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

The answer to 1/(sqrt(x))-1=2 is x= 1/9

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1/(sqrt(x))-1=2

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

x = \frac{1}{9}

Decimal Notation

x = 0.11111 \dots

Solution steps

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

Multiply both sides by

x

\frac{1}{x} x - 1 \cdot x = 2 x

Simplify

1 - x = 2 x

Move

1

to the right side

- x = 2 x - 1

Move

2 x

to the left side

- 3 x = - 1

Divide both sides by

- 3

x = \frac{1}{3}

Square both sides:

x = \frac{1}{9}

x = \frac{1}{9}

Verify Solutions:

x = \frac{1}{9}

True

The solution is

x = \frac{1}{9}

52 - 6 x = x - 10

x - 5 + 1 = x - 2

x, y = 2 x + 1

9 x + 145 = 2 x + 20

a + 5 = a + 44