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Among all pairs of numbers (x, y) such that 3x + y = 19, find the pair for which the sum of squares, x2 + y2, is minimum. Write your answers as fractions reduced to lowest terms…

Among all pairs of numbers (x, y) such that 3x + y = 19, 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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Among all pairs of numbers (x, y) such that 3x + y = 19, find the pair for which the sum of squares, x2 + y2, is minimum. Write your answers as fractions reduced to

lowest terms.

asked
User Anatoly E
by
7.6k points

1 Answer

4 votes
x = 19/3, y = 0
(19/3)^2 + 0 = 361/9 = 40.1111...
answered
User Woofmeow
by
7.9k points
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