What is the answer to 1/(1-sqrt(x))=5 ?

The answer to 1/(1-sqrt(x))=5 is x= 16/25

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1/(1-sqrt(x))=5

\frac{1}{1 - x} = 5

x = \frac{16}{25}

Decimal Notation

x = 0.64

Solution steps

\frac{1}{1 - x} = 5

Multiply both sides by

1 - x

\frac{1}{1 - x} (1 - x) = 5 (1 - x)

Simplify

1 = 5 (1 - x)

Expand

5 (1 - x) : 5 - 5 x

1 = 5 - 5 x

Switch sides

5 - 5 x = 1

Move

5

to the right side

- 5 x = - 4

Divide both sides by

- 5

x = \frac{4}{5}

Square both sides:

x = \frac{16}{25}

x = \frac{16}{25}

Verify Solutions:

x = \frac{16}{25}

True

The solution is

x = \frac{16}{25}

x^{\frac{1}{3}} - x = 0

4 x + 1 - 14 x + 15 = 1

x - 3 = 5 - x

x + 7 = 10

What is the answer to 1/(1-sqrt(x))=5 ?
The answer to 1/(1-sqrt(x))=5 is x= 16/25
Solve for x: 1/(1-sqrt(x))=5
The solution is x= 16/25