Find the value of sqrt(12 + sqrt(12 + sqrt(12 + … infinity))).
A3
B4
C5
D6
Explanation
x = sqrt(12 + x) => x^2 – x – 12 = 0 => (x – 4)(x + 3) = 0 => x = 4.
Exam Relevance
- Topic: Algebra
- Subtopic: Infinite Series
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