Find two positive numbers whose product is 25 and whose sum is a minimum

Question

Question

Find: Smaller number, Larger number

math calculus

Answer 1

Answer #1

xy=25
x=25/y
x+y=Minimum
25/y+y=minimum
take the derivative of the minimum function to get:
-(25/y²)+1

set equal to 0

-(25/y²)+1=0

solve for y

then plug that back in to the original equation to solve for x

answered by: dda

Answer 2

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