SOLUTION: two numbers have a difference of 24. Find the number if the result of adding their sum and their product is a minimum.
Can you please help me out and can you show all the steps
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Can you please help me out and can you show all the steps
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Question 784937: two numbers have a difference of 24. Find the number if the result of adding their sum and their product is a minimum.
Can you please help me out and can you show all the steps it would really help me understand. Thanks so much in advance:) Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! two numbers have a difference of 24.
x - y = 24
or
y = (x-24)
:
Find the number if the result of adding their sum and their product is a minimum.
(x+y) + xy
Replace y with (x-24)
x + x - 24 + x(x-24)
2x - 24 + x^2 - 24x
A quadratic equation
y = x^2 - 22x - 24
:
Minimum occurs at the axis of symmetry,
x =
x = 11,
find y
y = 11 - 24
y = -13
:
The two numbers: 11, -13
