x இன் முழுக்களின் மதிப்புகளின் கூட்டுத்தொகை x2/3 + x1/3 = 2 என்பது:

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RRC Group D Previous Paper 5 (Held On: 23 Sep 2018 Shift 1)
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  1. -3
  2. 7
  3. -7
  4. 3

Answer (Detailed Solution Below)

Option 3 : -7
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பயன்படுத்தப்பட்ட சூத்திரம்:

(a + b)3 = a3 + b3 + 3ab(a + b)

கணக்கீடு:

⇒ x2/3 + x1/3 = 2

⇒ (x2/3 + x1/3)3 = 23

⇒ x2 + x + 3x(x2/3 + x1/3) = 8

⇒ x2 + 7x - 8 = 0

⇒ x2 + 8x - x - 8 = 0

⇒ x (x + 8) - 1 (x + 8) = 0

⇒ x = - 8 or x = 1

x இன் மதிப்புகளின் கூட்டுத்தொகை. = -8 + 1 = - 7
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