Explanation Given: The rational function: 2 − 5 x + 2 x 2 = 0 Calculation: ( a ) To solve the given rational function, first we multiply both sides by the least common denominator of x and x 2 , that is x 2 . And then simplify further for x , to get 2 − 5 x + 2 x 2 = 0 2 x 2 − 5 x 2 x + 2 x 2 x 2 = 0 ⋅ x 2 multiply both sides by LCD x 2 2 x 2 − 5 x + 2 = 0 simplify ( x − 2 ) ( 2 x − 1 ) = 0 factor quadratic equation x − 2 = 0 and 2 x − 1 = 0 zero product property x = 2 and x = 1 2 So the solutions to the given rational function 2 − 5 x + 2 x 2 = 0 are 1 2 , 2 ...

College Algebra with Modeling & Visualization (5th Edition)

5th Edition

ISBN: 9780321826138

Author: Gary K. Rockswold

Publisher: PEARSON

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Chapter 4.7, Problem 3E

To determine

The solutions of the rational function $2 - \frac{5}{x} + \frac{2}{x^{2}} = 0$ :

$(a)$ Symbolically,

$(b)$ Graphically, and

$(c)$ Numerically

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Chapter 4.7, Problem 2E

Chapter 4.7, Problem 4E

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Chapter 4 Solutions

College Algebra with Modeling & Visualization (5th Edition)

Ch. 4.1 - Prob. 1E Ch. 4.1 - Prob. 2E Ch. 4.1 - Prob. 3E Ch. 4.1 - Prob. 4E Ch. 4.1 - Prob. 5E Ch. 4.1 - Prob. 6E 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 solutions of the rational function 2 − 5 x + 2 x 2 = 0 : ( a ) Symbolically, ( b ) Graphically, and ( c ) Numerically

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The solutions of the rational function 2−5x+2x2=0 : (a) Symbolically, (b) Graphically, and (c) Numerically

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Chapter 4 Solutions

The solutions of the rational function $2 - \frac{5}{x} + \frac{2}{x^{2}} = 0$ :

$(a)$ Symbolically,

$(b)$ Graphically, and

$(c)$ Numerically