Solve in R:
$\displaystyle
x^{2}\times 2^{\sqrt{2x+1}-1}+2^{x}=2^{\sqrt{2x+1}+1}+x^{2}\times 2^{x-2}
$
Hello everyoneThis only gives the solution $\displaystyle x = 4$ (which is correct), but there is also a solution at $\displaystyle x = 2$. I think you'll have to replace the $\displaystyle x^2$ terms by an expression in the form $\displaystyle x = 2^y$ and the compare coefficients to get this solution.
Grandad