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Popular >

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

Solution

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

Solution

x = 0

Solution steps

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

Multiply by LCM

(x + 2) (- x + 2) (x - 2) - (- x + 2) (x - 2) - (x + 2) (x - 2) = - 2 x (x - 2)

Solve

(x + 2) (- x + 2) (x - 2) - (- x + 2) (x - 2) - (x + 2) (x - 2) = - 2 x (x - 2) : x = 0, x = 2

x = 0, x = 2

Verify Solutions

Find undefined (singularity) points:

x = - 2, x = 2

Since the equation is undefined for:

2

x = 0

Popular Examples

x/((x+1))+2=((2x-3))/x+3/((x(x+1)))

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

((x-b))/((x-a))+((x-a))/((b-a))=1

\frac{( x - b )}{( x - a )} + \frac{( x - a )}{( b - a )} = 1

\frac{4 x + 1}{3 x} = 8

(8x^3)/(2*x^{-5)}=4x^8

\frac{8 x ^{3}}{2 \cdot x ^{- 5}} = 4 x^{8}

((25)}{1.5}=\frac{50)/a

\frac{( 25 )}{1.5} = \frac{50}{a}

Frequently Asked Questions (FAQ)

What is the answer to 1-1/((x+2))-1/((2-x))=((2x))/((x^2-4)) ?
The answer to 1-1/((x+2))-1/((2-x))=((2x))/((x^2-4)) is x=0
Solve for x: 1-1/((x+2))-1/((2-x))=((2x))/((x^2-4))
The solution is x=0