Algebra 2 (1st Edition)

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

Chapter 4 Quadratic Functions and Factoring - 4.7 Complete the Square - 4.7 Exercises - Skill Practice - Page 288: 37



Work Step by Step

The area of a triangle is half the product of a base and its corresponding height. Hence here: $0.5 x(x+4)=40\\x(x+4)=80\\x^2+4x-80=0\\(x+2)^2-2^2-80=0\\(x+2)^2=84\\x+2=\pm\sqrt{80}\\x=-2\pm\sqrt{80}$ But we know that $x$ is non-negative, thus $x=-2+\sqrt{80}$
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