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: 52



Work Step by Step

We know that the area of the triangle is half the product of the base and its according height. Hence here: $(5x-2)(2x)\cdot0.5=115\\5x^2-2x-115=0\\(5 x + 23) (x - 5)=0$ Thus $x=5$ or $x=-4.6$ but $x$ has to positive, thus $x=5$.
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