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Which country’s Olympiad was this ? What year ? Please include this info
Given x+y =10 and xy =100(x-y)^2=(x+y)^2-4xy (x-y)=10√3 ISolve for x and y Adding x+y and x-y,you get2x=10+10√3 ix=5+5√3 i Subtracting gives2y=10-10√3 i y=5-5√3 i
No way that’s an Olympiad problem. Simple quadratic equation, no tricks.
Which country’s Olympiad was this ? What year ? Please include this info
Given x+y =10 and xy =100
(x-y)^2=(x+y)^2-4xy
(x-y)=10√3 I
Solve for x and y
Adding x+y and x-y,you get
2x=10+10√3 i
x=5+5√3 i
Subtracting gives
2y=10-10√3 i
y=5-5√3 i
No way that’s an Olympiad problem. Simple quadratic equation, no tricks.