What is the answer to 18(sqrt((9x)/(3x+5)))=30 ?

The answer to 18(sqrt((9x)/(3x+5)))=30 is x= 125/6

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18(sqrt((9x)/(3x+5)))=30

18 (\frac{9 x}{3 x + 5}) = 30

x = \frac{125}{6}

Decimal Notation

x = 20.83333 \dots

Solution steps

18 (\frac{9 x}{3 x + 5}) = 30

Divide both sides by

18

\frac{9 x}{3 x + 5} = \frac{5}{3}

Square both sides:

\frac{9 x}{3 x + 5} = \frac{25}{9}

\frac{9 x}{3 x + 5} = \frac{25}{9}

Solve

\frac{9 x}{3 x + 5} = \frac{25}{9} : x = \frac{125}{6}

x = \frac{125}{6}

Verify Solutions:

x = \frac{125}{6}

True

The solution is

x = \frac{125}{6}

(- 8 + 5)^{2} + (x - 0)^{2} = 7

x, 7 x + 7 - 10 = - 3

5 x - 9 = 2 x + 3

x - 8 = x - 4

What is the answer to 18(sqrt((9x)/(3x+5)))=30 ?
The answer to 18(sqrt((9x)/(3x+5)))=30 is x= 125/6
Solve for x: 18(sqrt((9x)/(3x+5)))=30
The solution is x= 125/6