Question

Find all real values of x for which f(x) = 0. (Enter your answers as a comma-separated list.) f(x) = x2 − 5x − 14

Answer 1

x = 7 or x = -2

Explanation:

=> f(x)= x²-5x-14

=> x²-5x-14 =0

=> x(x-7) + 2(x-7)=0

=> (x-7)(x+2)= 0

=> x-7 =0 or x+2 = 0

=> x = 7 or x = -2

Answer 2

• x² - 5x - 14 = 0

• x² - 7x + 2x - 14 = 0

• x(x - 7) + 2(x - 7) = 0

• (x - 7)(x + 2) = 0

possible values of x = 7 and -2