Problem

1996 AHSME Problem 25

Given that x^2 + y^2 = 14x + 6y + 6, what is the largest possible value that 3x + 4y can have?

\text{(A)}\ 72\qquad\text{(B)}\ 73\qquad\text{(C)}\ 74\qquad\text{(D)}\ 75\qquad\text{(E)}\ 76

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.


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Category: AHSME
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