What are the solutions to the equation x^3+2x-12=0 ?

The solutions to the equation x^3+2x-12=0 are x=2,x=-1+sqrt(5)i,x=-1-sqrt(5)i

Find the zeros of x^3+2x-12=0

The zeros of x^3+2x-12=0 are x=2,x=-1+sqrt(5)i,x=-1-sqrt(5)i

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x^{3} + 2 x - 12 = 0

x = 2, x = - 1 + 5 i, x = - 1 - 5 i

Solution steps

x^{3} + 2 x - 12 = 0

Factor

x^{3} + 2 x - 12 : (x - 2) (x^{2} + 2 x + 6)

(x - 2) (x^{2} + 2 x + 6) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x - 2 = 0 or x^{2} + 2 x + 6 = 0

Solve

x - 2 = 0 : x = 2

Solve

x^{2} + 2 x + 6 = 0 : x = - 1 + 5 i, x = - 1 - 5 i

The solutions are

x = 2, x = - 1 + 5 i, x = - 1 - 5 i

t^{10} = 5 t^{2} - 3 t

x (x + 1) (x + 2) (x + 3) = 24

x^{4} = 0

2 x^{3} + x = 3

9 x (x^{3} - 10 x) = - 81

What are the solutions to the equation x^3+2x-12=0 ?
The solutions to the equation x^3+2x-12=0 are x=2,x=-1+sqrt(5)i,x=-1-sqrt(5)i
Find the zeros of x^3+2x-12=0
The zeros of x^3+2x-12=0 are x=2,x=-1+sqrt(5)i,x=-1-sqrt(5)i