Question

If 6×2 + 6y2 = 13xy, what is the ratio of x to y?

Answer 1

Since 6X2 + 6Y2 = 13 xy

-- 6X2 / XY + 6Y2/XY =13

---> 6 X/Y + 6 Y/X =13

6a + 6/a =13

---> 6a2 + 6 =13a

---> 6a2 -13a +6 =0

---> 6a2 -9a - 4a +6 =0

---> (2a-3) (3a-2) =0

2a-3 = 0

a= 3/2

So the Ratio will be = 3:2