What is the answer to x/2 = 4/(x+9x^3) ?

The answer to x/2 = 4/(x+9x^3) is x=(2sqrt(2))/3 ,x=-(2sqrt(2))/3 ,x=i,x=-i

Solve for x: x/2 = 4/(x+9x^3)

The solution is x=(2sqrt(2))/3 ,x=-(2sqrt(2))/3 ,x=i,x=-i

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\frac{x}{2} = \frac{4}{x + 9 x ^{3}}

x = \frac{2 2}{3}, x = - \frac{2 2}{3}, x = i, x = - i

Solution steps

\frac{x}{2} = \frac{4}{x + 9 x ^{3}}

Cross multiply

x (x + 9 x^{3}) = 8

Solve

x (x + 9 x^{3}) = 8 : x = \frac{2 2}{3}, x = - \frac{2 2}{3}, x = i, x = - i

x = \frac{2 2}{3}, x = - \frac{2 2}{3}, x = i, x = - i

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{2 2}{3}, x = - \frac{2 2}{3}, x = i, x = - i

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

\frac{x + 1}{3 x} - 1 = \frac{1 - x}{2}

\frac{36}{x} - x = 0

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

3 x + \frac{2}{x} = - 7

What is the answer to x/2 = 4/(x+9x^3) ?
The answer to x/2 = 4/(x+9x^3) is x=(2sqrt(2))/3 ,x=-(2sqrt(2))/3 ,x=i,x=-i
Solve for x: x/2 = 4/(x+9x^3)
The solution is x=(2sqrt(2))/3 ,x=-(2sqrt(2))/3 ,x=i,x=-i