22x - 10 × 2x + 16 = 0 இன் மூலங்கள் என்ன ?

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RRB Group D 19 Sept 2022 Shift 3 Official Paper
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  1. 1, 3
  2. 1, 8
  3. 2, 8
  4. 2, 3

Answer (Detailed Solution Below)

Option 1 : 1, 3
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கொடுக்கப்பட்டது:

22x - 10 × 2x + 16 = 0

கணக்கீடு:

காரணிகளை உருவாக்க நடு உறுப்புகளை பிரித்தல்,

⇒ 22x – 8.2x – 2.2x + 16 = 0

⇒ 2x (2x – 8) – 2(2x – 8) = 0

⇒ (2x – 2)(2x – 8) = 0

இப்போது, நம்மிடம் 2x = 2 மற்றும் 2x = 8 உள்ளது

⇒ 2x = 21 மற்றும் 2x = 23

இரண்டு மதிப்புகளையும் ஒப்பிடுகையில், x = 1 அல்லது x = 3 கிடைக்கும்.

எனவே, சமன்பாட்டின் மூலங்கள் 1 மற்றும் 3 ஆகும்.

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