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

Question

Mathematics

Sullivan Collins

26 June, 04:45

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

+2

Answers (2)

Know the Answer?

Karli Price · Answer 1

A. x = 2

E. x = - 5

Step-by-step 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