Mathematics has be a big challenge to many students both at the elementary level and the higher educational level.
The difficulties in mathematics are due to so many factors ranging from bad teaching method by the teacher handling it, too many formulae, high level of volatility of the subject e.t.c.
Some even describe the subject as "A NO GO AREA".
Mathematics is one of the simplest subjects and to show this simplicity is the ultimate GOAL of this channel.
In this channel, we will show the techniques and tricks to knowing and mastery MATHEMATICS with easy.
We bring to you at least a video per day.
Welcome on board!!!
Пікірлер
81--26=65
2^4=16.Pl.delete 26
😮 Hence m=4
3^4=81, 2^4=26
81--26=66
3^4 --2^4=65
m=4
an equation such as this is impossible without guess-and-check. this is a rearranged form of the equation a^x + b = c^x where a, b, and c are constants equations like this simply cannot be solved unless by calculator.
Это зеркальное изображение? Если нет, то кто же так делит, что за кретинизм!
Wonderful
First to comment. Thanks for the nice work in mathematics.❤
To solve the equation (x+1)4+(x+2)4=17(x+1)^4 + (x+2)^4 = 17(x+1)4+(x+2)4=17, we need to find all possible solutions, including real and complex solutions. Step 1: Identify Integer Solutions by Trial and Error For x=0x = 0x=0: (0+1)4+(0+2)4=14+24=1+16=17(0+1)^4 + (0+2)^4 = 1^4 + 2^4 = 1 + 16 = 17(0+1)4+(0+2)4=14+24=1+16=17 Thus, x=0x = 0x=0 is a solution. For x=−3x = -3x=−3: (−3+1)4+(−3+2)4=(−2)4+(−1)4=16+1=17(-3+1)^4 + (-3+2)^4 = (-2)^4 + (-1)^4 = 16 + 1 = 17(−3+1)4+(−3+2)4=(−2)4+(−1)4=16+1=17 Thus, x=−3x = -3x=−3 is another solution. Step 2: Find Complex Solutions Next, let’s find the complex solutions by rewriting the equation. Rewriting the original equation using y=x+1y = x + 1y=x+1: y4+(y+1)4=17y^4 + (y+1)^4 = 17y4+(y+1)4=17 Trying y=0y = 0y=0: 04+14=0+1=1(Not a solution)0^4 + 1^4 = 0 + 1 = 1 \quad \text{(Not a solution)}04+14=0+1=1(Not a solution) Trying y=−1y = -1y=−1: (−1)4+04=1+0=1(Not a solution)(-1)^4 + 0^4 = 1 + 0 = 1 \quad \text{(Not a solution)}(−1)4+04=1+0=1(Not a solution) We need a different approach to find the remaining solutions. Let’s analyze the polynomial equation more deeply. Step 3: Solving the Polynomial We know from polynomial properties that it can produce complex roots. Considering: (x+1)4+(x+2)4=17(x+1)^4 + (x+2)^4 = 17(x+1)4+(x+2)4=17 Let’s solve for xxx in complex terms: We can solve for the polynomial by setting up: u=x+1u = x + 1u=x+1 v=x+2v = x + 2v=x+2 Then: u=v−12u = \frac{v-1}{2}u=2v−1 Substituting and solving for the complex roots using the quadratic formula properties, we get: u=−3±15i2u = \frac{-3 \pm \sqrt{15}i}{2}u=2−3±15i This results in: x=−3+15i2andx=−3−15i2x = \frac{-3 + \sqrt{15}i}{2} \quad \text{and} \quad x = \frac{-3 - \sqrt{15}i}{2}x=2−3+15iandx=2−3−15i Final Solution Set Thus, the complete solution set for the equation (x+1)4+(x+2)4=17(x+1)^4 + (x+2)^4 = 17(x+1)4+(x+2)4=17 includes: 1. Real solutions: x=0x = 0x=0 and x=−3x = -3x=−3 2. Complex solutions: x=−3+15i2x = \frac{-3 + \sqrt{15}i}{2}x=2−3+15i and x=−3−15i2x = \frac{-3 - \sqrt{15}i}{2}x=2−3−15i So, the complete set of solutions is: {0,−3,−3+15i2,−3−15i2}\{ 0, -3, \frac{-3 + \sqrt{15}i}{2}, \frac{-3 - \sqrt{15}i}{2} \}{0,−3,2−3+15i,2−3−15i}
Great Exponential.
X2(1-X)=12 X=-2
❤
Nice as always sir. I love your detailed explanation. More grace sir...❤❤❤
Nice as always sir. I love your detailed explanation. More grace sir...❤❤❤
❤Good question ❤👍👍👍
Belle démonstration.Merci beaucoup..
🙏 thank you so much sir,
Please sir can you do another video of this same problem but this eliminate the x variable first we are facing it challenging to arrive at the same answer
🇩🇿🇩🇿 شكرا
4
x=49, на вскидку!:)
Nice 👍👍👍
Nice and thanks for the video! However, the sound goes out a few time during the video. Either you have a sound recording issue or maybe it's KZread automatic words filtering feature (?) I noticed that this happens twice, at around 4:10 and another time a little further in the video.
The explanation is on high level. This is very good job.
I love both methods
Thanks
2nd method.
-2
If X=0 , Whole thing is meaning less, because 1/0.
Rjd. King 💚💚💚👑💚💚💚💚💚💚💚💚💚💚💚💚💚💚💚💪💪💪💪💪💪💪💪💪💪
Second method asap.
So lively dude, I like your enthusiasm. As for me, 2nd method is better.
Geneus
Fun as always!
Not clear to me
Great video, man, but....
matemática é linda !!:3
X= ✓2.
As the number is smaller we can apply trail and error method. Answer is 4.
Just take m=1,2,3 4.Now 4 satisfies the eqn.
The solution such as mind blowing. But there is a wrong line of solution is in the 2nd vertical line. x²-x-30=0 =>x²+5x-6x-30=0 =>(x²+5x)-(6x+30)=0 But Sir, instead this line you have written that x²-x-30=0 =>(x²+5x)-(6x-30)=0 Sir, please consider it. Thanks of a million Sir.🎉❤🎉
you should do some colabs for sure