# Math Help - Expo-equation

1. ## Expo-equation

Solve in R:
$
x^{2}\times 2^{\sqrt{2x+1}-1}+2^{x}=2^{\sqrt{2x+1}+1}+x^{2}\times 2^{x-2}
$

2. Originally Posted by dhiab
Solve in R:
$
x^{2}\times 2^{\sqrt{2x+1}-1}+2^{x}=2^{\sqrt{2x+1}+1}+x^{2}\times 2^{x-2}
$
$2^{\sqrt{2x+1}-1} = 2^{x-2}$

and find x

3. Hello everyone
Originally Posted by Amer
$2^{\sqrt{2x+1}-1} = 2^{x-2}$

and find x
This only gives the solution $x = 4$ (which is correct), but there is also a solution at $x = 2$. I think you'll have to replace the $x^2$ terms by an expression in the form $x = 2^y$ and the compare coefficients to get this solution.