Algebra 1: Common Core (15th Edition)

Published by Prentice Hall

Chapter 9 - Quadratic Functions and Equations - 9-6 The Quadratic Formula and the Discriminant - Practice and Problem-Solving Exercises - Page 587: 21

Answer

$$x=0.590667290886255,-2.25733395755292$$

Work Step by Step

$$\text{The quadratic formula is given by:}$$ $$x = \frac{-b \pm \sqrt{b^2-4ac}}{2a}$$ $$\text{Plugging in the given values:}$$ $$a=3, b=5, c=-4$$ $$x = \frac{-5 \pm \sqrt{5^2-4(3)(-4)}}{2(3)}$$ $$\text{Reducing within the radical gives: }$$ $$x = \frac{-5 \pm \sqrt{73}}{(2)3}$$ $$\text {This gives: }$$ $$x=0.590667290886255,-2.25733395755292$$

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