# How do you solve 20-9x+x^2=0?

Aug 31, 2016

x=5 or x=3

#### Explanation:

The first step is to factor:
${x}^{2} - 9 x + 20 = 0$
$\left(x - 5\right) \left(x - 4\right) = 0$

The second step is to set each factor to zero:
$x = 5$ or $x = 3$

Aug 31, 2016

$x = 4$ or $x = 5$

#### Explanation:

The first step when solving for solutions is to factor the equation:
${x}^{2} - 9 x + 20 = 0$, which when factored will be: $\left(x - 4\right) \left(x - 5\right) = 0$

The next step is to solve each for zero:
$\left(x - 4\right) \left(x - 5\right) = 0$
$x = 4$ or
$x = 5$