Algebra 2 (1st Edition)

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

Chapter 6 Rational Exponents and Radical Functions - Standardized Test Practice - Short Response - Page 473: 17

Answer

No solution

Work Step by Step

Obtain: $\sqrt x-1+1=-\sqrt x+4\\(\sqrt x-1+1)^2=(-\sqrt x+4)^2\\x+4=x-1+2\sqrt x-1+1\\2\sqrt x-1=4\\\sqrt x-1=2\\x-1=4\\x=5$ Graph two equations. We can see that both graphs do not intersect; thus there is actually no real solution for this.
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