Definitely subscribing.. you're so clear ❤

A useful lesson. Completing the square can be cumbersome. This case lends itself to a much easier solution method. Step One: Multiply the lead coefficient by the constant. 3 x -15 = -45 Step Two: Find factors of -45 that when added give us the coefficient of the second term: 9 and -5 are factors that add to 4. Step Three: Divide the factors of 9 and -5 by the lead coefficient of 3: 9/3 and -5/3. Step Four: Change the signs of 9/3 and -5/3 and simplify -9/3 for the answers of -3 and 5/3.

@almklit

5 ай бұрын

Yes this is better

I have never seen such a clear explanation of how to solve a kwadratic equation by completing the square. This video should help many young people having problems with this topic . Grtz from Amsterdam, the Netherlands.

@okay77561

2 ай бұрын

its quadratic

@MayaGhule-is1te

Күн бұрын

LOL!

The process which you said and our teacher is totally differnt but you explained nicely

3x^2 + 4x - 15 = 0 3x^2 + 9x - 5x - 15 = 0 3x (x + 3) - 5 (x + 3) = 0 (3x - 5) (x + 3) = 0 3x - 5 = 0 & x + 3 = 0 x = 5 / 3 & x = -3 🖕 Ma'am, is this process wrong?

@LKLogic

Жыл бұрын

This method is called product-sum rule. In Video, there is another method shown by which you can also derive the solutions that is called completing the square. You can use different methods as and when required!

Thanks for this video. I would solve this easier 😅

Thank you so much, I can now subscribe to this challenge, it surprised me how I understood how to complete the square technique in five minutes.

Quadratic formula took less than 3 minutes to get answers.

@nithyaprabaharan2832

11 ай бұрын

But this question v ve to solve only by this method.

@challengemasters775

7 ай бұрын

Unfortunately, exams may ask you to write polynomials in that specific form, which cannot be done with the formula. That would be wishful thinking.

@user-xl1ig1bn6i

7 ай бұрын

Now the question requires you u to use the competing the square method then you have no choice but to comply

3x² + 4x - 15 = 0 Next, we have x² + 4x - 45 = 0 (x - 5)(x + 9) = 0 (x - 5/3)(x + 9/3) = 0 (3x - 5)(x + 3) = 0 Therefore, x + 3 = 0 x = -3 and, 3x - 5 = 0 3x = 5 x = 5/3

@MeronMieso-pe9pq

6 ай бұрын

Ur good at mathes

WONDERFUL ! THANKS 👍

Excellent explanation. Very easy to understand although I’m still unsure of at least 1-2 parts of it. I must rewatch to learn…. Thank you ❤❤❤❤

THANKS for Solve Completing the Square Solution🥰🙏

When the second term is prime, i go to the quad. form . to try and avoid fractions. But you helped me face my fear with this video

very logical and simple to understand..🙂💜

Very very nice solving

well done thank you

Well understood ❤

Thanks a lot and keep it up ❤🇿🇲

bring back memories 😊

Fair enough, but simple factoring the trinomial is easier.

Thank you very much

Thanks ive learnt

Thank u jimmy 👍

I love it so much I will work hard

4/6 not equal (2/3)**2

You speak fluent and beautiful English

Hi, This is a great video of Completing the Square. How do you video yourself working this problem with paper and pencil? Thanks so much! Happy New Year

When I took Algebra in high school our math teacher spent only one day showing this and the next day, she showed how the quadratic formula came from this method and after that we just used the formula to solve equations. It is much easier using the quadratic formula than going through the completed the square method.

@adityapingle4923

9 ай бұрын

but when you study higher algebra it is very useful method like in calculus

@jerrypaquette5470

9 ай бұрын

In college, I took three semesters of calculus and a course called advance math for engineering's. I do not remember doing completing the square in those classes. @@adityapingle4923

@AngryEgg6942

7 ай бұрын

This is how the quadratic formula was found. Replace the numbers with a, b and c and use this same method and you will find it yourself.

@jerrypaquette5470

7 ай бұрын

@@AngryEgg6942 I believe I said that. The quadratic formula came from completed the square. Once you have the formula no is no need to go through the completing the square method.

