SOLUTION: FIND THE TWO NUMBERS, X AND Y WHOSE DIFFERENCE IS 26 WHICH MINIMIZE XY.

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: FIND THE TWO NUMBERS, X AND Y WHOSE DIFFERENCE IS 26 WHICH MINIMIZE XY.      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 161661: FIND THE TWO NUMBERS, X AND Y WHOSE DIFFERENCE IS 26 WHICH MINIMIZE XY.
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
FIND THE TWO NUMBERS, X AND Y WHOSE DIFFERENCE IS 26 WHICH MINIMIZE XY.
-----------------------------
x-y = 26
P = xy (product = xy)
sub for y
y = x-26
P = x*(x-26)
P = x^2 - 26x
Set the 1st derivative = 0
2x - 26 = 0
x = 13
y = -13
Prod = -169
--------------
Try -12 and 14:
Prod = -168
Try -14 and 12:
Prod = -168
Looks good.