Solve :-** x ^{2} -(7 - i) x + (18 - i) = 0 over C.**

**ANURAG.**

*x*^{2} – (7 – *i*)* x* + (18 –* i*) = 0

On comparing the given equation with general equation *ax*^{2} +* bx + c* = 0, we get *a* = 1,* b* = – (7 – *i*) and *c* = 18 – *i*

We shall first find

But 2*ab* = – 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 – 3*i *and 3 – 3*i*

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