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For the quadratic equation $ax^2+bx+c=0$, the sum of the roots is
A$-\dfrac{b}{a}$
B$\dfrac{c}{a}$
C$\dfrac{b}{a}$
D$-\dfrac{c}{a}$
Answer & Solution
Correct answer: A. $-\dfrac{b}{a}$
1. If the roots are $\alpha,\beta$, then $\alpha+\beta=-\dfrac{b}{a}$ and $\alpha\beta=\dfrac{c}{a}$.
2. So the sum of the roots is $-\dfrac{b}{a}$.
3. (This matches the relation for the zeroes of the polynomial.)
_Source: Karnataka SSLC (KSEEB) Class 10 Mathematics, Ch10 'Quadratic Equations', §10.3_
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