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today star question
1. 2^74+2^5048+2^2n is a perfect square what is
the largest possible number n..
Read Solution (Total 7)
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- same way n+38=5048
n=5010 - 10 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
- 10 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 - 10 years agoHelpfull: Yes(3) No(0)
- n=5010
as 5048-(1+37)=5010 - 10 years agoHelpfull: Yes(1) No(0)
- the answer is 5010
- 10 years agoHelpfull: Yes(1) No(0)
- 5010
38+n=5048 - 10 years agoHelpfull: Yes(0) No(0)
- ans: is 5010
- 10 years agoHelpfull: Yes(0) No(0)
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