Solve 11= 2/3 (4x^6)

Evaluate

11 = \frac{2}{3} \times 4 x^{6}

Multiply the numbers

More Steps

11 = \frac{8}{3} x^{6}

Swap the sides of the equation

\frac{8}{3} x^{6} = 11

Multiply by the reciprocal

\frac{8}{3} x^{6} \times \frac{3}{8} = 11 \times \frac{3}{8}

Multiply

x^{6} = 11 \times \frac{3}{8}

Multiply

More Steps

x^{6} = \frac{33}{8}

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

x = \pm 6 \frac{33}{8}

Simplify the expression

More Steps

x = \pm \frac{6 264}{2}

Separate the equation into 2 possible cases

x = \frac{6 264}{2} x = - \frac{6 264}{2}

Solution

x_{1} = - \frac{6 264}{2}, x_{2} = \frac{6 264}{2}

Alternative Form

x_{1} \approx - 1.266399, x_{2} \approx 1.266399

Solve the equation