What is the answer to (x^2)/(x+6)+x/(x^2-6)=2 ?

The answer to (x^2)/(x+6)+x/(x^2-6)=2 is x=-2,x=4,x=-3,x=3

Solve for x: (x^2)/(x+6)+x/(x^2-6)=2

The solution is x=-2,x=4,x=-3,x=3

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\frac{x ^{2}}{x + 6} + \frac{x}{x ^{2} - 6} = 2

x = - 2, x = 4, x = - 3, x = 3

Solution steps

\frac{x ^{2}}{x + 6} + \frac{x}{x ^{2} - 6} = 2

Multiply by LCM

x^{2} (x + 6) (x - 6) + x (x + 6) = 2 (x + 6) (x + 6) (x - 6)

Solve

x^{2} (x + 6) (x - 6) + x (x + 6) = 2 (x + 6) (x + 6) (x - 6) : x = - 2, x = 4, x = - 3, x = 3

x = - 2, x = 4, x = - 3, x = 3

Verify Solutions

Find undefined (singularity) points:

x = - 6, x = 6, x = - 6

Combine undefined points with solutions:

x = - 2, x = 4, x = - 3, x = 3

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

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

What is the answer to (x^2)/(x+6)+x/(x^2-6)=2 ?
The answer to (x^2)/(x+6)+x/(x^2-6)=2 is x=-2,x=4,x=-3,x=3
Solve for x: (x^2)/(x+6)+x/(x^2-6)=2
The solution is x=-2,x=4,x=-3,x=3