Answer
$a=4,b=6$
Work Step by Step
According to the exercise : let $a=2x,b=3x$, then $a^2+b^2=(2x)^2+(3x)^2=52\\13x^2=52\\x^2=4\\x=2$, thus $a=4,b=6$
College Algebra (10th Edition)
by Sullivan, Michael
Published by
Pearson
ISBN 10:
0321979478
ISBN 13:
978-0-32197-947-6
Chapter 8 - Section 8.6 - Systems of Nonlinear Equations - 8.6 Assess Your Understanding - Page 616: 80
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