Question

use factoring to solve the quadratic equation. check by substitution or by using a graphing utility and identifying x - intercepts. x^2 - 5x - 36 = 0 the solution set is {}. (use a comma to separate answers as needed. type repeated roots only once.)

Explanation:

Step1: Factor the quadratic equation

We need to find two numbers that multiply to - 36 and add up to - 5. The numbers are - 9 and 4. So, $x^{2}-5x - 36=(x - 9)(x+4)=0$.

Step2: Solve for x

Set each factor equal to zero.
If $x - 9=0$, then $x = 9$. If $x + 4=0$, then $x=-4$.

Answer:

$-4,9$