What is the answer to sqrt((2x)/(5+x))=3x ?

The answer to sqrt((2x)/(5+x))=3x is x=0,x=(-15+sqrt(233))/6

Solve for x: sqrt((2x)/(5+x))=3x

The solution is x=0,x=(-15+sqrt(233))/6

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\frac{2 x}{5 + x} = 3 x

x = 0, x = \frac{- 15 + 233}{6}

Decimal Notation

x = 0, x = 0.04405 \dots

Solution steps

\frac{2 x}{5 + x} = 3 x

Square both sides:

\frac{2 x}{5 + x} = 9 x^{2}

\frac{2 x}{5 + x} = 9 x^{2}

Solve

\frac{2 x}{5 + x} = 9 x^{2} : x = 0, x = \frac{- 15 + 233}{6}, x = - \frac{15 + 233}{6}

x = 0, x = \frac{- 15 + 233}{6}, x = - \frac{15 + 233}{6}

Verify Solutions:

x = 0

True

, x = \frac{- 15 + 233}{6}

True

, x = - \frac{15 + 233}{6}

False

The solutions are

x = 0, x = \frac{- 15 + 233}{6}

x + 6 + 2 - x = 4

(x + 3)^{\frac{2}{3}} = 5

x - 7 = x - 7

x + 1 + 5 = x

What is the answer to sqrt((2x)/(5+x))=3x ?
The answer to sqrt((2x)/(5+x))=3x is x=0,x=(-15+sqrt(233))/6
Solve for x: sqrt((2x)/(5+x))=3x
The solution is x=0,x=(-15+sqrt(233))/6