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

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

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(x-3)^2= 1/((x-3)^2)

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

x = 4, x = 2

Solution steps

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

Multiply both sides by

(x - 3)^{2}

(x - 3)^{4} = 1

Solve

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

x = 4, x = 2

Verify Solutions

Find undefined (singularity) points:

x = 3

Combine undefined points with solutions:

x = 4, x = 2

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

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

x - 5 = \frac{36}{x}

v, n = \frac{c}{v}

v, D = \frac{p}{v}

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