What is the answer to 1+3/(x-6)= 3/(x^2-11x+30) ?

The answer to 1+3/(x-6)= 3/(x^2-11x+30) is x=2

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1+3/(x-6)= 3/(x^2-11x+30)

1 + \frac{3}{x - 6} = \frac{3}{x ^{2} - 11 x + 30}

x = 2

Solution steps

1 + \frac{3}{x - 6} = \frac{3}{x ^{2} - 11 x + 30}

Multiply by LCM

(x - 6) (x - 5) + 3 (x - 5) = 3

Solve

(x - 6) (x - 5) + 3 (x - 5) = 3 : x = 6, x = 2

x = 6, x = 2

Verify Solutions

Find undefined (singularity) points:

x = 6, x = 5

Since the equation is undefined for:

6

x = 2

x + \frac{256}{x ^{2}} = 0

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

\frac{5}{2 x} = 3 - \frac{2}{x}

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

x^{2} + \frac{x ^{2}}{( x + 1 ) ^{2}} = 3

What is the answer to 1+3/(x-6)= 3/(x^2-11x+30) ?
The answer to 1+3/(x-6)= 3/(x^2-11x+30) is x=2
Solve for x: 1+3/(x-6)= 3/(x^2-11x+30)
The solution is x=2