Roots of the equation
are ![x=3\,\,and\,\,x=5](https://tex.z-dn.net/?f=x%3D3%5C%2C%5C%2Cand%5C%2C%5C%2Cx%3D5)
Step-by-step explanation:
We need to find the roots of ![y=x^2-8x+15](https://tex.z-dn.net/?f=y%3Dx%5E2-8x%2B15)
Let the equation equal to zero
![x^2-8x+15=0](https://tex.z-dn.net/?f=x%5E2-8x%2B15%3D0)
We can find roots by factorization
Solving:
![x^2-8x+15=0](https://tex.z-dn.net/?f=x%5E2-8x%2B15%3D0)
For finding factors break the middle term such that their product equals to the product of first and last term and their sum equals to middle term
So, 8x can be break into -5x and -3x
Sum=-5x+(-3x)= -8x (same as middle term)
Product = -5x * -3x = 15x^2 (same as product of first and last term)
![x^2-5x-3x+15=0](https://tex.z-dn.net/?f=x%5E2-5x-3x%2B15%3D0)
Taking common:
![x(x-5)-3(x-5)=0](https://tex.z-dn.net/?f=x%28x-5%29-3%28x-5%29%3D0)
![(x-3)(x-5)=0](https://tex.z-dn.net/?f=%28x-3%29%28x-5%29%3D0)
![(x-3)=0\,\,and\,\,(x-5)=0](https://tex.z-dn.net/?f=%28x-3%29%3D0%5C%2C%5C%2Cand%5C%2C%5C%2C%28x-5%29%3D0)
![x=3\,\,and\,\,x=5](https://tex.z-dn.net/?f=x%3D3%5C%2C%5C%2Cand%5C%2C%5C%2Cx%3D5)
So, roots of the equation
are ![x=3\,\,and\,\,x=5](https://tex.z-dn.net/?f=x%3D3%5C%2C%5C%2Cand%5C%2C%5C%2Cx%3D5)
Keywords: Roots of equation
Learn more about roots of equation at:
#learnwithBrainly
Answer:
Yes you can!
Step-by-step explanation:
You are amazing at Math! You can do it, Keep going! All it takes is some hard work and studying. For practice do this math problem:
Karina has 2 apples total on Monday. On Tuesday, she has 3 total apples. On Wednesday, she has 5 total apples. On Thursday, she has 6 total apples. On Friday, she has 8 total apples. What is the pattern?
If you can solve that, you are good to go! If you can't solve that, you are still good to go!
I hope this makes you feel better!
<h2><u>
PLEASE MARK BRAINLIEST!</u></h2>