Question

Solve the quadratic function by completing the square. What are the missing pieces in the steps?

_32 = 2(x2 + 10x)

Answer 1

Explanation:

-32 = 2(x² + 10x)

Complete the square

 coefficient of the x term: 10

 divide coefficient in half: 5

 square it: 5²

 use 5² to complete the square and keep the equation balanced:

-32+2·5² = 2(x² + 10x + 5²)

18 =2(x+5)²

9 = (x+5)²

x+5 = ±√9 = ±3

x = ±3 - 5 = -2, -8