Algebra: A Combined Approach (4th Edition)

$x^{2} - 9x - 22$ = 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.