Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 4 Quadratic Functions and Factoring - 4.4 Solve ax(squared) + bx + c = 0 by Factoring - 4.4 Exercises - Skill Practice - Page 264: 51

Answer

3

Work Step by Step

Using the equation for the area of a square and factoring: $$30=(x)(3x+1) \\ 30=3x^2 +x \\ 0 = 3x^2 +x -30 \\0=( 3x+10)(x−3)\\x=3$$ **Note, we only consider the positive solution since length cannot be negative.
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