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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