What is the answer to x^2-5x-2-(24)/(x^2-5x)=0 ?

The answer to x^2-5x-2-(24)/(x^2-5x)=0 is x=-1,x=1,x=4,x=6

Solve for x: x^2-5x-2-(24)/(x^2-5x)=0

The solution is x=-1,x=1,x=4,x=6

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x^{2} - 5 x - 2 - \frac{24}{x ^{2} - 5 x} = 0

x = - 1, x = 1, x = 4, x = 6

Solution steps

x^{2} - 5 x - 2 - \frac{24}{x ^{2} - 5 x} = 0

Multiply both sides by

x^{2} - 5 x

x^{2} (x^{2} - 5 x) - 5 x (x^{2} - 5 x) - 2 (x^{2} - 5 x) - 24 = 0

Solve

x^{2} (x^{2} - 5 x) - 5 x (x^{2} - 5 x) - 2 (x^{2} - 5 x) - 24 = 0 : x = - 1, x = 1, x = 4, x = 6

x = - 1, x = 1, x = 4, x = 6

Verify Solutions

Find undefined (singularity) points:

x = 5, x = 0

Combine undefined points with solutions:

x = - 1, x = 1, x = 4, x = 6

\frac{9 x}{x + 9} + 1 = - \frac{1}{x + 9}

\frac{2}{y + 4} - \frac{1}{y - 3} = 0

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

\frac{1}{x - 3} = 1 - \frac{2 x - 7}{x - 3}

\frac{9}{x + 1} - \frac{5}{2} = \frac{4}{3 x + 3}

What is the answer to x^2-5x-2-(24)/(x^2-5x)=0 ?
The answer to x^2-5x-2-(24)/(x^2-5x)=0 is x=-1,x=1,x=4,x=6
Solve for x: x^2-5x-2-(24)/(x^2-5x)=0
The solution is x=-1,x=1,x=4,x=6