Question

If using the method of completing the square to solve the quadratic equation
x^2+2x – 31 = 0, which number would have to be added to "complete the
square"?
==

Answer 1

Answer:

• See below

Step-by-step explanation:

Given equation:

• x² + 2x - 31 = 0

Complete square as follows:

• x² + 2x + 1 - 31 = 1
• (x + 1)² = 32
• x + 1 = ± √32
• x = - 1 ± 4√2

Answer 2

Step-by-step explanation:

We need to solve the equation using completing the square method .

=> x² - 2x - 31 = 0

=> x² -2*1*x + 1² - 1² - 31 = 0

=> ( x -1)² - 32 = 0

=> (x+1)² = 32

=> x +1 = ±√32

=> x = ±4√2 - 1