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If x + y = 5 and xy = 6, find the value of x - y. Given that x > y1. 12. 213. -14. 13 |
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Answer» Correct Answer - Option 1 : 1 Given- x + y = 5 xy = 6 Formula Used- (a + b)2 = (a - b)2 + 4ab Calculation- x + y = 5 ⇒ (x + y)2 = 25 ⇒ (x - y)2 + 4xy = 25 ⇒ (x - y)2 = 25 - 4 × 6 ⇒ (x - y)2 = 1 ⇒ x - y = 1 [∵ x > y] ∴ The value of x - y is 1 |
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