What is the answer to (2x)/(sqrt(x)-2)=18 ?

The answer to (2x)/(sqrt(x)-2)=18 is x=36,x=9

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(2x)/(sqrt(x)-2)=18

\frac{2 x}{x - 2} = 18

x = 36, x = 9

Solution steps

\frac{2 x}{x - 2} = 18

Multiply both sides by

x - 2

\frac{2 x}{x - 2} (x - 2) = 18 (x - 2)

Simplify

2 x = 18 (x - 2)

Expand

18 (x - 2) : 18 x - 36

2 x = 18 x - 36

Remove square roots

4 x^{2} + 144 x + 1296 = 324 x

Solve

4 x^{2} + 144 x + 1296 = 324 x : x = 36, x = 9

x = 36, x = 9

Verify Solutions:

x = 36

True

, x = 9

True

The solutions are

x = 36, x = 9

x + 1 = 4 x - 3 - 1

14 - 5 x - x = 0

(x + 3)^{\frac{5}{3}} = 32

7 x + 4 = 7 + 4

x + 3 = 2 x - 7

What is the answer to (2x)/(sqrt(x)-2)=18 ?
The answer to (2x)/(sqrt(x)-2)=18 is x=36,x=9
Solve for x: (2x)/(sqrt(x)-2)=18
The solution is x=36,x=9