What are the solutions to the equation roots x^3+x^2+x+1 ?

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

Find the zeros of roots x^3+x^2+x+1

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

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roots

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

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

Solution steps

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

The roots are the intercepts with the x-axis

(y = 0)

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

z^{4} = - 1 - i 3

x, 3 x^{3} 0.3 y^{3} + 1 = y

x^{6} + 9 x^{4} + 24 x^{2} + 16 = 0

3 x^{4} + x^{3} + 73 x^{2} + 25 x + 16 = 0

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