Explanation Given: The provided equation 7 x ( x − 2 ) = 3 − 2 ( x + 4 ) . Formula used: Shreedharacharaya formula x = − b ± b 2 − 4 a c 2 a . Calculation: Considering 7 x ( x − 2 ) = 3 − 2 ( x + 4 ) . Distributing 7 over x − 2 and − 2 over x + 4 , gives us: 7 x 2 − 14 x = 3 − 2 x − 8 7 x 2 − 14 x = − 2 x − 5 Adding 5 + 2 x on both sides, gives us: 7 x 2 − 14 x + 5 + 2 x = − 2 x − 5 + 5 + 2 x 7 x 2 − 12 x + 5 = 0 Comparing 7 x 2 − 12 x + 5 = 0 with the standard quadratic equation a x 2 + b x + c = 0 gives us, a = 7 , b = − 12 and c = 5 . Using the quadratic formula x = − b ± b 2 − 4 a c 2 a to find out the roots of the provided equation

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Author: Blitzer

Publisher: VST

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Chapter 8.2, Problem 48ES

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To calculate: The solution of the equation 7x(x−2)=3−2(x+4).

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Chapter 8.2, Problem 47ES

Chapter 8.2, Problem 49ES

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Chapter 8 Solutions

EBK INTERMEDIATE ALGEBRA FOR COLLEGE ST

Ch. 8.1 - Check Point 1 Solve: . Ch. 8.1 - Prob. 2CP Ch. 8.1 - Prob. 3CP Ch. 8.1 - Prob. 4CP Ch. 8.1 - Prob. 5CP Ch. 8.1 - Prob. 6CP Ch. 8.1 - Prob. 7CP Ch. 8.1 - Prob. 8CP Ch. 8.1 - Prob. 9CP Ch. 8.1 - Prob. 10CP

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The solution of the equation 7 x ( x − 2 ) = 3 − 2 ( x + 4 ) .

Solution Summary: The author calculates the solution set of the equation 7x(x-2)=3-2 left, using Shreedharacharaya's formula.

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To calculate: The solution of the equation 7x(x−2)=3−2(x+4).

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Chapter 8 Solutions