What is the answer to ((x-2))/((x+2))+((x+2))/((x-2))=4 ?

The answer to ((x-2))/((x+2))+((x+2))/((x-2))=4 is x=2sqrt(3),x=-2sqrt(3)

Solve for x: ((x-2))/((x+2))+((x+2))/((x-2))=4

The solution is x=2sqrt(3),x=-2sqrt(3)

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

x = 23, x = - 23

Decimal Notation

x = 3.46410 \dots, x = - 3.46410 \dots

Solution steps

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

Multiply by LCM

(x - 2)^{2} + (x + 2)^{2} = 4 (x + 2) (x - 2)

Solve

(x - 2)^{2} + (x + 2)^{2} = 4 (x + 2) (x - 2) : x = 23, x = - 23

x = 23, x = - 23

Verify Solutions

Find undefined (singularity) points:

x = - 2, x = 2

Combine undefined points with solutions:

x = 23, x = - 23

\frac{9.99 - 0.99}{( 99 y - 9.9 )} = 9.09

\frac{x ^{2} + 16 x ^{2}}{( x - 4 ) ^{2}} = 180

\frac{( 6 - x )}{( x ^{2} - 4 )} = \frac{2 + x}{( x + 2 )}

\frac{( ( 2 x - 3 ) ( x - 1 ) - ( 2 x ^{2} + x + 1 ) )}{( 2 - x )} = \frac{7}{2}

\frac{1}{x} = \frac{1}{4} + \frac{1}{6}

What is the answer to ((x-2))/((x+2))+((x+2))/((x-2))=4 ?
The answer to ((x-2))/((x+2))+((x+2))/((x-2))=4 is x=2sqrt(3),x=-2sqrt(3)
Solve for x: ((x-2))/((x+2))+((x+2))/((x-2))=4
The solution is x=2sqrt(3),x=-2sqrt(3)