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

The answer to 1-2/((x-1)^2)=0 is x=sqrt(2)+1,x=-sqrt(2)+1

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

The solution is x=sqrt(2)+1,x=-sqrt(2)+1

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

x = 2 + 1, x = - 2 + 1

Decimal Notation

x = 2.41421 \dots, x = - 0.41421 \dots

Solution steps

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

Multiply both sides by

(x - 1)^{2}

(x - 1)^{2} - 2 = 0

Solve

(x - 1)^{2} - 2 = 0 : x = 2 + 1, x = - 2 + 1

x = 2 + 1, x = - 2 + 1

Verify Solutions

Find undefined (singularity) points:

x = 1

Combine undefined points with solutions:

x = 2 + 1, x = - 2 + 1

\frac{18}{x ^{3}} = 0

\frac{x ^{2} - 19 x + 84}{x ^{2} - 16 x + 48} = 0

\frac{14}{15} = \frac{26}{x}

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

\frac{0.4}{w} = \frac{3}{0.75}

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