What are the solutions to the equation solvefor x,x^3+x^2+x+1=0 ?

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

Find the zeros of solvefor x,x^3+x^2+x+1=0

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

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solve for

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

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

Solution steps

x^{3} + x^{2} + x + 1 = 0

Factor

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

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

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

Solve

x + 1 = 0 : x = - 1

Solve

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

The solutions are

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

x^{6} + x^{3} - 2 = 0

(1 - 12) \cdot (k^{2} k - 3) = 0

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

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

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

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