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If s(a) denotes square root of a, find the value of s(12+s(12+s(12+ ...... upto infinity?
Answer:
4 Explanation :
Let x = s(12+s(12+s(12+..... )
We can write x = s(12+x). i.e., x^2 = 12 + x. Solving this quadratic equation, we get x = -3 or x=4. Sum cannot be -ve and hence sum = 4.
Let x = s(12+s(12+s(12+..... )
We can write x = s(12+x). i.e., x^2 = 12 + x. Solving this quadratic equation, we get x = -3 or x=4. Sum cannot be -ve and hence sum = 4.
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