# Solving Quadratic Equations by Stated Methods

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Solve the given quadratic equations by the method stated.

[See the attached Questions File.]

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#### Solution Preview

The solution file is attached.

Project 8

Quadratic Equations

1. Solve by factoring:

x2 - 13x = -12

x^2 - 13x + 12 = 0

x^2 - x - 12x + 12 = 0

x(x - 1) - 12(x - 1) = 0

(x - 1)(x - 12) = 0

x = {1, 12}

2. Solve using the square root property:

2x2 - 35 = 15

2x^2 = 15 + 35 = 50

x^2 = 25

x = Ã–25 = {-5, 5}

3. Solve using the square root property:

(x + 6)2 = 4

x + 6 = Ã–4 = Â± 2

x = -6 Â± 2

x = {-8, -4}

4. Solve by completing the square:

x2 + 6x + 1 = ...

#### Solution Summary

The quadratic equations have been solved by the method stated in each cases (There are 8 equations). Clear and step-by-step solutions.

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