What are the solutions to the equation 9z^3+13z-2022=0 ?

The solutions to the equation 9z^3+13z-2022=0 are z=6,z=-3+i 16/3 ,z=-3-i 16/3

Find the zeros of 9z^3+13z-2022=0

The zeros of 9z^3+13z-2022=0 are z=6,z=-3+i 16/3 ,z=-3-i 16/3

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9 z^{3} + 13 z - 2022 = 0

z = 6, z = - 3 + i \frac{16}{3}, z = - 3 - i \frac{16}{3}

Solution steps

9 z^{3} + 13 z - 2022 = 0

Factor

9 z^{3} + 13 z - 2022 : (z - 6) (9 z^{2} + 54 z + 337)

(z - 6) (9 z^{2} + 54 z + 337) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

z - 6 = 0 or 9 z^{2} + 54 z + 337 = 0

Solve

z - 6 = 0 : z = 6

Solve

9 z^{2} + 54 z + 337 = 0 : z = - 3 + i \frac{16}{3}, z = - 3 - i \frac{16}{3}

The solutions are

z = 6, z = - 3 + i \frac{16}{3}, z = - 3 - i \frac{16}{3}

x^{2} (x - 3) = 12 - 4 x

x^{6} + x^{4} - 2 x^{3} - 2 x + 1 = 0

- λ^{3} - λ^{2} + 8 λ + 12 = 0

6 x^{4} + 8 x^{2} = 26 x^{3}

x^{3} - 8 x^{2} + 217 x + 224 = 0

What are the solutions to the equation 9z^3+13z-2022=0 ?
The solutions to the equation 9z^3+13z-2022=0 are z=6,z=-3+i 16/3 ,z=-3-i 16/3
Find the zeros of 9z^3+13z-2022=0
The zeros of 9z^3+13z-2022=0 are z=6,z=-3+i 16/3 ,z=-3-i 16/3