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Math Questions

OinkBoink

Senior member
Try a few of these.


1.) D=a^2+b^2+c^2

'a' and 'b' are consecutive natural numbers.

c=ab

prove that D^1/2 is an odd number.

2.)This one is sort of easy

x^x^x^x^x........till infinity=2

Find the value of x.

3.)This is really easy

If 'a' and 'b' are the legs of a right triangle and 'c' is the hypotenuse then find
the value of:

log(c-b)+log(c+b) (each with base 'a')

 
1 is pretty easy.. clearly D is a perfect sqaure, and it follows pretty much immediately that D is odd by the choice of a,b,c

3 is also very simple.. use a log rule and simplify

2 is something I don't have much interest in.
 
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