Solve 1/(x + 1)+2/(x - 1)=4/(x^2 - 1)

Question

Solve the equation

x \in \emptyset

Alternative Form

No solution

Evaluate

\frac{1}{x + 1} + \frac{2}{x - 1} = \frac{4}{x ^{2} - 1}

Find the domain

More Steps

\frac{1}{x + 1} + \frac{2}{x - 1} = \frac{4}{x ^{2} - 1}, x \in (- \infty, - 1) \cup (- 1, 1) \cup (1, + \infty)

Multiply both sides of the equation by LCD

(\frac{1}{x + 1} + \frac{2}{x - 1}) (x + 1) (x - 1) = \frac{4}{x ^{2} - 1} \times (x + 1) (x - 1)

Simplify the equation

More Steps

3 x + 1 = \frac{4}{x ^{2} - 1} \times (x + 1) (x - 1)

Simplify the equation

3 x + 1 = 4

Move the constant to the right side

3 x = 4 - 1

Subtract the numbers

3 x = 3

Divide both sides

\frac{3 x}{3} = \frac{3}{3}

Divide the numbers

x = \frac{3}{3}

Divide the numbers

More Steps

x = 1

Check if the solution is in the defined range

x = 1, x \in (- \infty, - 1) \cup (- 1, 1) \cup (1, + \infty)

Solution

x \in \emptyset

Alternative Form

No solution

Show Solution