Explanation Given Information: The given equation is 2 x 2 − x − 8 = 0 . Formula used: The quadratic equation in the form a x 2 + b x + c = 0 , the roots of the equation can be calculated by quadratic formula: x = − b ± b 2 − 4 a c 2 a , where the coefficient of x 2 is a , the coefficient of the term x is b, and the constant term is c . The equation x = − b ± b 2 − 4 a c 2 a can be factored as x = − b + b 2 − 4 a c 2 a , x = − b − b 2 − 4 a c 2 a . Calculation: Consider the give equation, In order to solve the equations using the quadratic formula, Now, find the values of a, b and c , Consider the coefficients of x 2 and x and the constant term, The coefficient of x 2 is 2 , hence the value of a is 2 . The coefficient of x is − 1 , hence the value of b is − 1 . The constant term is − 8 , hence the value of c is − 8 . So, the values are a = 2 , b = − 1 , c = − 8 Now, substitute the values of a, b and c in the quadratic formula, x = − b ± b 2 − 4 a c 2 a = − ( − 1 ) ± ( −

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ISBN: 9781337630580

Author: Dale Ewen

Publisher: Cengage Learning

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Chapter 14, Problem 16CR

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Chapter 14 Solutions

Elementary Technical Mathematics

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The solution of the equation 2 x 2 − x − 8 = 0 .

Solution Summary: The author calculates the solution of the equation 2x2-x-8=0 using the quadratic formula.

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