Question

If the sum of the roots of a quadratic equation is 6 and their product is 6, the equation is
(a) $x^2-6x+6=0$
(b) $x^2+6x-6=0$
(c) $x^2-6x-6=0$
(d) $x^2+6x+6=0$

Answer 1

(a) $x^2-6x+6=0$

$$\begin{gathered} \mathrm{Given}: \\ \mathrm{Sum\; of\; roots}=6 \\ \mathrm{Product\; of\; roots}=6 \\ \text{Thus, the equation is:} \\ {x}^2-6x+6=0 \end{gathered}$$