If the roots of the equation $3x^2 + 4kx + 3 = 0$ are non-real,then $k$ lies in the interval

If $a < b < c < d$,then what is the nature of the roots of the equation $(x - a)(x - c) + 2(x - b)(x - d) = 0$?

The solution of the equation $2x^3 - x^2 - 22x - 24 = 0$,given that two of the roots are in the ratio $3:4$,is:

Let $\alpha, \beta$ be two roots of the quadratic equation $x^2+ax-b=0, b \neq 0$. If the straight line $x \cos \theta + y \sin \theta = c$ touches the curve $(\frac{x}{\alpha})^n + (\frac{y}{\beta})^n = 2$ at the point $(\alpha, \beta)$, then $(\frac{a}{b})^2 + \frac{2}{b} =$

If the roots of $4x^2 + px + 9 = 0$ are equal,then the absolute value of $p$ is:

The roots of the equation $x^{2/3} + x^{1/3} - 2 = 0$ are