Question

Solve the quadratic equation. x2+8x+16=25

Answer 1

Answer:

x=1,-9

Step-by-step explanation:

Move all terms to the left side of the equation and simplify.

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x

2

+

8

x

−

9

=

0

Use the quadratic formula to find the solutions.

−

b

±

√

b

2

−

4

(

a

c

)

2

a

Substitute the values

a

=

1

,

b

=

8

, and

c

=

−

9

into the quadratic formula and solve for

x

.

−

8

±

√

8

2

−

4

⋅

(

1

⋅

−

9

)

2

⋅

1

Simplify.

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x

=

−

4

±

5

The final answer is the combination of both solutions.

x

=

1

,

−

9