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Grade: 11
        
Find x and y:
x^y=y^x   and   x=2y
4 years ago

Answers : (1)

Rinkoo Gupta
askIITians Faculty
80 Points
							
x=2y=> y=x/2 put this value in eq(1)
xy=yx
x(x/2)=(x/2)x
=> x=[(x/2)x]2/x
=> x=(x/2)2
=> x=x2/4
=>4x=x2
=>4x-x2=0
=>x(4-x)=0
=> x=0,4
Thanks & Regards
Rinkoo Gupta
AskIITians Faculty
4 years ago
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