3.
If x2 + 7y2 = 8xy, then find the value of x : y.
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Answer:
x²+7y²=8xy
or, x²-8xy+7y²=0
or, x²- xy- 7xy+ 7y²=0
or, x(x-y)- 7y(x-y) = 0
or, (x-y)(x-7y)=0
Either x-y = 0 or, x-7y = 0
If x-y = 0,
x = y
x : y= x/y = 1
If x-7y=0, x=7y
x : y = x/y = 7y/y = 7
Hence, x:y is either 1 or 7
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