Solve 1/2 z^3z= 5/3 z -11

Evaluate

\frac{1}{2} z^{3} \times z = \frac{5}{3} z - 11

Multiply

More Steps

\frac{1}{2} z^{4} = \frac{5}{3} z - 11

Move the expression to the left side

\frac{1}{2} z^{4} - (\frac{5}{3} z - 11) = 0

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

\frac{1}{2} z^{4} - \frac{5}{3} z + 11 = 0

Factor the expression

\frac{1}{6} (3 z^{4} - 10 z + 66) = 0

Divide both sides

3 z^{4} - 10 z + 66 = 0

Calculate

z \approx 1.536501 + 1.348509 i z \approx 1.536501 - 1.348509 i z \approx - 1.536501 + 1.703876 i z \approx - 1.536501 - 1.703876 i

Solution

z_{1} \approx - 1.536501 - 1.703876 i, z_{2} \approx - 1.536501 + 1.703876 i, z_{3} \approx 1.536501 - 1.348509 i, z_{4} \approx 1.536501 + 1.348509 i

Solve the equation(The real numbers system)

Solve the equation(The complex numbers system)

Graph