If using the method of completing the square to solve the quadratic equation x^2+17x+12=0x 2 + 17x+12=0, which number would have to be added to "complete the square"?

Question

Jaxson Swanson

Mathematics

7 August, 03:54

If using the method of completing the square to solve the quadratic equation x^2+17x+12=0x 2 + 17x+12=0, which number would have to be added to "complete the square"?

+1

Answers (2)

Know the Answer?

Micheal Alexander · Answer 1

(x+7/2) = 1/4

Step-by-step explanation:

I got it on Khan Academy, trust me. It's right. I got it wrong because of the other answer here, so your welcome, but this is the correct answer, Khan Academy people.

Taylor Montgomery · Answer 2

289/4

Step-by-step explanation:

x² + 17x + 12 = 0

x² + 17x = - 12

Take half of the second coefficient, square it, then add the result to both sides.

(17/2) ² = 289/4

x² + 17x + 289/4 = - 12 + 289/4

(x + 17/2) ² = 241/4