Solve 3x^684=180 - ScanMath

Evaluate

3 x^{6} \times 84 = 180

Multiply the terms

252 x^{6} = 180

Divide both sides

\frac{252 x ^{6}}{252} = \frac{180}{252}

Divide the numbers

x^{6} = \frac{180}{252}

Cancel out the common factor 36

x^{6} = \frac{5}{7}

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

x = \pm 6 \frac{5}{7}

Simplify the expression

More Steps

x = \pm \frac{6 84035}{7}

Separate the equation into 2 possible cases

x = \frac{6 84035}{7} x = - \frac{6 84035}{7}

Solution

x_{1} = - \frac{6 84035}{7}, x_{2} = \frac{6 84035}{7}

Alternative Form

x_{1} \approx - 0.945465, x_{2} \approx 0.945465

Solve the equation