let's call the solutions xโ = (5 - 2โ7)/3 and xโ = (5 + 2โ7)/3
then the equation is (x-xโ)(x-xโ) = 0
if you fill that in you get a lot of numbers which you can recognize as axยฒ+bx+c=0.
step-by-step explanation:
you can see that a=1 (there is just an xยฒ)
b = (-5 -2โ7 + 2โ7 - 5)/3 = -10/3
c = -2โ7)/3 ) * (-5+2โ7)/3) = -1/3
so your answer is 3x^2 โ 10x โ 1 = 0