4x/x + 1 = 6 - 4/x + 1 What are the values of the variable that makes the denomi

Question

4x/x + 1 = 6 - 4/x + 1 What are the values of the variable that makes the denominators zero? simplify your answer. Use a comma to separate answers as needed. ) 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. What are the value or values of the variable that makes the denominators zero? x =-1 (simply your answer, use a comma to separate answers as needed. ) solve the equation. select the correct choice below and, if necessary, fill in the answer box to complete your choice. the solution set is (simplify your answer. ) there is no solution.

Explanation / Answer

a) x = -1 b) multiply through by x+1 to get: 4x = 6(x+1) -4 Now solve: 4x = 6x + 6 - 4 -2x = 2 x = -1 Since the only possible solution is not allowed (see part a) the answer is: B. There is no solution.

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