The equation whose difference between the roots of a quadratic is 4i and The sum of the roots is 12 is; x² -12x + 40 = 0
According to the question;
- The difference between the roots of a quadratic is 4i. The sum of the roots is 12.
In essence,
By solving simultaneously;
- f = 6 + 2i. and. g = 6 - 2i
The equation can therefore be written as follows;
- (x - 6 -2i) (x -6 +2i) = 0
The equation is therefore;
x² -12x + 40 = 0
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