We have a cubic equation: x^3-x^2-36=0. It has an obvious solution x=-3. By factoring, the cubic equation becomes (x+3)(x^2-4x+12)=0. The second factor gives two additional komplex solutions x=2(1+i sqrt(2)) and x=2(1-i sqrt(2)). There is no need for lengthy mantal gymnastics...
We have a cubic equation: x^3-x^2-36=0. It has an obvious solution x=-3. By factoring, the cubic equation becomes (x+3)(x^2-4x+12)=0. The second factor gives two additional komplex solutions x=2(1+i sqrt(2)) and x=2(1-i sqrt(2)). There is no need for lengthy mantal gymnastics...
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