Explanation Definition used: General quadratic equation : “Given that a , b , and c are constant ( a ≠ 0 ) , the equation a x 2 + b x + c = 0 is called the general quadratic equation in x ”. Calculation: Consider the equation ( x − 1 ) − x − 1 = 20 . In order to find the value of x , first rewrite the equation in quadratic form. Substitute y = x − 1 in ( x − 1 ) − x − 1 = 20 and simplify the equation as follows. y 2 − y − 20 = 0 y 2 − 5 y + 4 y − 20 = 0 y ( y − 5 ) + 4 ( y − 5 ) = 0 ( y − 5 ) ( y + 4 ) = 0 On further simplification, y − 5 = 0 or y + 4 = 0 y = 5 or y = − 4 x − 1 = 5 or x − 1 = − 4 [ ∵ y = x − 1 ] ( x − 1 ) 2 = 5 2 or ( x −

Mylab Math With Pearson Etext -- 18 Week Standalone Access Card -- For Basic Technical Mathematics With Calculus

11th Edition

ISBN: 9780135902912

Author: Allyn J. Washington

Publisher: PEARSON

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Chapter 14.3, Problem 17E

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To solve: The equation (x−1)−x−1=20 algebraically.

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Chapter 14.3, Problem 16E

Chapter 14.3, Problem 18E

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Mylab Math With Pearson Etext -- 18 Week Standalone Access Card -- For 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 ( x − 1 ) − x − 1 = 20 algebraically.

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Chapter 14 Solutions