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
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
.