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

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

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

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

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

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

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

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

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

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