(a) Explanation Procedure used: “ Procedure for solving a quadratic equation by factoring : 1. Collect all terms on the left and simplify to the form a x 2 + b x + c = 0 . 2. Factor the quadratic expression . 3. Set each factor equal to zero. 4. Solve the resulting linear equations. These solutions are the roots of the quadratic equation. 5. Ceck the solutions in the original equation”. Calculation: The given equation is 6 x 2 − x = 15 . The given equation can be factored as follows. 6 x 2 − x = 15 6 x 2 − x − 15 = 0 ( 3 x − 5 ) ( 2 x + 3 ) < (b) To determine To solve: The equation 6 x 2 − x = 15 by completing the square. (c) To determine To solve: The equation 6 x 2 − x = 15 by the quadratic formula.

11th Edition

ISBN: 9780134508290

Author: Evans

Publisher: PEARSON CUSTOM PUB.(CONSIGNMENT)

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Chapter 7.3, Problem 44E

(a)

To determine

To solve: The equation 6x2−x=15 by factoring.

(b)

To determine

To solve: The equation 6x2−x=15 by completing the square.

(c)

To determine

To solve: The equation 6x2−x=15 by the quadratic formula.

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Chapter 7.3, Problem 43E

Chapter 7.3, Problem 45E

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Chapter 7 Solutions

EBK BASIC TECHNICAL MATHEMATICS

Ch. 7.1 - Solve for x: x2 + 4x − 21 = 0 Ch. 7.1 - Prob. 2PE Ch. 7.1 - Prob. 1E Ch. 7.1 - Prob. 2E Ch. 7.1 - Prob. 3E Ch. 7.1 - Prob. 4E Ch. 7.1 - Prob. 5E Ch. 7.1 - Prob. 6E Ch. 7.1 - Prob. 7E Ch. 7.1 - Prob. 8E

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The equation 6 x 2 − x = 15 by factoring.

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To solve: The equation 6x2−x=15 by factoring.

To solve: The equation 6x2−x=15 by completing the square.

To solve: The equation 6x2−x=15 by the quadratic formula.

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Chapter 7 Solutions