# How do you solve x^2 - 11x + 30 = 0?

Oct 4, 2016

$x = 5$ and $x = 6$

#### Explanation:

${x}^{2} - 11 x + 30 = 0$

$\left(x - 6\right) \left(x - 5\right) = 0 \textcolor{w h i t e}{a a a a}$ Factor

$x - 6 = \textcolor{w h i t e}{a} 0 \textcolor{w h i t e}{a a a} x - 5 = 0 \textcolor{w h i t e}{a a a}$ Set each factor equal to zero

$\textcolor{w h i t e}{a} + 6 \textcolor{w h i t e}{a} + 6 \textcolor{w h i t e}{a {a}^{11} a} + 5 \textcolor{w h i t e}{a} + 5 \textcolor{w h i t e}{a a a a}$ and

$\textcolor{w h i t e}{a {a}^{1} a} x = 6 \textcolor{w h i t e}{a a a a a a a} x = 5 \textcolor{w h i t e}{a a a a a}$ solve