Find the minimum value of root asquare+b square, when3a+4b=15

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Solution

3a+4b=15
Assume the minimum values of a and b, which satisfies this equation.
(a,b)=(-1,4),(1,3)
Underoot of a²+b², at (-1,4)=Underoot 17

Underoot of a²+b², at (1,3) =Underoot 10

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