SOLUTION: The difference of two numbers is 18. Find the numbers such that their product is a minimum.

Algebra ->  Algebra  -> Customizable Word Problem Solvers  -> Evaluation -> SOLUTION: The difference of two numbers is 18. Find the numbers such that their product is a minimum.      Log On

 Ad: Over 600 Algebra Word Problems at edhelper.com Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations! Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

 Word Problems: Evaluation, Substitution Solvers Lessons Answers archive Quiz In Depth

 Click here to see ALL problems on Evaluation Word Problems Question 437416: The difference of two numbers is 18. Find the numbers such that their product is a minimum.Answer by stanbon(57219)   (Show Source): You can put this solution on YOUR website!The difference of two numbers is 18. Find the numbers such that their product is a minimum. --------------------- x-y = 18 ------------------ product = xy --- y = x-18 -- Substitute and determine minimum product. ---- P = x(x-18) P = x^2-18x --- Minimum occurs when x = -b/(2a) = 18/(2) = 9 y = x-18 y = 9-18 = -9 ----- Minimum product is xy = 9*-9 = -81 ===================================== Cheers, Stan H. ==========