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

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

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

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

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

x = - 1, x = - 1 + 3, x = - 1 - 3

Solution steps

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

Factor

x^{3} + 3 x^{2} - 2 : (x + 1) (x^{2} + 2 x - 2)

(x + 1) (x^{2} + 2 x - 2) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x + 1 = 0 or x^{2} + 2 x - 2 = 0

Solve

x + 1 = 0 : x = - 1

Solve

x^{2} + 2 x - 2 = 0 : x = - 1 + 3, x = - 1 - 3

The solutions are

x = - 1, x = - 1 + 3, x = - 1 - 3

16 x^{2} - 30 x - 2 x^{3} = 0

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

x^{3} - x^{2} - 4 x - 4 = 0

X^{3} = 8

x^{3} - 3 x^{2} - 9 x = - 27

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