$\{ x \in R:|x - 2|\,\, = {x^2}\} = $
$\{ -1, 2\}$
$\{1, 2\}$
$\{ -1, -2\}$
$\{1, -2\}$
If $|x - 2| + |x - 3| = 7$, then $x =$
Equation $\frac{3}{{x - {a^3}}} + \frac{5}{{x - {a^5}}} + \frac{7}{{x - {a^7}}} = 0,a > 1$ has
If $|{x^2} - x - 6| = x + 2$, then the values of $x$ are
Sum of the solutions of the equation $\left[ {{x^2}} \right] - 2x + 1 = 0$ is (where $[.]$ denotes greatest integer function)
If $\alpha $, $\beta$, $\gamma$ are roots of ${x^3} - 2{x^2} + 3x - 2 = 0$ , then the value of$\left( {\frac{{\alpha \beta }}{{\alpha + \beta }} + \frac{{\alpha \gamma }}{{\alpha + \gamma }} + \frac{{\beta \gamma }}{{\beta + \gamma }}} \right)$ is