If x = √3, then the value of x⁴ + 1/x⁴ is || ADRE 1.0 SLRC 2022 PAPER-III SOLVED QUESTIONS

If x = √3, then the value of x4 + 1/x4 is:

(A) 9 +1/9

(B) 2 +1/9

(C) 9 +1/2

(D) 1/9





Solution:

Given x = √3, calculate x4 and 1/x4:

  • x4 = (√3)4 = 9
  • 1/x4 = 1/9

Therefore, x4 + 1/x4 = 9 + 1/9

So, the answer is (A) 9 +1/9.


Importance:

  • Conceptual Clarity: Demonstrates application of exponentiation and reciprocals with square roots.
  • Exam Relevance: Featured in ADRE's SLRC-2022 Paper III, emphasizing its significance in competitive exams.
  • Skill Development: Improves calculation skills and understanding of numerical relationships in mathematics.


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