Algebra 1

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

Chapter 9 - Quadratic Functions and Equations - Concept Byte - Finding Roots - Page 554: 3

Answer

Please see the graph. $x=-.786, -23.214$
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Work Step by Step

$1/3x^2+8x-3=0$ $x=(-b±\sqrt {b^2-4ac})/2a$ $x=(-8±\sqrt {8^2-4*1/3*(-3)})/2*1/3$ $x=(-8±\sqrt {64-4)}/2*1/3$ $x=(-8±\sqrt {60})/\frac{2}{3}$ $x=(-8±\sqrt {60})/\frac{2}{3}$ $x=3*(-8±7.476)/2$ $x=3*(-8±7.476)/2$ $x=3*(-.524)/2$ $x=-1.572/2$ $x=-.786$ $x=3*(-8-7.476)/2$ $x=3*(-15.476)/2$ $x=-46.428/2$ $x=-23.214$
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