@AngryEgg6942

7 ай бұрын

Yes I agree @@jerrypaquette5470

Thanks God bless you 🙏👌👌

Nice

YOU ARE THE BEST

This equation 3x² + 4x - 15 = 0 can be factored perfectly in (3x-5)(x+3)=0 so I will not complete the square. Also the abc-formula is much easier and more insightful: D = b² -4ac = (4)² - 4.(3).(-15) = 16 + 180 = 196 ( positive so 2 solutions for y = f(x) = 0 ) x-coordinate of top of parabola: xtop = -b/2a = -(4) / (2.3) = - 2/3 distance between xtop and x1,x2 : delta = SQR(D) / 2a = SQR(196) / (2.3) = 14 / 6 = 7/3 x = xtop MINUS/PLUS delta x1 = - 2/3 MINUS 7/3 = -9/3 = - 3 x2 = - 2/3 PLUS 7/3 = 5/3

There is a quicker method that circumvents fractions: Multiply the equation with 12 (that's 4a) and THEN complete the square: (6x+4)^2=......and then take square roots. Done

Good logic 👍

thank s alot

Am watching this while I've a test tomorrow 😭😭

Why did we multiply 4/3 by 1/2? Are we allowed to do that without affecting the other side of equation?

@chocolateangel8743

Жыл бұрын

Dividing the middle term by 2 (and squaring it) is part of Completing The Square. Dividing something by 2 and multiplying something by 1/2 are equivalent operations. As such, most people just multiply by 1/2 because it's faster (something they can do in their heads).

@JosieCat3

Жыл бұрын

@@chocolateangel8743 Thank you! It has been too long for me, and tbh, I don’t even remember learning that method, only the other one mentioned in the comments. Thank you for showing me a new way to find the answer to this tricky problem.

@chocolateangel8743

Жыл бұрын

@@JosieCat3 You're welcome. I was forced to re-discover math in order to help my niece and nephew with their homework, so I've learned a lot -- especially since they changed over to Common Core math. I was taught under the old-teaching model of algorithmic memorization, which basically was like, "You have two days to memorize this process (by doing lots of problems)." If we didn't get it, we were just screwed. 🤣

@JosieCat3

Жыл бұрын

@@chocolateangel8743 I appreciate these problems so much more now that I am older…they just seem like interesting puzzles that I must know the answer to now! Your niece and nephew are lucky to have you and know that you care about their education. Nothing could be of more importance in these times than education that includes math and critical thinking skills.

@chocolateangel8743

Жыл бұрын

@@JosieCat3 Yeah, math is more fun than teachers make it out to be. The only reason I got involved in their education is because my sister came in one day, threw some papers at me, and said, "If you don't figure this out, your niece and nephew are going to fail!" 🤣 We are only one year apart, so we grew up being taught the same way and basically had the same teachers. Besides wanting to help them, I was also curious as to whether or not the more conceptual approach would work better for me that the traditional one did. I quickly learned that, when it comes to math, I'm more of a conceptual math learner. I'm the kind of person that needs to understand mathematical logic (concepts and properties, why something works the way it does) in order to successfully execute algorithms. I also tend to prefer alternative approaches to the standard algorithms. If you're having trouble with this standard approach, you might want to check out approaches that use area models or the Po-Shen Loh method, for example. Good luck!

What is this💀

With nonmonic quadratic equations, you can avoid the use of fractions until the very last step by using Sridhara's method, which starts by multiplying both sides of the equation by four times the coefficient of the quadratic term and then complete the square by adding and subtracting the square of the coefficient of the linear term of the _original_ equation. Using this method we can solve the equation in the video as follows: 3x² + 4x − 15 = 0 36x² + 48x − 180 = 0 36x² + 48x + 16 − 16 − 180 = 0 (6x + 4)² − 16 − 180 = 0 (6x + 4)² = 196 6x + 4 = 14 ⋁ 6x + 4 = −14 6x = 10 ⋁ 6x = −18 x = 5/3 ⋁ x = −3 With some practice, you can of course skip the third and next to last steps. Alternatively, we can start by bringing the constant term over to the right hand side as you do in the video, then we get 3x² + 4x = 15 36x² + 48x = 180 36x² + 48x + 16 = 196 (6x + 4)² = 196 6x + 4 = 14 ⋁ 6x + 4 = −14 x = 5/3 ⋁ x = −3

4/3 not equals to (2/3) power 2

How do we know we will add 1/2 both side

🔥

Fun fact: this is how the quadratic formula was found. Also means there is no need for this way to solve anything and just use the quadratic formula.

where does 4/3x go.

