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இருபடி பல்லுறுப்புக்கோவை f (x) = x2 - 5x +6 இன் பூஜ்ஜியங்கள் α மற்றும் β என்றால், ( α2β + β2α ) மதிப்பைக் கண்டறியவும்.

  1. 20
  2. 30
  3. 50
  4. 60

Answer (Detailed Solution Below)

Option 2 : 30
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Detailed Solution

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கோட்பாடு:

α மற்றும் β சமன்பாட்டின் மூலங்கள் என்றால்,  ax2 + bx + c =0

மூலங்களின் கூட்டுத்தொகை (α + β) = 

மூலங்களின் தயாரிப்பு (αβ) = 

(x + y)2 = x2 + y2 + 2xy ..

கணக்கீடு:

கொடுக்கப்பட்டவை: f (x) = x2 - 5x + 6

f(x) ஐ ax2 + bx + c =0 உடன் ஒப்பிடுகையில், நம்மிடம் , a = 1 , b= -5 மற்றும் c= 6 உள்ளது.

இப்போது, ​​மூலங்களின் கூட்டுத்தொகை = α + β = =  = 5

மற்றும் மூலங்களின் தயாரிப்பு αβ = = = 6 .

இப்போது, ​​α2β + β2α = αβ ( α+ β ) )

= 6 × 5

= 30

சரியான விருப்பம் 2.  

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