Question

The sum of two positive numbers is 20% of the sum of the squares of both the numbers and different 25% of the two numbers. If both numbers are x and y, then x + y / x ^ 2 =​

Answer 1

Step-by-step explanation:

Let the ture positive numbers be x,(x,y>0)

x+y=20 - Given

We need to maximise x2y3

x=20−y

f(y)=y3(20−y)2

for minimum 

f′(y)=0

3y2(20−y)2+y32(20−y)(−1)=0

3y2(20−y)2−2y3(20−y)=0

y2(20−y)(3(20−y)−2y)=0

60−3y−2y=0            y is not equal 0&y is also not equal 20

y=12                               if y=20 then x=0 which does not 

x=8                                    make the x2y3 maximum