Solve 3x^5 / 2x 1 = 1 / 3

Question

Solve the equation

x_{1} = - \frac{6 162}{3}, x_{2} = \frac{6 162}{3}

Alternative Form

x_{1} \approx - 0.778272, x_{2} \approx 0.778272

Evaluate

(3 \times \frac{x ^{5}}{2}) x \times 1 = \frac{1}{3}

Remove the parentheses

3 \times \frac{x ^{5}}{2} x \times 1 = \frac{1}{3}

Multiply the terms

More Steps

\frac{3 x ^{6}}{2} = \frac{1}{3}

Multiply both sides of the equation by 2

\frac{3 x ^{6}}{2} \times 2 = \frac{1}{3} \times 2

Multiply the terms

3 x^{6} = \frac{2}{3}

Multiply by the reciprocal

3 x^{6} \times \frac{1}{3} = \frac{2}{3} \times \frac{1}{3}

Multiply

x^{6} = \frac{2}{3} \times \frac{1}{3}

Multiply

More Steps

x^{6} = \frac{2}{9}

Take the root of both sides of the equation and remember to use both positive and negative roots

x = \pm 6 \frac{2}{9}

Simplify the expression

More Steps

x = \pm \frac{6 162}{3}

Separate the equation into 2 possible cases

x = \frac{6 162}{3} x = - \frac{6 162}{3}

Solution

x_{1} = - \frac{6 162}{3}, x_{2} = \frac{6 162}{3}

Alternative Form

x_{1} \approx - 0.778272, x_{2} \approx 0.778272

Show Solution