Solve z^28z - 31 = 0

Evaluate

z^{2} \times 8 z - 31 = 0

Multiply

More Steps

8 z^{3} - 31 = 0

Move the constant to the right-hand side and change its sign

8 z^{3} = 0 + 31

Removing 0 doesn't change the value,so remove it from the expression

8 z^{3} = 31

Divide both sides

\frac{8 z ^{3}}{8} = \frac{31}{8}

Divide the numbers

z^{3} = \frac{31}{8}

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

3 z^{3} = 3 \frac{31}{8}

Calculate

z = 3 \frac{31}{8}

Solution

More Steps

z = \frac{3 31}{2}

Alternative Form

z \approx 1.57069

Solve the equation