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

The answer to (x^2-4)/(x-2)=2 is x=0

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

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

x = 0

Solution steps

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

Simplify

\frac{x ^{2} - 4}{x - 2} : x + 2

x + 2 = 2

Subtract

2

from both sides

x + 2 - 2 = 2 - 2

Simplify

x = 0

Verify Solutions

Find undefined (singularity) points:

x = 2

Combine undefined points with solutions:

x = 0

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

\frac{2 - x}{x ^{2} - 4} + \frac{1}{x} = 0

\frac{1}{( x - 2 ) ^{2}} - \frac{1}{x - 2} - 6 = 0

2 - \frac{200}{x ^{2}} = 0

\frac{1}{x - 5} + 5 = \frac{5}{x ^{2} - 5 x}