Shop my math t-shirts and hoodies on Amazon now: www.amazon.com/shop/blackpenredpen/list/290XVHH0MDUO9?ref_=aip_sf_list_spv_ofs_mixed_d

@shanggosteen9804

Жыл бұрын

I'd love to buy this merch but with Amazon the international shipping is almost $20. I really wish you'd open more suppliers near Asia but I think that's asking for too much lol

@leonardobarrera2816

Жыл бұрын

Blackpenredpen, Can you do videos teaching irrational numbers?, Please? I would like to know how number e to the power i*pi works solving irrational equations

@hasansaleh7530

Жыл бұрын

Hi My Inspiring Teacher @blackpenredpen please Check your Gmail Thank you for your time

It's always a wonderful day when blackpenredpen uploads

@PandaGMD

Жыл бұрын

100 quadratic equations when?

@AdityaKumar-gv4dj

Жыл бұрын

Yeah

@joshuagabel1717

Жыл бұрын

Tbh I've only noticed today that his channel name is blackpenredpen and not blackpendragon

@Mathfan002

11 ай бұрын

It is always a blackpenredpen uploads when wonderful day

@sonubawa3408

11 ай бұрын

#MathHelpers#MathHelpers

Ever since I have discovered this channel I have been learning so many incredibly valuable things !! Cannot put it in words how grateful I am for this and finding my fascination for mathematics to be growing and growing ♡

@sonubawa3408

11 ай бұрын

#MathHelpers#MathHelpers

i just started watching your videos and i love them , whenever my brother used to watch you i used to think who is this weird dude with a pokeball lol but honestly tysm , i have gotten to learn many new things

PROF what i learned from THIS video is factring and compliting square thanks for that i knew only the quadratic formula before

@sonubawa3408

11 ай бұрын

#MathHelpers#MathHelpers

Wonderful work. Thank you.

@sonubawa3408

11 ай бұрын

#MathHelpers#MathHelpers

You are amazing keep uploading I love your math videos

@sonubawa3408

11 ай бұрын

#MathHelpers#MathHelpers

Thank you, Sir. I like this video

Great service to science

IT IS A PLEASURE TO SEE YOUR VIDEOS SIR.

@sonubawa3408

11 ай бұрын

#MathHelpers#MathHelpers

Thanks PROF more videos like this 10 hour better👏

@sonubawa3408

11 ай бұрын

#MathHelpers#MathHelpers

Next : 12 cubic equations questions

Wow, that was an incredible lesson! Almost 100 minutes of math 🇧🇷✌️

@im.rishabh_ofc

Жыл бұрын

Watch his 100 series 100 integral 100 calculus 100 derevative The titles are something like that and they are of minimum 5 hrs

@solve90s

Жыл бұрын

@@im.rishabh_ofc 🤣

@sonubawa3408

11 ай бұрын

#MathHelpers#MathHelpers

@sonubawa3408

11 ай бұрын

@@solve90s #MathHelpers#MathHelpers

I wish teachers would explain that the sqrt(x^2) is |x| (absolute value of x) and that is why to solve the absolute value equation, we need to put down the plus minus. Right now, it’s two mistakes that confuse students. By doing the sqrt cancel and put down the plus minus, students might make 2 wrong connections in their brain. That sqrt(x^2) is x and sqrt(4) for example is plus minus 2.

@dananajj

Жыл бұрын

Sqrt(4) is just 2, positive 2. It's not plus minus 2.

@skc4188

Жыл бұрын

@@dananajj Koen isn't saying otherwise. They actually point out that many people make the mistakes mentioned due to a lack of clarity in classes regarding how rooting works

@carultch

Жыл бұрын

​@@skc4188 Here's an interesting experiment for you to try with rooting. Try calculating (-8)^(1/3) and (-8)^0.3333 in Google Calculator, and observe that you will get significantly different results, even though you are ultimately solving the same approximate problem. This is why less-sophisticated calculators can give you an error when you attempt the same problem, even though the solution is a real number. So, can you explain why you get significantly different results, and why each result is equally valid (approximately) to the original expression of cube root of -8? I know the answer. Let me know if you can figure it out.

@Apollorion

Жыл бұрын

@@carultch Well, 1/3 isn't 0.3333 and xxx = -8 has more solutions than just x = -2.

