Tony factored x2 -7x + 10 as (x - 2)(x - 5). Michelle factored it as (2 - x)(5 - x). Why are both answers correct .

step-by-step explanation:

what grade level is this? need to know so i can look in my old textbooks!

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step-by-step explanation:

let's call the solutions x₁ = (5 - 2√7)/3 and x₂ = (5 + 2√7)/3

then the equation is (x-x₁)(x-x₂) = 0

if you fill that in you get a lot of numbers which you can recognize as ax²+bx+c=0.

step-by-step explanation:

you can see that a=1 (there is just an x²)

b = (-5 -2√7 + 2√7 - 5)/3 = -10/3

c = -2√7)/3 ) * (-5+2√7)/3) = -1/3

so your answer is 3x^2 – 10x – 1 = 0

this is a good question! i’ll do some research and what i find, i’ll contact you asap when i have something! ✊