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If $\;1-i\;$ is a root of the equation $\;x^{2} + bx + c=0\;$ where $\;a,b \in R\;$ , then find the values of a and b .


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Answer : -2 , 2
Explanation :
Sum of roots $\; \large\frac{-a}{1} = (1-i)+(1+i)$
(Since non real complex roots occur in conjugate pairs )
Product of roots $\;\large\frac{b}{1}=(1-i)(1+i)$ => $\;b=2$
answered Apr 18, 2014 by yamini.v

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