#### Answer

x = -2 or x = 11

#### Work Step by Step

$x^{2} - 9x - 22$ = 0
Thus, we need two numbers such that their sum is -9 and product is = -22.
Thus, the required numbers are -11 and 2.
Check:
Sum = -11 + 2 = -9
Product = -11(2)= -22.
Solve the equation.
$x^{2} - 9x - 22$ = $x^{2} - 11x + 2x - 22$ = x(x - 11) + 2( x- 11) = 0.
Thus (x + 2)(x - 11) = 0.
If x+2 = 0,
then x = 0 - 2 = -2.
If x -11 = 0,
then x = 0 + 11 = 11.