Recent activity by Bhargobi

The actual ___________ of Wilson's position was always ___________ by his refusal to compromise after having initially agreed to negotiate a settlement.Outcome, foreshado...

Let $n$ and $m$ be two positive integers such that there are exactly $41$ integers greater than $8^{m}$ and less than $8^{n}$, which can be expressed as powers of $2$. Th...

For some real numbers $a$ and $b$, the system of equations $x+y=4$ and $(a+5) x+\left(b^{2}-15\right) y=8 b$ has infinitely many solutions for $x$ and $y$. Then, the maxi...

A quadratic equation $x^{2}+b x+c=0$ has two real roots. If the difference between the reciprocals of the roots is $\frac{1}{3}$, and the sum of the reciprocals of the sq...

If $x$ is a positive real number such that $x^{8}+\left(\frac{1}{x}\right)^{8}=47$, then the value of $x^{9}+\left(\frac{1}{x}\right)^{9}$ is$34 \sqrt{5}$$40 \sqrt{5}$$36...