What is the answer to (x^2-25)/(x+5)=x^2-17 ?

The answer to (x^2-25)/(x+5)=x^2-17 is x=4,x=-3

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(x^2-25)/(x+5)=x^2-17

\frac{x ^{2} - 25}{x + 5} = x^{2} - 17

x = 4, x = - 3

Solution steps

\frac{x ^{2} - 25}{x + 5} = x^{2} - 17

Simplify

\frac{x ^{2} - 25}{x + 5} : x - 5

x - 5 = x^{2} - 17

Solve

x - 5 = x^{2} - 17 : x = 4, x = - 3

x = 4, x = - 3

Verify Solutions

Find undefined (singularity) points:

x = - 5

Combine undefined points with solutions:

x = 4, x = - 3

\frac{5}{x} = 15

\frac{9}{x} = - \frac{3}{5}

x, y = \frac{x - 2}{x + 2}

\frac{t + 5}{t - 5} = 10

\frac{28}{x} = \frac{50}{26}

What is the answer to (x^2-25)/(x+5)=x^2-17 ?
The answer to (x^2-25)/(x+5)=x^2-17 is x=4,x=-3
Solve for x: (x^2-25)/(x+5)=x^2-17
The solution is x=4,x=-3