College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 1 - Equations and Inequalities - Exercise Set 1.5 - Page 161: 81


Discriminant = 37; 2 unequal real solutions that are irrational

Work Step by Step

$x^2-3x-7=0$ Plug the coefficients into the discriminant of the quadratic formula. $a=1, b=-3, c=-7$ $\sqrt {b^2-4ac}$ $\sqrt {(-3)^2-4(1)(-7)}$ $\sqrt {9+28}$ $\sqrt {37}$ Since the discriminant is greater than $0$, the equation has two unequal real solutions that are irrational.
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