Very complicated method😮

Good

@ittchong

Жыл бұрын

আপনি কি Japanese

bro i dont understand .. like do we always need to take the half of the middle number

Just had an assignment to solve this type of problem by factoring, quadratic formula, and completing the square.. didnt even answer the problem by completing the square lol. Idk why but it bugs me😅

Can you do checking?

@shannonmcdonald7584

2 ай бұрын

If there is no x on right side of equation, there is an extraneous solution.

0:17 did u hear what i heard?

Add fractions

No the question is asking you to do from completing square method

Ans.-3

❤

4/6 = (2/3) exp2 😮 ?????

😮so confusing😢

@jim2376

7 ай бұрын

See my post. There's an easier solution.

madam do you know 4 aur 2 cut jate hai multiply karne ke need nhi h lol!

I thought it is (b/2)^2?

7th STD maths

ap qustan pakistan ke smja rahi ho aur bat english me kar rahi ho wah

This is all too complicated to remember… quadratic formula is literally easier and makes more sense

@ManiAdhikari-dh1cc

7 ай бұрын

But in higher class while doing integration u need this method😅

@ellies2612

7 ай бұрын

@@ManiAdhikari-dh1cc integration who with who

That's too much gymnastic just use the discriminant equation and problem solve

@waz_gaming7369

6 ай бұрын

My teacher wants us to use all equations. I'm only gonna use this for my math class

@gabrielrichard6007

6 ай бұрын

You can't just use that when the question specifically request you to use a particular method like this.

@muhammadajmal6666

5 ай бұрын

kzread.info/dash/bejne/o2uBj7algszVgNI.htmlsi=jKPr_mXDKgHmph9e

@muhammadajmal6666

5 ай бұрын

kzread.info/dash/bejne/o2uBj7algszVgNI.htmlsi=jKPr_mXDKgHmph9e

@user-oz1lu6zp2k

3 ай бұрын

@Brocambro no one cares abt ur opinion

That's to much many explain less and slower

I agree that’s not right

Kia ki ja rahi Hy ap

Lol cut cut

nega fifteen

You used too long and a complicated method. This equation should be solved in your brain without this lengthy process by selecting sum/product numbers. (3X-5) & (X+3) = 0 X = 5/3 or X = -3

Bkkk

What happened to the 3 that was equal to both side, that was under 5 on the right side 🧐

😡

Took too long to solve this equation with unnecessary steps.

This is too much

Guys anyone who can help me how to solve the discount rate

You are wrong mom, this equation must not divided by three, in this case your knowledge in completing square of quadratic equation is lacking and too narrow, you must studying again about quadratic equation integrally.

@emilymoigenyanchera1908

2 ай бұрын

Noo madam did it excellently n she is very very correct❤

@RikiFaridoke

2 ай бұрын

@@emilymoigenyanchera1908 i mean, when you taking completing square method, you must not divided that equation by three, you can modify by root of three

@Visionaryminute

2 ай бұрын

What is wrong with the division of 3?

@RikiFaridoke

2 ай бұрын

@@Visionaryminute it is seem that you are never understand about quadratic equation

@zafrinjiffry2550

2 ай бұрын

Not wrong it's correct

But why are you copying pre math KZread channel?

not so good

Every time you see a fraction...bad bad bad. A fraction and a radical...asking for truble. Way better like @jim2376 does.

@NadiehFan

4 ай бұрын

See my main comment on this video on how to solve this equation easily by completing the square, no fractions and no radicals.

❤