Plz answer Tomorrow IMO EXAM
25th question
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and the answer is 25
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Option ( c ) is correct.
Explanation :
Given
log (x-y) - log5 -(1/2)logx-(1/2)logy=0
multiply each term by 2 , we get
=> 2log(x-y) - 2log5 - logx - log y = 0
=> 2 log(x-y) = 2log5+logx+logy
=> log(x-y)² = log5² + logx + logy
=> log(x-y)² = log ( 5²xy )
=> ( x - y )² = 25xy
=> x² - 2xy + y² = 25xy
=> x² + y² = 25xy + 2xy
=> x² + y² = 27xy
Divide each term by xy, we get
=> x²/xy + y²/xy = 27xy/xy
=> x/y + y/x = 27
•••••
=>
Explanation :
Given
log (x-y) - log5 -(1/2)logx-(1/2)logy=0
multiply each term by 2 , we get
=> 2log(x-y) - 2log5 - logx - log y = 0
=> 2 log(x-y) = 2log5+logx+logy
=> log(x-y)² = log5² + logx + logy
=> log(x-y)² = log ( 5²xy )
=> ( x - y )² = 25xy
=> x² - 2xy + y² = 25xy
=> x² + y² = 25xy + 2xy
=> x² + y² = 27xy
Divide each term by xy, we get
=> x²/xy + y²/xy = 27xy/xy
=> x/y + y/x = 27
•••••
=>
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