Solve 4=1/2(3x^4)

Evaluate

4 = \frac{1}{2} \times 3 x^{4}

Multiply the numbers

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

Swap the sides of the equation

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

Multiply by the reciprocal

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

Multiply

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

Multiply

More Steps

x^{4} = \frac{8}{3}

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

x = \pm 4 \frac{8}{3}

Simplify the expression

More Steps

x = \pm \frac{4 216}{3}

Separate the equation into 2 possible cases

x = \frac{4 216}{3} x = - \frac{4 216}{3}

Solution

x_{1} = - \frac{4 216}{3}, x_{2} = \frac{4 216}{3}

Alternative Form

x_{1} \approx - 1.277886, x_{2} \approx 1.277886

Solve the equation