Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 9 - Quadratic Functions and Equations - 9-3 Solving Quadratic Equations - Practice and Problem-Solving Exercises - Page 552: 43

Answer

No solution.

Work Step by Step

1.2$z^{2}$ - 7 = -34 Add 7 to both sides. 1.2$z^{2}$ - 7 + 7 = -34 + 7 1.2$z^{2}$ = -27 Divide both sides by 1.2: 1.2$z^{2}$ = -27 $\frac{1.2z^{2}}{1.2}$ = $\frac{-27}{1.2}$ $z^{2}$ = -22.5 Normally, we would now take the square root of $z^{2}$ and -22.5. We cannot take the square root of a negative number, however, so there is no solution to this equation.
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