The number of roots of the equation $|x{|^2} - 7|x| + 12 = 0$ is
$1$
$2$
$3$
$4$
The number of real solutions of the equation $|x{|^2}$-$3|x| + 2 = 0$ are
Let $r_1, r_2, r_3$ be roots of equation $x^3 -2x^2 + 4x + 5074 = 0$, then the value of $(r_1 + 2)(r_2 + 2)(r_3 + 2)$ is
If $x$ be real, then the minimum value of ${x^2} - 8x + 17$ is
If the sum of the two roots of the equation $4{x^3} + 16{x^2} - 9x - 36 = 0$ is zero, then the roots are
If $\alpha , \beta$ and $\gamma$ are the roots of ${x^3} + 8 = 0$, then the equation whose roots are ${\alpha ^2},{\beta ^2}$ and ${\gamma ^2}$ is