Let $\alpha$ and $\beta$ be the roots of $x^2-6 x-2=0$, with $\alpha>\beta$. If $a_n=\alpha^n-\beta^n$ for $n \geq 1$, then the value of $\frac{a_{10}-2 a_8}{2 a_9}$ is
$1$
$2$
$3$
$4$
In a cubic equation coefficient of $x^2$ is zero and remaining coefficient are real has one root $\alpha = 3 + 4\, i$ and remaining roots are $\beta$ and $\gamma$ then $\alpha \beta \gamma$ is :-
Product of real roots of the equation ${t^2}{x^2} + |x| + \,9 = 0$
If ${x^2} + px + 1$ is a factor of the expression $a{x^3} + bx + c$, then
Let $a, b, c$ be non-zero real roots of the equation $x^3+a x^2+b x+c=0$. Then,
The number of real solutions of the equation $|x{|^2}$-$3|x| + 2 = 0$ are