The sum of all the real roots of the equation $\left( e ^{2 x }-4\right)\left(6 e ^{2 x }-5 e ^{ x }+1\right)=0$ is
$\log _{ c } 3$
$-\log _{e} 3$
$\log _{ e } 6$
$-\log _{e} 6$
If $x+\frac{1}{x}=a, x^2+\frac{1}{x^3}=b$, then $x^3+\frac{1}{x^2}$ is
The number of distinct real roots of the equation $x ^{7}-7 x -2=0$ is
Product of real roots of the equation ${t^2}{x^2} + |x| + \,9 = 0$
The roots of $|x - 2{|^2} + |x - 2| - 6 = 0$are
If $a,b,c$ are real and ${x^3} - 3{b^2}x + 2{c^3}$ is divisible by $x - a$ and$x - b$, then