today star question
1. 2^74+2^5048+2^2n is a perfect square what is
the largest possible number n..

• same way n+38=5048
  n=5010
• 11 years agoHelpfull: Yes(18) No(0)
• 2^74=(2^37)^2=a^2
  2^2n=(2^n)^2=b^2
  2^2048=2.(2^37).(2^n)=2^(37+n+1)
  37+n+1=2048
  n=2010
  
• 11 years agoHelpfull: Yes(3) No(9)
• (2^37)^2+2*2^37*2^n+(2^n)^2
  So,2*2^37*2^n=2^5048
  2^38+n=2^5048
  n=5010
• 11 years agoHelpfull: Yes(3) No(0)
• n=5010
  as 5048-(1+37)=5010
• 11 years agoHelpfull: Yes(1) No(0)
• the answer is 5010
• 11 years agoHelpfull: Yes(1) No(0)
• 5010
  38+n=5048
• 11 years agoHelpfull: Yes(0) No(0)
• ans: is 5010
  
• 11 years agoHelpfull: Yes(0) No(0)