Math Quiz and Solver: The Solution of Two Square plus Two Minus Square

Sunday, September 25, 2016

The Solution of Two Square plus Two Minus Square

Problem
Jika 2^x+2^-x=5, berapakah nilai 2^2x+2^-2x=...

Solution

2^x+2^-x	=	5
[2^x+2^-x]²	=	5²	make it square
[2^x+2^-x].[2^x+2^-x]	=	5²
2^x.2^x+2^x.2^-x+2^-x.2^x+2^-x.2^-x	=	25
2^2x+2.2^x.2^-x+2^-2x	=	25
2^2x+2.2^x+(-x)+2^-2x	=	25
2^2x+2.2⁰+2^-2x	=	25
2^2x+2.1+2^-2x	=	25
2^2x+2+2^-2x	=	25
2^2x+2^-2x	=	25-2
2^2x+2^-2x	=	23

So the solution is 2^2x+2^-2x=23

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