What is the answer to sqrt(x)= 1/x ?

The answer to sqrt(x)= 1/x is x=1

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sqrt(x)= 1/x

x = \frac{1}{x}

x = 1

Solution steps

x = \frac{1}{x}

Multiply both sides by

x

x x = \frac{1}{x} x

Simplify

x x = 1

Square both sides:

x^{3} = 1

x^{3} = 1

Solve

x^{3} = 1 : x = 1

x = 1

Verify Solutions:

x = 1

True

The solution is

x = 1

(x - 3)^{\frac{2}{3}} = 36

5 x - 1 = 3

5 x - 1 = 2

x - 6 = 13 x + 36

x - 4 - 2 x + 5 = 3