Question

which of the following are solutions to the equation below check all that apply 2x^2 +6x = 20 A) 2 B) -10 C) 1 D) 20 E) -5 F) -2

Answer 1

A. x = 2

E. x = -5

Explanation:

Step 1: GCF

2(x² + 3x) = 20

x² + 3x = 10

Step 2: Complete the Square

x² + 3x + 9/4 = 10 + 9/4

(x + 3/2)² = 49/4

Step 3: Solve

√(x + 3/2)² = √49/4

x + 3/2 = ±7/2

x = -3/2±7/2 or x = -5, 2