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

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

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

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

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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

z^{4} - i = 0

x, y = x^{3}

4 x^{4} - 37 x^{2} + 9 = 0

27 x^{3} - 343 = 0

(2 x - 5) (3 x^{2} + 7 x - 6) = 0

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