two positive numbers xand y satisfy the condition 4x^2 +25y^2=20xy find x:y

Dear Student

given equation 4x2 +25y2=20xy4x2 +25y2-20xy=0  we know (a-b)2= a2 +b2-2abso (2x-5y)2= 4x2 +25y2-20xyso (2x-5y)2=02x- 5y=02x=5yxy=52
x : y = 5 : 2
Regards

 

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