What is the answer to (x^2-5x+4)/(8-x)=5 ?

The answer to (x^2-5x+4)/(8-x)=5 is x=6,x=-6

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(x^2-5x+4)/(8-x)=5

\frac{x ^{2} - 5 x + 4}{8 - x} = 5

x = 6, x = - 6

Solution steps

\frac{x ^{2} - 5 x + 4}{8 - x} = 5

Multiply both sides by

8 - x

x^{2} - 5 x + 4 = 5 (8 - x)

Solve

x^{2} - 5 x + 4 = 5 (8 - x) : x = 6, x = - 6

x = 6, x = - 6

Verify Solutions

Find undefined (singularity) points:

x = 8

Combine undefined points with solutions:

x = 6, x = - 6

\frac{x ^{2} - 4}{x + 3} = - 12

9 x^{- 4} - 10 x^{- 2} + 1 = 0

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

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

\frac{3}{x ^{2} + 5 x} = \frac{1}{2}

What is the answer to (x^2-5x+4)/(8-x)=5 ?
The answer to (x^2-5x+4)/(8-x)=5 is x=6,x=-6
Solve for x: (x^2-5x+4)/(8-x)=5
The solution is x=6,x=-6