GATE | GATE-CS-2014-(Set-2) | Question 50

Consider the following function

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double f(double x){
  if (abs(x*x - 3) < 0.01) return x;
  else return f(x/2 + 1.5/x);
}

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Give a value q (to 2 decimals) such that f(q) will return q:_____.

(A) 1.73
(B) 2.24
(C) 4.22
(D) 3.42


Answer: (A)

Explanation: anil_ds_50
anil_ds_50_1

This solution is contributed by Anil Saikrishna Devarasetty

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Another One:
The main thing to note is the expression “abs(x*x – 3) < 0.01″ inside the if condition. The function would return x when x2 is close to 0 (smaller than 0.01) which means when x is close to square root of 3. Square root of 3 is 1.732.–>

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