What is the answer to 1/((x-1)^2)+3/(x-1)-10=0 ?

The answer to 1/((x-1)^2)+3/(x-1)-10=0 is x= 4/5 ,x= 3/2

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1/((x-1)^2)+3/(x-1)-10=0

\frac{1}{( x - 1 ) ^{2}} + \frac{3}{x - 1} - 10 = 0

x = \frac{4}{5}, x = \frac{3}{2}

Decimal Notation

x = 0.8, x = 1.5

Solution steps

\frac{1}{( x - 1 ) ^{2}} + \frac{3}{x - 1} - 10 = 0

Multiply by LCM

1 + 3 (x - 1) - 10 (x - 1)^{2} = 0

Solve

1 + 3 (x - 1) - 10 (x - 1)^{2} = 0 : x = \frac{4}{5}, x = \frac{3}{2}

x = \frac{4}{5}, x = \frac{3}{2}

Verify Solutions

Find undefined (singularity) points:

x = 1

Combine undefined points with solutions:

x = \frac{4}{5}, x = \frac{3}{2}

0.1 = \frac{1}{\frac{1}{2} t + 1}

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

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

2 x = \frac{2}{x}

t - \frac{4}{t} = 3

What is the answer to 1/((x-1)^2)+3/(x-1)-10=0 ?
The answer to 1/((x-1)^2)+3/(x-1)-10=0 is x= 4/5 ,x= 3/2
Solve for x: 1/((x-1)^2)+3/(x-1)-10=0
The solution is x= 4/5 ,x= 3/2