Question

Solve the quadratic equation for x. What is the product when the roots are multiplied? (x + 2)2 = 1 A) −3 B) −6 C) −9 D) 3

Answer 1

D

Explanation:

To solve the quadratic equation, use the inverse operation to squaring. This will undo the exponent and allows x to be isolated. The inverse operation is the square root. This is called the square root property of equality.

(x + 2)² = 1

√(x+2)² = √1

(x+2) = ±1

x = 1 -2 and x = -1 - 2

x = -1 and x = -3

The product of the roots -1 and -3 is -1*-3 = 3