SOLUTION: 4^27+4^1000+4^x = (a perfect square number), what is x

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Question 21894: 4^27+4^1000+4^x = (a perfect square number), what is x
Answer by khwang(438) About Me  (Show Source):
You can put this solution on YOUR website!
4^27+4^1000+4^x = (a perfect square number), what is x ?
*** This does not belong to linear algebra.
4%5E27%2B4%5E1000%2B4%5Ex+=2%5E54+%2B+2%5E2000%2B+2%5E%282x%29+=%282%5Ex+%2B+2%5E1000%29%5E2%2C+
so 2%2A2%5E%28x%2B1000%29=2%5E54%2C+or+2%5E%28x%2B1001%29+=+2%5E54.
We have x = 54-1001 = -947.
Kenny