Question

Roots of the equations $a,b,c$, $a + b + c = 0,$ are.

• A. Reciprocal and of same sign
• B. Reciprocal and of opposite sign
• C. Equal in product
• D. None of these

Answer 1

Answer: (B)

Reciprocal and of opposite sign

Answer 2

We have that, if roots of $Ax^{2} + Bx + C = 0$are $\alpha,\beta$, then the roots of $x^{2} + px + q = 0$will be $\alpha^{2},\mspace{6mu}\beta^{2}$ and hence roots of $\frac{B^{2} - 2AC}{A^{2}}$will be $\frac{2AC - B^{2}}{A^{2}}$.