Which of the following statements describes one part of completing the square for x² + 4x = 32?
Take the square root of 36 and add 2
Take the square root of 32 and subtract 2
Take the square root of 36 and subtract 2
Take the square root of 32 and add 2

Solution:

Given: Equation is x² + 4x = 32

Now add 4 on both sides for completing the square.

x² + 4x + 4 = 32 + 4

x² + 4x + 4 = 36

So we get,

(x + 2)² = 36

Taking square root on both sides

√(x + 2)² = √36

We know that

x + 2 = ±6

x + 2 = 6 or x + 2 =  6

x = 6 - 2 or x = -6 - 2

x = 4 or x = -8

Therefore, the statement which describes one part of completing the square is to take the square root of 36 and subtract 2.

Which of the following statements describes one part of completing the square for x² + 4x = 32?

Summary:

The statement which describes one part of completing the square for x² + 4x = 32 is to take the square root of 36 and subtract 2.