Question

Which of the following are solutions to the quadratic equation? Check all that

apply.
x2 + 8x + 16 = 7

Answer 1

x = - 4 ±
`√(7)`

Explanation:

Given

x² + 8x + 16 = 7 ( subtract 16 from both sides )

x² + 8x = - 9

Using the method of completing the square

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

x² + 2(4)x + 16 = - 9 + 16

(x + 4)² = 7 ( take the square root of both sides )

x + 4 = ±
`√(7)` ( subtract 4 from both sides )

x = - 4 ±
`√(7)`

Then

solutions are x = - 4 -
`√(7)` , x = - 4 +
`√(7)`

Answer 2

x=-9/10

Explanation:

2x+8x+16=7

Step 1: Simplify both sides of the equation.

2x+8x+16=7

(2x+8x)+(16)=7(Combine Like Terms)

10x+16=7

10x+16=7

Step 2: Subtract 16 from both sides.

10x+16−16=7−16

10x=−9

Step 3: Divide both sides by 10.

10x/10

=

−9/10

x=-9/10