Average of two numbers is 7.5 and square root of their product is 6. What are the numbers?
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Answer is : let x,y be two numbers.
The average of two numbers are (x+y)/2 =7.5.
I.e ( x+y)/2 =15/2.
X+Y =15. ----------(i)
Square of their product is (xy)^2 =6.
Sqrt(6) = 2.45 .
X=2.45/y.
X =49/20y. (In rational). --------(ii)
From (i) &(ii)
(49/20y)+y=15
49+20y^2 =15*20y.
20y^2 - 300y +49 =0
By soving this equation we get the answer
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