What are the solutions to the equation z^3+z-10=0 ?

The solutions to the equation z^3+z-10=0 are z=2,z=-1+2i,z=-1-2i

Find the zeros of z^3+z-10=0

The zeros of z^3+z-10=0 are z=2,z=-1+2i,z=-1-2i

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z^{3} + z - 10 = 0

z = 2, z = - 1 + 2 i, z = - 1 - 2 i

Solution steps

z^{3} + z - 10 = 0

Factor

z^{3} + z - 10 : (z - 2) (z^{2} + 2 z + 5)

(z - 2) (z^{2} + 2 z + 5) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

z - 2 = 0 or z^{2} + 2 z + 5 = 0

Solve

z - 2 = 0 : z = 2

Solve

z^{2} + 2 z + 5 = 0 : z = - 1 + 2 i, z = - 1 - 2 i

The solutions are

z = 2, z = - 1 + 2 i, z = - 1 - 2 i

(x + 3)^{2} - (3 x - 1)^{2} = x^{3} + 4

3 t^{3} - 5 t^{2} - 2 t = 0

100 \cdot (x)^{43} = 462.8370800000000 \dots

24 = x^{4}

24 = x^{6}

What are the solutions to the equation z^3+z-10=0 ?
The solutions to the equation z^3+z-10=0 are z=2,z=-1+2i,z=-1-2i
Find the zeros of z^3+z-10=0
The zeros of z^3+z-10=0 are z=2,z=-1+2i,z=-1-2i