Quadratic Equations Quiz 3

If one root of $x^2-8x+13=0$ is $4+\sqrt{3}$, then the other root is ……

If $\alpha$ and $\beta$ are the roots of a quadratic equation $x^2-px+q=0$ then $\frac{\alpha}{\beta}+\frac{\beta}{\alpha}=$

If $x=\sqrt{3+\sqrt{3+\sqrt{3+.....\infty}}}$ then

If the difference of two numbers is 5 and their product is 84, then the numbers

$\sqrt{6+\sqrt{6+\sqrt{6\,+......\infty}}}$ = .............

If $x+\frac{1}{x}=2$, then $x^2+\frac{1}{x^2}$ =

The discriminant of the quadratic equation $ax^2+bx+c=0$ is

A ball is thrown vertically upward from the ground. The distance s in t seconds is given by $s=4t^2+t-3.$ After how many seconds does the ball come to rest?

The product of the roots of $\sqrt{2}x^2-10x+5\sqrt{2}=0$ is

The discriminant of $\sqrt{x^2-5x-1}=2$ is