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

The answer to (sqrt(x)+1)/((sqrt(x)))=4 is x= 1/9

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(sqrt(x)+1)/((sqrt(x)))=4

\frac{x + 1}{( x )} = 4

x = \frac{1}{9}

Decimal Notation

x = 0.11111 \dots

Solution steps

\frac{x + 1}{( x )} = 4

Multiply both sides by

x

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

Simplify

x + 1 = 4 x

Move

1

to the right side

x = 4 x - 1

Move

4 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}

x^{2} - 24 = 5 x

x = 2 + 3 x + 1 x

x^{\frac{3}{2}} = 12

4 - 3 x - 2 36 - 27 x + 5 = 0

\frac{- 1}{5 - \frac{1}{3} \cdot x + 1} = - \frac{17}{10}

What is the answer to (sqrt(x)+1)/((sqrt(x)))=4 ?
The answer to (sqrt(x)+1)/((sqrt(x)))=4 is x= 1/9
Solve for x: (sqrt(x)+1)/((sqrt(x)))=4
The solution is x= 1/9