Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 13 - Conic Sections - 13.2 Conic Sections: Ellipses - 13.2 Exercise Set - Page 862: 42

Answer

No solution!

Work Step by Step

We have to solve $x^2+4x=60.$ Let's make the quadratic equation in its standard form as $ax^2+bx+c=0.$ $$x^2+4x-60=0.$$ Let's find the discriminant. $D=b^2-4ac.$ In our case $$D=16-4\cdot1\cdot60=16-240=-222 < 0.$$ There is no real solution!
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