The following rational equation has denominators that contain variables. For this equation, a. Write the value or values of the variable that make a denominator zero. These are the restrictions on the variable. b. Keeping the restrictions in mind, solve the equation. 2 3 X+4 X-4 + X= 24 (x+4)(x-4) ***** a. What is/are the value or values of the variable that make(s) the denominators zero? (Simplify your answer. Use a comma to separate answers as needed.) b. Solve the equation. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is {}. (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) B. The solution set is {x|x is a real number). C. The solution set is Ø.

Elementary Algebra
17th Edition
ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
Publisher:Lynn Marecek, MaryAnne Anthony-Smith
Chapter8: Rational Expressions And Equations
Section8.3: Add And Subtract Rational Expressions With A Common Denominator
Problem 165E: Sarah ran 8 miles and then biked 24 miles. Her biking speed is 4 mph faster than her running speed....
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The
following rational equation has denominators that contain variables. For this equation, a. Write the value or values
of the variable that make a denominator zero. These are the restrictions on the variable. b. Keeping the restrictions in
mind, solve the equation.
2
3
X+4
X-4
+
24
(x+4)(x-4)
******
a. What is/are the value or values of the variable that make(s) the denominators zero?
X =
(Simplify your answer. Use a comma to separate answers as needed.)
b. Solve the equation. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The solution set is {}.
(Type an integer or a simplified fraction. Use a comma to separate answers as needed.)
B. The solution set is {x|x is a real number).
C. The solution set is Ø.
Transcribed Image Text:The following rational equation has denominators that contain variables. For this equation, a. Write the value or values of the variable that make a denominator zero. These are the restrictions on the variable. b. Keeping the restrictions in mind, solve the equation. 2 3 X+4 X-4 + 24 (x+4)(x-4) ****** a. What is/are the value or values of the variable that make(s) the denominators zero? X = (Simplify your answer. Use a comma to separate answers as needed.) b. Solve the equation. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is {}. (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) B. The solution set is {x|x is a real number). C. The solution set is Ø.
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