SOLUTION: ind two numbers whose sum is 14 such that the sum of their squares is a minimum. (If a solution has a multiplicity of two, enter it in consecutive answer boxes.) (smaller value)

Question 942754: ind two numbers whose sum is 14 such that the sum of their squares is a minimum. (If a solution has a multiplicity of two, enter it in consecutive answer boxes.)
(smaller value)
(larger value)
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Answer by josgarithmetic(39630) (Show Source): You can put this solution on YOUR website!
x^2+y^2=f(something), naming a function.
and
x+y=14

The minimum of f is the vertex, and just the quadratic factor part is needed for this. Factorable?

98=2*59, maybe not factorable.

Completing the Square to put into standard form,

The vertex, a minimum point, is (7, 49).
The value for x is 7, so this means, according to the given description, y is also 7.
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