SOLUTION: Among all pairs of numbers (x,y) such that 4x+2y=24, find the pair for which the sum of squares, x2+y2, is minimum. Write your answers as fractions reduced to lowest terms.
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Question 1146085: Among all pairs of numbers (x,y) such that 4x+2y=24, find the pair for which the sum of squares, x2+y2, is minimum. Write your answers as fractions reduced to lowest terms.
Answer by greenestamps(13198) (Show Source): You can put this solution on YOUR website!
Solve the linear equation for one of the variables.
Substitute
The minimum value of a quadratic function is when x = -b/2a = 48/10 = 24/5.
ANSWERS: x = 24/5; y = 12/5
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