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If 3x+5y = 11 and xy = 2, find the value of 9x2+25y2 |
Answer» Given that, 3x + 5y = 11 Squaring both sides, we get (3x + 5y)2 = (11)2 (3x)2 + (5y)2 + 2 (3x) (5y) = 121 9x2 + 25y2 + 30xy = 121 9x2 + 25y2 + 30 (2) = 121 9x2 + 25y2 = 121 – 60 9x2 + 25y2 = 61 |
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