Explanation Formula used: Quadratic formula: The solution of a quadratic equation of the form a x 2 + b x + c = 0 is given by the formula x = − b ± b 2 − 4 a c 2 a . Calculation: The given equation is 3 x + 3 x + 4 = 4 . Take square on both sides and simplify as follows. ( 3 x + 3 x + 4 ) 2 = ( 4 ) 2 3 x + 3 x + 4 = 16 3 x − 16 = − 3 x + 4 Take square on both sides and simplify as follows. ( 3 x − 16 ) 2 = ( − 3 x + 4 ) 2 9 x 2 − 96 x + 256 = ( 3 x + 4 ) 9 x 2 − 99 x + 252 = 0 Obtain the solution of the above quadratic equation as follows. x = − ( − 99 ) ± ( − 99 ) 2 − 4 ( 9 ) ( 252 ) 2 ( 9 ) = 99 ± 729 18 = 99 ± 27 18 x = 126 18 or x = 72 18 x = 7 or x = 4 Therefore, the solution of equation is x = 7 or x = 4

Student Solutions Manual For Basic Technical Mathematics And Basic Technical Mathematics With Calculus

11th Edition

ISBN: 9780134434636

Author: Allyn J. Washington, Richard Evans

Publisher: PEARSON

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Chapter 14.4, Problem 34E

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To solve: The equation 3x+3x+4=4.

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Chapter 14.4, Problem 33E

Chapter 14.4, Problem 35E

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Chapter 14 Solutions

Student Solutions Manual For Basic Technical Mathematics And Basic Technical Mathematics With Calculus

Ch. 14.1 - In Example 7, determine how many times the rocket...Ch. 14.1 - Prob. 1E Ch. 14.1 - Prob. 2E Ch. 14.1 - Prob. 3E Ch. 14.1 - Prob. 4E Ch. 14.1 - Prob. 5E Ch. 14.1 - Prob. 6E Ch. 14.1 - Prob. 7E Ch. 14.1 - Prob. 8E Ch. 14.1 - Prob. 9E

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The equation 3 x + 3 x + 4 = 4 .

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Chapter 14 Solutions