Solve x: 2x^4 =38

Evaluate

x \div 2 x^{4} = 38

Find the domain

More Steps

x \div 2 x^{4} = 38, x \neq = 0

Divide the terms

More Steps

\frac{1}{2 x ^{3}} = 38

Cross multiply

1 = 2 x^{3} \times 38

Simplify the equation

1 = 76 x^{3}

Swap the sides of the equation

76 x^{3} = 1

Divide both sides

\frac{76 x ^{3}}{76} = \frac{1}{76}

Divide the numbers

x^{3} = \frac{1}{76}

Take the 3 -th root on both sides of the equation

3 x^{3} = 3 \frac{1}{76}

Calculate

x = 3 \frac{1}{76}

Simplify the root

More Steps

x = \frac{3 722}{38}

Check if the solution is in the defined range

x = \frac{3 722}{38}, x \neq = 0

Solution

x = \frac{3 722}{38}

Alternative Form

x \approx 0.236082

Solve the equation