Start with x^2 + 4x = 12 and complete the square, what is the equivalent equation?

A) (x + 2) ^2 = 16

B) (x + 2) ^2 = 14

C) (x + 4) ^2 = 16

D) (x + 4) ^2 = 28

Question

Hana

Mathematics

5 November, 09:14

Start with x^2 + 4x = 12 and complete the square, what is the equivalent equation?

A) (x + 2) ^2 = 16

B) (x + 2) ^2 = 14

C) (x + 4) ^2 = 16

D) (x + 4) ^2 = 28

+2

Answers (1)

Know the Answer?

Jayson Shah · Answer 1

The answer is A. You multiply each side by (b/2) ^2. B is 4. 4 divided by 2 squared is 4. To make it the same equation squared, you factor it to (x+2) ^2. You have to also add the (b/2) ^2 to 12 so 12+4=16

Start with x^2 + 4x = 12 and complete the square, what is the equivalent equation?A) (x + 2) ^2 = 16B) (x + 2) ^2 = 14C) (x + 4) ^2 = 16D) (x + 4) ^2 = 28

Start with x^2 + 4x = 12 and complete the square, what is the equivalent equation?

A) (x + 2) ^2 = 16

B) (x + 2) ^2 = 14

C) (x + 4) ^2 = 16

D) (x + 4) ^2 = 28