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

The solutions to the equation roots x^3+x^2-2 are x=1,x=-1+i,x=-1-i

Find the zeros of roots x^3+x^2-2

The zeros of roots x^3+x^2-2 are x=1,x=-1+i,x=-1-i

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roots

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

x = 1, x = - 1 + i, x = - 1 - i

Solution steps

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

The roots are the intercepts with the x-axis

(y = 0)

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

Factor

x^{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 + i, x = - 1 - i

The solutions are

x = 1, x = - 1 + i, x = - 1 - i

n^{6} - n^{3} = 2

x^{3} + 10.6 x^{2} + 7 x + 10

16 x^{5} - 8 x^{3} + x = 0

x^{4} + 5 x^{2} + 4

(z^{2} - 1)^{3} = 8

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