What is the answer to x/3 = 9/(x+5x^2) ?

The answer to x/3 = 9/(x+5x^2) is x\approx 1.69021…

Solve for x: x/3 = 9/(x+5x^2)

The solution is x\approx 1.69021…

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\frac{x}{3} = \frac{9}{x + 5 x ^{2}}

x \approx 1.69021 \dots

Solution steps

\frac{x}{3} = \frac{9}{x + 5 x ^{2}}

Cross multiply

x (x + 5 x^{2}) = 27

Solve

x (x + 5 x^{2}) = 27 : x \approx 1.69021 \dots

x \approx 1.69021 \dots

Verify Solutions

Find undefined (singularity) points:

x = 0, x = - \frac{1}{5}

Combine undefined points with solutions:

x \approx 1.69021 \dots

\frac{8}{a} = \frac{21}{42}

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

\frac{- 3}{2 x} + \frac{6}{x} = - 9

\frac{1}{x ^{2} + 2} = \frac{1}{4}

\frac{3}{5} = \frac{1}{x}

What is the answer to x/3 = 9/(x+5x^2) ?
The answer to x/3 = 9/(x+5x^2) is x\approx 1.69021…
Solve for x: x/3 = 9/(x+5x^2)
The solution is x\approx 1.69021…