What is the answer to 1/(sqrt(x))=4 ?

The answer to 1/(sqrt(x))=4 is x= 1/16

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1/(sqrt(x))=4

\frac{1}{x} = 4

x = \frac{1}{16}

Decimal Notation

x = 0.0625

Solution steps

\frac{1}{x} = 4

Multiply both sides by

x

\frac{1}{x} x = 4 x

Simplify

1 = 4 x

Switch sides

4 x = 1

Divide both sides by

4

x = \frac{1}{4}

Square both sides:

x = \frac{1}{16}

x = \frac{1}{16}

Verify Solutions:

x = \frac{1}{16}

True

The solution is

x = \frac{1}{16}

\frac{1}{x} = 0

x + 3 + 3 x + 1 = 4

t t + 5 = 30

x^{2} - 15 = x + 5

x + 1 = 3 + x