If 9x²+25y²=181 and xy=−6, find the value of 3x+5y.

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Solution

As we know that (a+b)²=a²+b²+2ab
(3x+5y)²=9x²+25y²+2×3x×5y
(3x+5y)2=181−180=1
(3x+5y)=√1
so (3x+5y)=1 is Ans.

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