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Popular >

((x-1))/((x+1))+((x+1))/((x-1))= 5/2

Solution

\frac{( x - 1 )}{( x + 1 )} + \frac{( x + 1 )}{( x - 1 )} = \frac{5}{2}

Solution

x = 3, x = - 3

Solution steps

\frac{( x - 1 )}{( x + 1 )} + \frac{( x + 1 )}{( x - 1 )} = \frac{5}{2}

Multiply by LCM

2 (x - 1)^{2} + 2 (x + 1)^{2} = 5 (x + 1) (x - 1)

Solve

2 (x - 1)^{2} + 2 (x + 1)^{2} = 5 (x + 1) (x - 1) : x = 3, x = - 3

x = 3, x = - 3

Verify Solutions

Find undefined (singularity) points:

x = - 1, x = 1

Combine undefined points with solutions:

x = 3, x = - 3

Popular Examples

((x-5))/((x+3)-1)=((5x-2))/((9-x^2))

\frac{( x - 5 )}{( x + 3 ) - 1} = \frac{( 5 x - 2 )}{( 9 - x ^{2} )}

solvefor x, 3/x+3/y =6 solve for

x, \frac{3}{x} + \frac{3}{y} = 6

l*n=(12*14)/(h*0)

l \cdot n = \frac{12 \cdot 14}{h \cdot 0}

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

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

9/2 =(30)/((15-x))+(30)/((15+x))

\frac{9}{2} = \frac{30}{( 15 - x )} + \frac{30}{( 15 + x )}

Frequently Asked Questions (FAQ)

What is the answer to ((x-1))/((x+1))+((x+1))/((x-1))= 5/2 ?
The answer to ((x-1))/((x+1))+((x+1))/((x-1))= 5/2 is x=3,x=-3
Solve for x: ((x-1))/((x+1))+((x+1))/((x-1))= 5/2
The solution is x=3,x=-3