Question

If Nadia is solving x^2 + 8x =24 by completing the square, what number should she add to

both sides?

Answer 1

+ 16

Explanation:

x² + 8x = 24

to complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(4)x + 16 = 24 + 16

Answer 2

Subtract 24 from both sides.

Explanation:

x2+8x=24

Step 1: Subtract 24 from both sides.

x2+8x−24=24−24

x2+8x−24=0

For this equation: a=1, b=8, c=-24

1x2+8x+−24=0

Step 2: Use quadratic formula with a=1, b=8, c=-24.

x=

−b±√b2−4ac

2a

x=

−(8)±√(8)2−4(1)(−24)

2(1)

x=

−8±√160

2

x=−4+2√10 or x=−4−2√10

Answer:

x=−4+2√10 or x=−4−2√10