SOLUTION: among all pairs of numbers (x,y) such that 4x+y=11 find the pair for which the sum of squares x^2+y^2 is minimum. Write your answer as fractions reduced to the lowest terms
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Question 944534: among all pairs of numbers (x,y) such that 4x+y=11 find the pair for which the sum of squares x^2+y^2 is minimum. Write your answer as fractions reduced to the lowest terms Answer by Fombitz(32388) (Show Source):
You can put this solution on YOUR website! Let's call the function .
Since you know the relationship between and , you can make a function of one variable.
So then,
To find an extremum, take the derivative and set it equal to zero.
You could also convert to vertex form by completing the square.
Then,
