Find x/y when x²+6y² = 5xy
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Step-by-step explanation:
Given that,
x2+6y2=9xy
x2+6y2=5xy
⇒x2+6y2−5xy=0
⇒x2−5xy+6y2=0
⇒x2−(3+2)xy+6y2=0
⇒x2−3xy−2xy+6y2=0
⇒x(x−3y)−2y(x−3y)=0
⇒(x−3y)(x−2y)=0
If x−3y=0 then,x=3y,yx=13
If x−2y=0 then,x=2y,yx=12
Hence, this is the answer.
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