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

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

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

The zeros of roots x^3+x^2-2=0 are x=1,x=-1+i,x=-1-i

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roots

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

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

Solution steps

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

- x^{3} + 3 x + 2

45 y^{3} n^{2}

x^{3} = x^{2} - 7

5000 = 4000 (1 + x)^{3}

220 x^{3} - 48 x^{2} = 0

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