Question

Some of the steps for completing the square to solve

x2 + 5x = 2 are shown.

x2 + 5x = 2

x2 + 5x + (StartFraction 5 Over 2 EndFraction) squared = 2 + (StartFraction 5 Over 2 EndFraction) squared

(x + StartFraction 5 Over 2 EndFraction) squared = StartFraction 33 Over 4 EndFraction

Which are solutions of x2 + 5x = 2? Check all that apply.

StartFraction 5 Over 2 EndFraction + StartFraction StartRoot 33 EndRoot Over 4 EndFraction
StartFraction 5 Over 2 EndFraction + StartFraction StartRoot 33 EndRoot Over 2 EndFraction
StartFraction 5 Over 2 EndFraction minus StartFraction StartRoot 33 EndRoot Over 2 EndFraction
StartFraction negative 5 Over 2 EndFraction minus StartFraction StartRoot 33 EndRoot Over 2 EndFraction
StartFraction negative 5 Over 2 EndFraction + StartFraction StartRoot 33 EndRoot Over 2 EndFraction

Answer 1

❌ A.

❌ B.

❌ C.

✔ D.

✔ E.

Answer 2

D and E

Explanation:

StartFraction negative 5 Over 2 EndFraction minus StartFraction StartRoot 33 EndRoot Over 2 EndFraction

StartFraction negative 5 Over 2 EndFraction + StartFraction StartRoot 33 EndRoot Over 2 EndFraction