Solve 3x^4=1 - ScanMath

Evaluate

3 x^{4} = 1

Divide both sides

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

Divide the numbers

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

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

x = \pm 4 \frac{1}{3}

Simplify the expression

More Steps

x = \pm \frac{4 27}{3}

Separate the equation into 2 possible cases

x = \frac{4 27}{3} x = - \frac{4 27}{3}

Solution

x_{1} = - \frac{4 27}{3}, x_{2} = \frac{4 27}{3}

Alternative Form

x_{1} \approx - 0.759836, x_{2} \approx 0.759836

Solve the equation