What is the answer to (x-1)^{-2}=4 ?

The answer to (x-1)^{-2}=4 is x= 3/2 ,x= 1/2

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(x-1)^{-2}=4

(x - 1)^{- 2} = 4

x = \frac{3}{2}, x = \frac{1}{2}

Decimal Notation

x = 1.5, x = 0.5

Solution steps

(x - 1)^{- 2} = 4

Refine

\frac{1}{( x - 1 ) ^{2}} = 4

Multiply both sides by

(x - 1)^{2}

1 = 4 (x - 1)^{2}

Solve

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

x = \frac{3}{2}, x = \frac{1}{2}

Verify Solutions

Find undefined (singularity) points:

x = 1

Combine undefined points with solutions:

x = \frac{3}{2}, x = \frac{1}{2}

\frac{x}{100 - x} = 1 0^{8 - 7.4}

\frac{3}{9} = \frac{2}{v + 2}

\frac{2 π}{x} = 5

\frac{10}{4} = \frac{x - 8}{x + 9}

\frac{7 x + 12}{4 x + 3} = \frac{2}{5}

What is the answer to (x-1)^{-2}=4 ?
The answer to (x-1)^{-2}=4 is x= 3/2 ,x= 1/2
Solve for x: (x-1)^{-2}=4
The solution is x= 3/2 ,x= 1/2