Results 1 to 2 of 2

Math Help - Functions question

  1. #1
    Junior Member
    Joined
    Feb 2009
    Posts
    30

    Functions question

    Hi, here's a problem that I don't quite understand:

    "The sum of two numbers is 26, the sum of their squares is a minimum. Determine the two numbers."

    How would i model the 2 numbers? Is this correct? X^2 + (26-X)^2 = 0? What does it mean by the sum of their squares is a MINIMUM? What would the equation look like if the sum of their squares was a MAXIMUM?

    Thanks.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Member u2_wa's Avatar
    Joined
    Nov 2008
    Posts
    119
    Quote Originally Posted by demo1 View Post
    Hi, here's a problem that I don't quite understand:

    "The sum of two numbers is 26, the sum of their squares is a minimum. Determine the two numbers."

    How would i model the 2 numbers? Is this correct? X^2 + (26-X)^2 = 0? What does it mean by the sum of their squares is a MINIMUM? What would the equation look like if the sum of their squares was a MAXIMUM?

    Thanks.
    Open this equation:
    x^2 + (26-x)^2
    You will get
    679 + 2x^2 - 52x<br />
, Now you can either take it's derivative and equate it to zero to get the value of x where this function is minimum or express it in the form of a(x-c)^2+d and equate (x-c)=0 and get the value of x i.e c
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Functions Question
    Posted in the Algebra Forum
    Replies: 0
    Last Post: January 21st 2010, 07:04 AM
  2. Replies: 6
    Last Post: October 17th 2009, 08:16 PM
  3. Functions question
    Posted in the Pre-Calculus Forum
    Replies: 4
    Last Post: March 12th 2009, 07:09 PM
  4. Functions question - 2
    Posted in the Pre-Calculus Forum
    Replies: 0
    Last Post: March 12th 2009, 04:35 AM
  5. Question about functions and a identity Question
    Posted in the Trigonometry Forum
    Replies: 2
    Last Post: September 8th 2008, 11:03 PM

Search Tags


/mathhelpforum @mathhelpforum