Make Sense? In Exercises 73–76, determine whether each statement "makes sense" or "does not make sense" and explain your reasoning. Mercury 73. When checking a radical equation's proposed solution, I can substitute into the original equation or any equation that is part of the solution process. 52 CHAPTER 7 Radicals, Radical Functions, and Rational Exponents 74. After squaring both sides of a radical equation, the only In Exercises 82–84, solve each equation. solution that I obtained was extraneous, so Ø must be the 82. VIVA = 9 solution set of the original equation. 75. When I raise both sides of an equation to any power, there's always the possibility of extraneous solutions. 83. VVĩ+ Vx + 9 = 3 84. (x – 4)f = 25 Review Exercises 76. Now that I know how to solve radical equations, I can use models that are radical functions to determine the value of the independent variable when a function value is known. 85. Divide using synthetic division: (4x* – 3x + 2x² - x - 1) + (x + 3).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 78RE
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Solve Q75

Make Sense? In Exercises 73–76, determine whether each
statement "makes sense" or "does not make sense" and explain
your reasoning.
Mercury
73. When checking a radical equation's proposed solution, I
can substitute into the original equation or any equation
that is part of the solution process.
52 CHAPTER 7 Radicals, Radical Functions, and Rational Exponents
74. After squaring both sides of a radical equation, the only In Exercises 82–84, solve each equation.
solution that I obtained was extraneous, so Ø must be the 82. VIVA = 9
solution set of the original equation.
75. When I raise both sides of an equation to any power,
there's always the possibility of extraneous solutions.
83. VVĩ+ Vx + 9 = 3
84. (x – 4)f = 25
Review Exercises
76. Now that I know how to solve radical equations, I can use
models that are radical functions to determine the value of
the independent variable when a function value is known.
85. Divide using synthetic division:
(4x* – 3x + 2x² - x - 1) + (x + 3).
Transcribed Image Text:Make Sense? In Exercises 73–76, determine whether each statement "makes sense" or "does not make sense" and explain your reasoning. Mercury 73. When checking a radical equation's proposed solution, I can substitute into the original equation or any equation that is part of the solution process. 52 CHAPTER 7 Radicals, Radical Functions, and Rational Exponents 74. After squaring both sides of a radical equation, the only In Exercises 82–84, solve each equation. solution that I obtained was extraneous, so Ø must be the 82. VIVA = 9 solution set of the original equation. 75. When I raise both sides of an equation to any power, there's always the possibility of extraneous solutions. 83. VVĩ+ Vx + 9 = 3 84. (x – 4)f = 25 Review Exercises 76. Now that I know how to solve radical equations, I can use models that are radical functions to determine the value of the independent variable when a function value is known. 85. Divide using synthetic division: (4x* – 3x + 2x² - x - 1) + (x + 3).
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