What is the solution of x^3 + 3x^2 + x + 3 = 0

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justaguide | College Teacher | (Level 2) Distinguished Educator

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The equation x^3 + 3x^2 + x + 3 = 0 has to be solved.

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

=> x^2(x + 3) + 1(x + 3) = 0

=> (x^2 + 1)(x + 3) = 0

=> x^2 = -1 and x = -3

=> x = i and x = -i and x = -3

The solution of the equation x^3 + 3x^2 + x + 3 = 0 is {- i, i, -3}

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