equation solver - Wolfram|Alpha

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Input interpretation

solve 1 + 6 x + x^3 = 0

Result

x = (1/2 (sqrt(33) - 1))^(1/3) - 2 (2/(sqrt(33) - 1))^(1/3)

x = (1 - i sqrt(3)) (2/(sqrt(33) - 1))^(1/3) - 1/2 (1 + i sqrt(3)) (1/2 (sqrt(33) - 1))^(1/3)

x = (1 + i sqrt(3)) (2/(sqrt(33) - 1))^(1/3) + 1/2 i (sqrt(3) + i) (1/2 (sqrt(33) - 1))^(1/3)

Root plot

Root plot

Roots in the complex plane

Roots in the complex plane

Sum of roots

Product of roots

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