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

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

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation: