If the roots of the equation $8{x^3} - 14{x^2} + 7x - 1 = 0$ are in $G.P.$, then the roots are

The number of solution$(s)$ of the equation $ln(lnx)$ = $log_xe$ is -

Let $p(x)=x^2-5 x+a$ and $q(x)=x^2-3 x+b$, where $a$ and $b$ are positive integers. Suppose HCF $(p(x), q(x))=x-1$ and $k(x)=1 cm (p(x), q(x))$ If the coefficient of the highest degree term of $k(x)$ is 1 , then sum of the roots of $(x-1)+k(x)$ is

The number of integers $n$ for which $3 x^3-25 x+n=0$ has three real roots is

The number of real roots of the equation $5 + |2^x - 1| = 2^x(2^x - 2)$ is

The solution of the equation $2{x^2} + 3x - 9 \le 0$ is given by