The sum of all real roots of the equation $|x-2|^2+|x-2|-2=0$ is:

If the set of all $a \in R$,for which the equation $2x^2 + (a-5)x + (15-3a) = 0$ has no real root,is the interval $(\alpha, \beta)$,and $X = \{x \in Z : \alpha < x < \beta\}$,then $\sum_{x \in X} x^2$ is equal to

If $\alpha, \beta, \gamma, \delta$ are the roots of the equation $12x^4-56x^3+89x^2-56x+12=0$ such that $\alpha\beta=\gamma\delta=1$ and $\frac{\alpha+\beta}{\gamma+\delta}>1$,then $\frac{\alpha+\beta}{\gamma+\delta}=$

What are the roots of the given equation $(p - q)x^2 + (q - r)x + (r - p) = 0$?

If $\alpha$ and $\beta$ are the roots of ${x^2} + px + q = 0$ and $\alpha + h$ and $\beta + h$ are the roots of ${x^2} + rx + s = 0$,then

If $a, b \in \{1, 2, 3\}$ and the equation $ax^{2} + bx + 1 = 0$ has real roots,then