What is the answer to (x^2-2)/(x+4)=7 ?

The answer to (x^2-2)/(x+4)=7 is x=10,x=-3

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(x^2-2)/(x+4)=7

\frac{x ^{2} - 2}{x + 4} = 7

x = 10, x = - 3

Solution steps

\frac{x ^{2} - 2}{x + 4} = 7

Multiply both sides by

x + 4

x^{2} - 2 = 7 (x + 4)

Solve

x^{2} - 2 = 7 (x + 4) : x = 10, x = - 3

x = 10, x = - 3

Verify Solutions

Find undefined (singularity) points:

x = - 4

Combine undefined points with solutions:

x = 10, x = - 3

\frac{4 k - 6}{3 k - 9} = \frac{1}{3}

0.36 = \frac{x + 0.1 ( 500 )}{x + 500}

\frac{4}{x} = \frac{2}{3}

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

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

What is the answer to (x^2-2)/(x+4)=7 ?
The answer to (x^2-2)/(x+4)=7 is x=10,x=-3
Solve for x: (x^2-2)/(x+4)=7
The solution is x=10,x=-3