Big Ideas Math - Algebra 1, A Common Core Curriculum

Published by Big Ideas Learning LLC
ISBN 10: 978-1-60840-838-2
ISBN 13: 978-1-60840-838-2

Chapter 10 - Radical Functions and Equations - Chapter Test - Page 579: 10

Answer

$x=3$

Work Step by Step

Solve for $x$: $$\sqrt {8x-21}=\sqrt{18-5x}$$ $$ {8x-21}={18-5x}$$ $$ {8x+5x}={18+21}$$ $$ 13x=39$$ $$x=3$$ Check the solution: $$\sqrt {8(3)-21}\stackrel{?}{=}\sqrt{18-5(3)}$$ $$\sqrt {3}=\sqrt{3}\checkmark$$
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