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3x2+ 5x + 3 = 0 என்ற சமன்பாட்டின் மூலங்களின் தன்மையைக் கண்டறிக. 

This question was previously asked in
UP Police SI (दरोगा) Previous Paper 1 (Held On: 12 Dec 2017 Shift 2)
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  1. மெய் மற்றும் கற்பனை 
  2. கற்பனை 
  3. மெய் மற்றும் சமமற்றவை 
  4. மெய் மற்றும் சமமானவை 

Answer (Detailed Solution Below)

Option 2 : கற்பனை 
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Detailed Solution

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கொடுக்கப்பட்டுள்ளவை:

சமன்பாடு 3x2 + 5x + 3 = 0

கோட்பாடு:

பண்புக்காட்டி சூத்திரத்தைப் பயன்படுத்திட, D = b2 - 4ac

விளக்கம்:

 D = b2 - 4ac

D ≥ 0 எனில், சமன்பாட்டின் மூலங்கள் மெய்யானவை. 

D 

இதில்,

3x2 + 5x + 3 = 0

a = 3, b = 5, c = 3

⇒ D = 52 - (4 × 3 × 3) = -11

∴ D மெய்யானவை.

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