Algebra: A Combined Approach (4th Edition)

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

Appendix B - Exercise Set: 41

Answer

$t = +0.75$ or $t =-0.5$

Work Step by Step

$\frac{4t^2}{5} = \frac{t}{5} + \frac{3}{10}$ Step 1: Clear the equation from fractions. $10(\frac{4t^2}{5}) = 10(\frac{t}{5} + \frac{3}{10})$ Step 2: Use the distribute property. $8t^2 = 2t + 3$ Step 3: is not needed since no simplifying can be done on either side of the equation. $8t^2 = 2t + 3$ Step 4: The equation is quadratic. $8t^2 = 2t + 3$ Step 5: Rewrite the equation in standard form. $8t^2 -2t-3 = 0$ Step 6: Factor. $(4t -3)(2t +1) = 0$ Step 7: Set each factor equal to 0. $4t -3 = 0$ or $2t +1 = 0$ Solve each equation. $4t = +3$ or $2t =-1$ $t = +0.75$ or $t =-0.5$
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