perplexus.info :: Just Math : A Complex Equation

A Complex Equation (Posted on 2023-04-28)

Solve:

2x-x^3 = 3i

No Solution Yet Submitted by Ady TZIDON

Rating: 4.0000 (1 votes)

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Puzzle Solution | Comment 2 of 4 |

Substituting x=i in the given equation, we have:
LHS = 2i-(-i)= 3i= RHS
Thus, we have x=i as a root of the equation.
Then, dividing (2x-x^3 - 3i) by (x-i) we have:
-x^2-ix-3
Then, considering x^2-ix-3 =0, we have:
x = (i+/-sqrt(-1+12))/2 = (I +/- sqrt(11))/2

Edited on April 28, 2023, 12:08 pm

Posted by K Sengupta on 2023-04-28 12:00:03

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