What is the answer to x^{-1}=64sqrt(x) ?

The answer to x^{-1}=64sqrt(x) is x= 1/16

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x^{-1}=64sqrt(x)

x^{- 1} = 64 x

x = \frac{1}{16}

Decimal Notation

x = 0.0625

Solution steps

x^{- 1} = 64 x

Square both sides:

\frac{1}{x ^{2}} = 4096 x

\frac{1}{x ^{2}} = 4096 x

Solve

\frac{1}{x ^{2}} = 4096 x : x = \frac{1}{16}

x = \frac{1}{16}

Verify Solutions:

x = \frac{1}{16}

True

The solution is

x = \frac{1}{16}

2.04 = 0.3761 x^{0.5592}

(x - 1)^{\frac{2}{3}} = 49

(x - 4)^{\frac{2}{3}} = 49

x = x + 30

x^{\frac{3}{5}} = 27

What is the answer to x^{-1}=64sqrt(x) ?
The answer to x^{-1}=64sqrt(x) is x= 1/16
Solve for x: x^{-1}=64sqrt(x)
The solution is x= 1/16