@carultch

Жыл бұрын

@@Apollorion True, but what are those other solutions, and why does the exponent of 0.3333 cause the calculator to default on a solution than is nowhere near x=-2? I'll give you a clue. If you try this with 5th roots, such as (-32)^(1/5), you will get the real solution of -2, whether the exponent is 1/5, or whether the exponent is 0.2. But there is a reason why 3rd roots get stuck on a complex solution, if the calculator rounds the fractional exponent of 1/3.

I WISH WISH WISH there were videos just like this but for Physics questions....

Could you please form a playlist in which u will teach us calculus from basic to standard The questions of quadratic are very easy for us but we get problems in calculus only so teach us calculus if possible For that i shall be very thankful to you 😊

@sonubawa3408

11 ай бұрын

#MathHelpers#MathHelpers

For Q3, you can actually take the square roots of both sides and it would be quicker too. This would give you (3x-1) = 2x^(1/2) , --> 3x -2x^(1/2) -1 = 0 , which you can treat as a quadratic by substituting y=x^(1/2) to give y^2-2x-1=0 (I didnt take into account the other root as i would get the same anwser anyway). This can be solve to give (3y-1)(y+1) , (if you had considered the other root, ie -2x^(1\2), you would have the same expression with the signs swapped in the factored form, but since you are solving for y^2, ie x, the signs swap doesnt matter as the the result would be positive regardless of sign). y^2=(1/3)^2 = 1/9 and y^2=(-1)^2 = 1

@sonubawa3408

11 ай бұрын

#MathHelpers#MathHelpers

I might be watching pausa with but full video no minute wasted PROF 👍🤗

make a video on the different completing the square method! super nice!

@sonubawa3408

11 ай бұрын

#MathHelpers#MathHelpers

Please make complex numbers study guide.

Plz make a video on logarithmic functions

good job, 76 more quadratic equations to go!

@sonubawa3408

11 ай бұрын

#MathHelpers#MathHelpers

You teach very good. I want to get better at math and the more basic things are lacking a bit. 33:23 I want to do all the questions.

@sonubawa3408

11 ай бұрын

#MathHelpers#MathHelpers

Another problem that would have been good to have as a bonus would be x^4+3x^2=1. It isn't necessarily a quadratic equation but it resembles one and it uses the numbers 1, 2, 3, and 4.

@carultch

Жыл бұрын

Ah yes, the hidden quadratic equations, inside higher order polynomials. Simply let W = x^2, and it becomes a quadratic equation in terms of W. Then, our solutions for x, becomes both of the square roots of both solutions for W

@seanbastian4614

Жыл бұрын

@@carultch Exactly my thought. I always feel students need to see those hidden quadratics.

@carultch

Жыл бұрын

@@seanbastian4614 I came across a similar problem like this, setting up an example for Lagrange multipliers. The problem stumped Wolfram Alpha's computation time, but with a change of variables, letting V replace x^2 and W replace y^2, it was much easier to solve.

@seanbastian4614

Жыл бұрын

@@carultch Ok. I don’t understand Lagrange Multipliers that much but still nice application.

@carultch

Жыл бұрын

@@seanbastian4614 Think of it this way. You're given a hill's shape, with its z-position, as a function of x and y horizontal coordinates. You are also given a trail on this hill, also as a function of x and y. You'd like to find the highest point on the trail, or the lowest point. What you do is look for places where the trail is locally parallel to a contour line, which is where you'll have a local extreme point in the elevation on the path. The Lagrange multiplier is dummy variable you don't ultimately care about It helps you set up a system of equations, to look for alignment with the hill's gradient, and the path's normal vector.

33:25

In sweden we do PQ Formula x²+px-q=0

33 23 im here the night before my exam!

Please tell me sir about board size, ❤❤the lecture

i was watching at 33:24 :)

1:36:43 i multiplied by 3 and i came up with the same answer its realy cool

@sonubawa3408

11 ай бұрын

#MathHelpers#MathHelpers

24 questions, 1 x 2 x 3 x 4, this was not a coincidence, was it?

33:37 yep in the class

I am still here, sir 33:23 😇😇😇

@blackpenredpen

Жыл бұрын

Thank you!

@CalmArgha1243

Жыл бұрын

Welcome Sir.

33:23 here :)

@blackpenredpen

Жыл бұрын

Awesome! Thanks!

I want AI to progress the point where I can type in a maths problem and a blackpenredpen avatar will run through the explanation.

For Q2, arent you supposed to check if the solutions are valid by inserting the x-values in the original equation and see if left side = right side since there can be false solutions when squaring both sides?

