Math, asked by rakeshnager282, 6 days ago

if 3x+5y=11 xy=12 find 9x^2+25y^2

Answers

Answered by poorvigowda47

Answer:

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Step-by-step explanation:

We know that 3x + 5y = 11 and xy = 2 Upon squaring on both sides of the given expression, we get (3x + 5y)2 = 112 (3x)2 + (5y)2 + 2(3x)(5y) = 121 9x2 + 5y2 + 2 (15xy) = 121 (since xy=2) 9x2 + 5y2 + 2(15(2)) = 121 9x2 + 5y2 + 60 = 121 9x2 + 5y2 = 121-60 9x2 + 5y2 = 61

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