b-এর কোন মানের জন্য দ্বিঘাত সমীকরণ 4x2 + bx + 1 = 0-এর সমান মূল বা বীজ থাকবে?

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RRB Group D 2 Sept 2022 Shift 2 Official Paper
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  1. শুধুমাত্র 4
  2. -8 এবং 8
  3. -4 এবং 4
  4. শুধুমাত্র -4

Answer (Detailed Solution Below)

Option 3 : -4 এবং 4
Free
RRB Group D Full Test 1
100 Qs. 100 Marks 90 Mins

Detailed Solution

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ব্যবহৃত ধারণা:

দ্বিঘাত সমীকরণের সমান মূল থাকলে, বিভেদক শূন্য হবে।

গণনা:

D = 0

অর্থাৎ, (b² - 4ac)

= b² - 4(4)

= b² - 16

এবং

b² - 16 = 0

সুতরাং, b = -4 এবং 4

অতএব, প্রয়োজনীয় মান -4 এবং 4

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