Which of the following correctly completes the square for the equation below x^2+2x=13

Question

Cherish

Mathematics

23 November, 19:03

Which of the following correctly completes the square for the equation below x^2+2x=13

+3

Answers (1)

Know the Answer?

Colton · Answer 1

x² + 2x = 13

x² + 2x + 1 = 13 + 1

x² + x + x + 1 = 14

x (x) + x (1) + 1 (x) + 1 (1) = 14

x (x + 1) + 1 (x + 1) = 14

(x + 1) (x + 1) = 14

(x + 1) ² = 14

x + 1 = ±√14

x = - 1 ± √14