@Apollorion

Жыл бұрын

When you're not certain you'll always do well to verify the solutions in the original equation. Those false solutions you're thinking of come from (-A)(-A)=(A)(A) and that hence (A)(A)=(B)(B) can be solved not only by A=B but also by A=-B. If you begin an equation equivalent to A=B and wish to find the solutions by squaring both sides then you'd indeed added the false solution A=-B. The Q2 however already in the beginning is of the form (A)(A)=(B)(B), and what BPRP does is not square both sides but taking the square root of both sides to find both A=B and A=-B as solutions. (Think of A and B as some arbitrary expressions.)

@shotdown5191

Жыл бұрын

@@Apollorion Okay thank you for clarifying! I got the two mixed up!

Why couldn’t this come before the Algebra I and 2 Regents :(

Can you do a video on quadratic in-equations, i’ve got a uni entrance exam in 3 days so I’d appreciate it

@carultch

11 ай бұрын

I think you mean quadratic inequalities. Equations such as -x^2 + 5*x > 6. It's just like solving the quadratic equation, to find the boundaries of the valid domain of x-values that satisfy this inequality, which in this case are x=2 and x=3. In order to determine how to establish whether it is between these bounds, or outside these bounds, you need to consider the nature of this eqaution. The negative on x^2 tells you that it is concave-down, and therefore peaks out above the line y=6, in the interval of x E (2, 3). So this means the solution is x E (2, 3) or 2 < x < 3. It is an exclusive interval, excluding the 2 and 3, because the original inequality uses an exclusive greater than sign.

@Jenyuryuji05

11 ай бұрын

@@carultch yes yes i meant that

Now black-red-blue pens 😂👏👏👏

😁😁We miss you, Mr. Shaw. Why haven't you posted videos for a long time

you're my hero

@exherbo

Жыл бұрын

mine as well. very well done, master!

23:40 That would have been great, though 😂🎤

Respect to this man...he is trying hard to speak English...respect sir 👍

5:53 is # ever going to mean "hastag" in mathematics?

@VenkataB123

Жыл бұрын

What significance would it have by meaning that?

@carultch

11 ай бұрын

@@VenkataB123 Hashtags are used in C programming, to include libraries. Like #include math, will include the mathematics package, that allows you to access your transcendental functions, beyond the functions that come standard with the programming language. You determine which library to include, and which ones not to include, in order to make your program more memory efficient.

@carultch

11 ай бұрын

@@VenkataB123 Another significance. Suppose you want to specify that e refers to a generic variable, that has nothing to do with Euler's number. Or that gamma has nothing to do with the Euler-Mascheroni constant. The hashtag could override a default use of a variable.

@VenkataB123

11 ай бұрын

@@carultch They asked specifically in Mathematics, so your programming argument is irrelevant. As for the other comment, no one would ever use "e" as a variable. e is always used for Euler's number. Using letters cautiously is enough. We don't need to unecessarily complicate things, especially not in Math, where we aim to simplify stuff.

You forgot a semi colon in the time stamp for the last question (Description)

PROF if U buy smart board U don't have to iraze anymore😊

I really liked your video on quadratic equations, what suggestion do you give me to learn the English language?

@sonubawa3408

11 ай бұрын

#MathHelpers#MathHelpers

33:20 still watching

@blackpenredpen

Жыл бұрын

Thank you!

Can someone please explain to me how x^2+4x+4 gets turned into (x+2)^2

@silencetime6296

Жыл бұрын

it is simple , just we can expand the (x+2)^2 to (x+2) (x+2) and multiply it and we get x^2+4x+4 and we can do the reverse.

Hey plz read my comment... I have a great qn Suppose u have 1 yellow colour highlighter. U can produce only yellow colour. Means 1 colour is produced with 1 highlighter. If u have yellow and blue highlighter then u can produce blue , yellow and (yellow + blue=) green colour. Means if if u have 2 highlighters then u can produce 3 colours. Similarly if u have 3 colour highlighter then u can produce 7 colours So, how many colour can u produce with x number of highlighter(of diff colours)?????

@carultch

11 ай бұрын

This ultimately is a question of the nature of human vision, rather than any kind of mathematical combination of the number of highlighters you have.

Yo

@Juan_Carlos386

Жыл бұрын

Yo

@maalikserebryakov

Жыл бұрын

Yo

@artophile7777

Жыл бұрын

Yo

Bro has a whole stock of markers 🤣

Me: *Pulls out calculator*

You look younger

for a moment i thought it was the quartic formula💀

∫

Hey can you help me with this. Solve the Inequality (log₃x)²

33:23

33:22