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If a2 + b2 = 41 and ab = 20, then (a + b) ÷ (a – b) = ______.1. 92. 53. 74. 13 |
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Answer» Correct Answer - Option 1 : 9 Concept: (a + b)2 = a2 + b2 + 2ab (a - b)2 = a2 + b2 - 2ab Calculation: Given: a2 + b2 = 41 and ab = 20 (a + b)2 = 41 + (2 × 20) = 81 \((a + b) = \sqrt {81}\) (a + b) = 9 (a - b)2 = 41 - (2 × 20) = 1 (a - b) = 1 \((a + b) ÷ (a – b) = \frac{(a+b)}{(a-b)}=\frac{9}{1}=9\) |
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