Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Appendix B - Exercise Set: 52

Answer

$x = +4$ or $x =+8$

Work Step by Step

$x^2 + 32 = 12x$ Step 1: is not needed because there is no fractions. $x^2 + 32 = 12x$ Step 2: is not needed. $x^2 + 32 = 12x$ Step 3: is not needed since no simplifying can be done on either side of the equation. $x^2 + 32 = 12x$ Step 4: The equation is quadratic. $x^2 + 32 = 12x$ Step 5: Rewrite the equation in standard form. $x^2 -12x+ 32 = 0$ Step 6: Factor. $(x -4)(x -8) = 0$ Step 7: Set each factor equal to 0. $x -4 = 0$ or $x -8 = 0$ Solve each equation. $x = +4$ or $x =+8$
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