Answers Algebra III ASolving Quadratic Equations: Completing the Square

Solving Quadratic Equations: Completing the Square Answers

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–27 + = 4(x2 – 6x + 9)

± = x – 3

1/4

3/2

3/4

9/4

The two solutions are .

–1

–1/2

1/2

Mica is solving for the zeros of a quadratic function by completing the square. Her work is shown. What error did Mica make?

Mica should have set each x = 0 instead of f(x).

Mica should have added 2 to 3 instead of 1.

Mica should have multiplied both sides by 2 instead of dividing.

Mica should have subtracted 1 from both sides instead of adding.

The two solutions are .

– 2

– 1/2

1/4

Which are steps in the process of completing the square used to solve the equation?

1 = 2(x2 + 2x)

1 = 2x2 + 4x

2 = 2(x2 + 2x + 1)

3 = 2(x + 1)2

2 = 2(x + 1)2

= x

11/4 and 13/4

3/2 and 9/2

3 and 4

3/4 and 21/4

The two solutions are .

1/2

1/4

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