+0  
 
0
825
6
avatar+101 

Find all real solutions for x in \( 2(2^x- 1) x^2 + (2^{x^2}-2)x = 2^{x+1} -2 . \)

 

 

Thanks for your time!

 Feb 24, 2020
 #1
avatar
-1

The solutions are x = -2, x = 2, and x = 5.

 Feb 25, 2020
 #2
avatar+101 
0

Could you please explain to me how you got those answers?

 Feb 26, 2020
 #3
avatar+118677 
0

Can you confirm whether you intend

 

\({2^{x^{2}}}={2^{(x^{2})}}\quad or \quad {(2^{x}})^{2}\)

 

I think if your notation is correct it should be the first one. 

That is the one I have been playing with.  But so far I am baffled.

 Feb 29, 2020
 #5
avatar+101 
0

Yeah, I mean the former. 

chclt363  Mar 2, 2020
 #4
avatar+33661 
+6

Assuming \(2^{x^2} \) means \(2^{(x^2)}\) then:

 

 Feb 29, 2020
 #6
avatar+101 
0

Thanks!

chclt363  Mar 2, 2020

1 Online Users