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If x-2y=3 and xy=5, find the value of xsquare-4ysquare |
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Answer» x² + 4y² = 29 Step-by-step explanation: given, x-2Y=3 and xy=5, to FIND x²-4y², take, x - 2y = 3 squaring on both sides, we get (x - 2y)² = 3² => x² + (2y)² - 2(x)(2y) = 9 => x² + 4y² - 4(xy) = 9 => x² + 4y² = 9 + 4(xy) => x² + 4y² = 9 + 4(5) (given) => x² + 4y² = 9 + 20 => x² + 4y² = 29 |
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