Answer
$x=8$ or $x=6$
Work Step by Step
Given: $y=x^2-14x+48$
The function is in quadratic form: $y=ax^2+bx+c$
with $a=1, b=-14, c=48$
Find x by using:
$x=\frac{-b \pm \sqrt b^2-4ac}{2a}=\frac{-(-14)\pm\sqrt (-14)^2-4.1.48}{2.1}=\frac{14\pm2}{2}$
$x=\frac{14+2}{2}$ or $x=\frac{14-2}{2}$
$x=8$ or $x=6$