Some of the steps for completing the square to solve x2 + 5x = 2 are shown. x2 + 5x = 2 x2 + 5x + = 2 + Which are solutions of x2 + 5x = 2? Check all that apply.

The solutions would be + 0.37 and - 0.37.

When completing the square, we take 1/2 of the value of b (in this case 5). 5/2=2.5. We then square this number: 2.5²=6.25. We add this value to both sides of the equation:

x²+5x+6.25 = 2+6.25

(x+2.5) ² = 8.25

Take the square root of both sides:

√ (x+2.5) ² = √8.25

x + 2.5 = 2.87

Subtract 2.5 from both sides:"

x+2.5-2.5 = 2.87-2.5

x = 0.37

We have to take the positive and negative values for solutions, however, since a square root has both positive and negative answers.