What is the answer to 1/((x-2)^2)-(12)/(x-2)+35=0 ?

The answer to 1/((x-2)^2)-(12)/(x-2)+35=0 is x= 11/5 ,x= 15/7

Solve for x: 1/((x-2)^2)-(12)/(x-2)+35=0

The solution is x= 11/5 ,x= 15/7

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\frac{1}{( x - 2 ) ^{2}} - \frac{12}{x - 2} + 35 = 0

x = \frac{11}{5}, x = \frac{15}{7}

Decimal Notation

x = 2.2, x = 2.14285 \dots

Solution steps

\frac{1}{( x - 2 ) ^{2}} - \frac{12}{x - 2} + 35 = 0

Multiply by LCM

1 - 12 (x - 2) + 35 (x - 2)^{2} = 0

Solve

1 - 12 (x - 2) + 35 (x - 2)^{2} = 0 : x = \frac{11}{5}, x = \frac{15}{7}

x = \frac{11}{5}, x = \frac{15}{7}

Verify Solutions

Find undefined (singularity) points:

x = 2

Combine undefined points with solutions:

x = \frac{11}{5}, x = \frac{15}{7}

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

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

\frac{4 x + 3}{1 - 2 x} = \frac{3}{8}

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

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

What is the answer to 1/((x-2)^2)-(12)/(x-2)+35=0 ?
The answer to 1/((x-2)^2)-(12)/(x-2)+35=0 is x= 11/5 ,x= 15/7
Solve for x: 1/((x-2)^2)-(12)/(x-2)+35=0
The solution is x= 11/5 ,x= 15/7