If 6x2 + 6y2 = 13xy, what is the ratio of x to y?
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Step-by-step explanation:
Since 6X2 + 6Y2 = 13 xy
=> 6X2 / XY + 6Y2/XY =13
=> 6 X/Y + 6 Y/X =13
Lets assume X/Y =t , in order to solve above equation.
Hence, 6t + 6/t =13
=> 6t2 + 6 =13t
=> 6t2 -13t +6 =0
=> 6t2 -9t - 4t +6 =0
=> (2t-3) (3t-2) =0
2t-3 = 0
t= 3/2
Since t = X/Y = 3/2
Hence, answer will be 3:2
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