What is the answer to (x-3)^{-2}=25 ?

The answer to (x-3)^{-2}=25 is x= 16/5 ,x= 14/5

Solve for x: (x-3)^{-2}=25

The solution is x= 16/5 ,x= 14/5

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(x - 3)^{- 2} = 25

x = \frac{16}{5}, x = \frac{14}{5}

Decimal Notation

x = 3.2, x = 2.8

Solution steps

(x - 3)^{- 2} = 25

Refine

\frac{1}{( x - 3 ) ^{2}} = 25

Multiply both sides by

(x - 3)^{2}

1 = 25 (x - 3)^{2}

Solve

1 = 25 (x - 3)^{2} : x = \frac{16}{5}, x = \frac{14}{5}

x = \frac{16}{5}, x = \frac{14}{5}

Verify Solutions

Find undefined (singularity) points:

x = 3

Combine undefined points with solutions:

x = \frac{16}{5}, x = \frac{14}{5}

0 = \frac{x + 1}{x ^{2} - 81}

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

1 - \frac{1}{( x - 5 ) ^{2}} = 0

\frac{8 m ^{2} + 5 m - 3}{5 m + 5} = 1

\frac{7}{5} = \frac{42}{b}

What is the answer to (x-3)^{-2}=25 ?
The answer to (x-3)^{-2}=25 is x= 16/5 ,x= 14/5
Solve for x: (x-3)^{-2}=25
The solution is x= 16/5 ,x= 14/5