যদি a2 - b2 = 88, a - b = 4 হয় তবে ab এর মান নির্ণয়  করুন।

  1. 88
  2. 2√26
  3. 117
  4. 22

Answer (Detailed Solution Below)

Option 3 : 117
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Detailed Solution

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প্রদত্ত:

a 2 - b 2 = 88

a - b = 4

অনুসৃত সূত্র :

a 2 - b 2 = (a - b) (a + b)

গণনা:

a - b = 4      ----(1)

(a - b)(a + b) = 88

⇒ 4 × (a + b) = 88

⇒ a + b = 88/4

⇒ a + b = 22      ----(2)

সমীকরণ (1) এবং সমীকরণ (2) যুক্ত করে আমরা পাই

⇒ a - b + a + b = 4 + 22

2a = 26

⇒ a = 13

a এর মান সমীকরণ (2) এ বসিয়ে পাই 

13 + b = 22

⇒ b = 9

ab এর মান = 13 × 9

⇒ ab = 117

Ab এর মান 117

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