Answer
$12$ or $-8$
Work Step by Step
Let the number be $x$
The product of the number and 4 less than the number is 96.
$x(x-4)=96$
$x^{2}-4x=96$
$x^{2}-4x-96=0$
By factoring,
$(x-12)(x+8)=0$
$x=12$ or $x=-8$
The number is $12$ or $-8$
Intermediate Algebra (6th Edition)
by Martin-Gay, Elayn
Published by
Pearson
ISBN 10:
0321785045
ISBN 13:
978-0-32178-504-6
Chapter 8 - Section 8.3 - Solving Equations by Using Quadratic Methods - Exercise Set - Page 503: 67
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