Explanation Given Information: The equation 5 x 2 + 8 x − 3 = 0 Formula used: Solutions of quadratic equation in standard form f ( x ) = a x 2 + b x + c are given by the quadratic formula: x = − b ± b 2 − 4 a c 2 a . Calculation: Comparing 5 x 2 + 8 x − 3 = 0 with a x 2 + b x + c = 0 a = 5 , b = 8 , and c = − 3 . Substitute the values in the quadratic formula and simplify: ⇒ x = − ( 8 ) ± ( 8 ) 2 − 4 ( 5 ) ( − 3 ) 2 ( 5 ) ⇒ x = − 8 ± 64 + 60 10 ⇒ x =

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Author: Michael Sullivan

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Chapter 3.4, Problem 30AYU

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Chapter 3.4, Problem 29AYU

Chapter 3.4, Problem 31AYU

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The solution of the equation 5 x 2 + 8 x − 3 = 0

Solution Summary: The author compares the solutions of the equation 5x2+8x-3=0 with the values in the quadratic formula.

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