solve for x if x^3 +x^2 +x +1 = 0

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We have to solve for x: x^3 +x^2 +x +1 = 0

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

=> x^2( x + 1) + 1(x + 1) = 0

=> (x^2 + 1)(x + 1) = 0

x + 1 = 0

=> x = -1

x^2 + 1 = 0

=> x^2 = -1

=> x = i , -i

The values of...

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