Solve :- x2 -(7 - i) x + (18 - i) = 0 over C.
ANURAG.
x2 – (7 – i) x + (18 – i) = 0
On comparing the given equation with general equation ax2 + bx + c = 0, we get a = 1, b = – (7 – i) and c = 18 – i
We shall first find
But 2ab = – 10, so a and b must be of opposite signs.
Substituting either of these values in (i), we get
Hence, roots of the given equation are 4 – 3i and 3 – 3i