Explanation Procedure used: Solving radical equations: 1. Isolate a single radical on one side of the equation. 2. Square both sides of the equation. (Or raise both sides to a power that is equal to the index of the radical.). 3. If a radica1 remains, repeat steps 1 and 2. 4. Solve the resulting equation. 5. All solutions must be checked in the original equation, and only those that satisfy the original equation are actual solutions. Calculation: By using the above procedure, the given equation can be solved as follows. 3 x 2 + 4 = 2 x [ ∵ Isolating the radical ] ( 3 x 2 + 4 ) 2 = ( 2 x ) 2 [ ∵ Squaring on both sides ] 3 x 2 + 4 = 4 x 2 3 x 2 − 4 x 2 = − 4 On further simplification, − x 2 = − 4 x 2 = 4 x = 4 x = ± 2 Therefore, the values of x are x = 2 and x = − 2 . Now check whether the solution of the given equation is x = 2 or x = − 2 by substitution method. Substitute x = 2 in 3 x 2 + 4 = 2 x

College Algebra in Context with Applications for the Managerial, Life, and Social Sciences (5th Edition)

5th Edition

ISBN: 9780134179025

Author: Ronald J. Harshbarger, Lisa S. Yocco

Publisher: PEARSON

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Chapter 4.4, Problem 2E

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To solve: The equation 3x2+4−2x=0 algebraically and check the solution graphically or by substitution.

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Chapter 4.4, Problem 1E

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(b) In various places in this module, data on the silver content of coins minted in the reign of the twelfth-century Byzantine king Manuel I Comnenus have been considered. The full dataset is in the Minitab file coins.mwx. The dataset includes, among others, the values of the silver content of nine coins from the first coinage (variable Coin1) and seven from the fourth coinage (variable Coin4) which was produced a number of years later. (For the purposes of this question, you can ignore the variables Coin2 and Coin3.) In particular, in Activity 8 and Exercise 2 of Computer Book B, it was argued that the silver contents in both the first and the fourth coinages can be assumed to be normally distributed. The question of interest is whether there were differences in the silver content of coins minted early and late in Manuel’s reign. You are about to investigate this question using a two-sample t-interval. (i) Using Minitab, find either the sample standard deviations of the two variables…

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College Algebra in Context with Applications for the Managerial, Life, and Social Sciences (5th Edition)

Ch. 4.1 - In Exercises 116, (a) sketch the graph of each...Ch. 4.1 - In Exercises 116, (a) sketch the graph of each...Ch. 4.1 - Prob. 3E Ch. 4.1 - Prob. 4E Ch. 4.1 - Prob. 5E Ch. 4.1 - In Exercises 116, (a) sketch the graph of each...Ch. 4.1 - Prob. 7E Ch. 4.1 - Prob. 8E Ch. 4.1 - Prob. 9E Ch. 4.1 - Prob. 10E

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The equation 3 x 2 + 4 − 2 x = 0 algebraically and check the solution graphically or by substitution.

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