Is it possible to factor y=x^2-8x+3 ? If so, what are the factors?

1 Answer
Mar 11, 2018

Yes, it is possible. The factors are (4+sqrt13) and (4-sqrt13).

Explanation:

y=x^2-8x+3

Using the quadratic formula,

x=(-(-8)+-sqrt((-8)^2-4(1)(3)))/(2(1))
color(white)(x)=(8+-sqrt52)/2
color(white)(x)=(8+-2sqrt13)/2
color(white)(x)=4+-sqrt13

y=(4+sqrt13)(4-sqrt13)

:D