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Equations and inequalities

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Show your work step by step. Determine the constant that should be added to the binomial so that it becomes a perfect square trinomial. Write and factor the trinomial.

1. x^2 + 16x

2. x^2 + 5x

3. x^2 + 4 x
5

Show your work step by step. Solve each equation by completing the square.

1. x^2 + 6x = -8

2. x^2 - 2x - 5 = 0

3. x^2 + 7x - 8 = 0

4. 2x^2 + 5x - 3 = 0

5. 3x^2 - 5x - 10 = 0

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Equations and inequalities are examined.

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