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16. Solve the Equation. (3x+1)/(x-2)+(4)/(x)=(-8)/(x^2)-2x Select the Correct Choice Below And, If Necessary, Fill in the Answer Box to

Question

16. Solve the equation. (3x+1)/(x-2)+(4)/(x)=(-8)/(x^2)-2x Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is square D. (Use a comma to se separate answers as needed. Type an integer or a simplified fraction.) B. The solution is the empty set.

Solution

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4.5 (316 Votos)
Alana Profissional · Tutor por 6 anos

Resposta

To solve the equation, we need to find the value of x that satisfies the equation.Given equation: Step 1: Find a common denominator for the fractions on the left side of the equation.The common denominator is .Step 2: Rewrite the equation with the common denominator. Step 3: Combine the fractions on the left side of the equation. Step 4: Cross-multiply to eliminate the fractions. Step 5: Solve the resulting polynomial equation.This equation is difficult to solve by hand, so we can use a numerical method or graphing calculator to approximate the solution.Using a numerical method or graphing calculator, we find that the solution to the equation is approximately .Therefore, the correct choice is A. The solution set is .