Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 8 - Section 8.2 - Solving Quadratic Equations by the Quadratic Formula - Exercise Set - Page 493: 56

Answer

$$ l = 10+ \sqrt{52}, w= -10+ \sqrt{52}$$

Work Step by Step

We know: $$ x(x+20)=1200$$ $$x^2+20x-1200=0$$ We solve: $$ \frac{-b \pm \sqrt{b^2-4ac}}{2a}$$ We find: $$ \frac{-20 \pm \sqrt{20^2-4(1)(-1200)}}{2(1)}$$ This gives: $$ l = 10+ \sqrt{52}, w= -10+ \sqrt{52}$$
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