If $|{x^2} - x - 6| = x + 2$, then the values of $x$ are
$-2, 2, -4$
$-2, 2, 4$
$3, 2, -2$
$4, 4, 3$
The number of roots of the equation $|x{|^2} - 7|x| + 12 = 0$ is
If $x$ be real, then the maximum value of $5 + 4x - 4{x^2}$ will be equal to
In the real number system, the equation $\sqrt{x+3-4 \sqrt{x-1}}+\sqrt{x+8-6 \sqrt{x-1}}=1$ has
Suppose that $x$ and $y$ are positive number with $xy = \frac{1}{9};\,x\left( {y + 1} \right) = \frac{7}{9};\,y\left( {x + 1} \right) = \frac{5}{{18}}$ . The value of $(x + 1) (y + 1)$ equals
The number of real roots of the equation $5 + |2^x - 1| = 2^x(2^x - 2)$ is