Solve :- 2x2 - (3+7i) x - (3-9i) = 0
We have 2x2 – (3 + 7i) x – (3 – 9i) = 0.
On comparing the given equation with the general form ax2 + bx + c = 0, we obtain
a = 2, b = – (3 + 7i), c = – (3 – 9i)
Substituting the values of a, b, c in
Now firstly find out .
Since 2ab = –30, a and b must be of opposite signs.
Substituting either of these values in (1), we get
Hence the roots of the given equation are