# How do you solve x^2-9x+14=0?

Feb 4, 2015

Solve ${x}^{2} - 9 x + 14 = 0$.

The answer is $x = 7$ and $x = 2$.

Factor the left side of the equation.
$\left(x - 7\right) \left(x - 2\right) = 0$

Solve each term in the product separately.
$x - 7 = 0$
$x = 7$

$x - 2 = 0$
$x = 2$
$x = 7$
${7}^{2} - 9 \left(7\right) + 14 = 0$
$49 - 63 + 14 = 0$
$x = 2$
${2}^{2} - 9 \left(2\right) + 14 = 0$
$4 - 18 + 14 = 0$