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The difference between two digits is 8. Find the value of the two digits if their product is to be maximum

The difference between two digits is 8. Find the value of the two digits if their product is to be maximum

Answers


Raphael
Let the number be xy

x - y = 9

Product of x and y = x(x - 8)

P =x2 - 8

$\frac{dp}{dx}=2x - 8$

For p max

$\frac{dp}{dx}=0$

i.e. 2x - 8 = 0

x = 4

y = -4
raphael answered the question on January 16, 2017 at 12:23

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