Solve 1/3(x^6)-1/2(x^6)=-8

Evaluate

\frac{1}{3} x^{6} - \frac{1}{2} x^{6} = - 8

Subtract the terms

More Steps

- \frac{1}{6} x^{6} = - 8

Change the signs on both sides of the equation

\frac{1}{6} x^{6} = 8

Multiply by the reciprocal

\frac{1}{6} x^{6} \times 6 = 8 \times 6

Multiply

x^{6} = 8 \times 6

Multiply

x^{6} = 48

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

x = \pm 648

Separate the equation into 2 possible cases

x = 648 x = - 648

Solution

x_{1} = - 648, x_{2} = 648

Alternative Form

x_{1} \approx - 1.906369, x_{2} \approx 1.906369

Solve the equation