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The bisection method is applied to f(x) = x² − 2 on the interval [1, 2]. After the first iteration, the new interval is

1543Medium DSSSB TGT Computer Science 0 replies

The bisection method is applied to f(x) = x² − 2 on the interval [1, 2]. After the first iteration, the new interval is

  • A[1, 1.25]
  • B[1.5, 2]
  • C[1.25, 1.5]
  • D[1, 1.5]
Correct answer: D

Explanation

The midpoint is 1.5 and f(1.5) = 0.25 > 0 while f(1) = −1 < 0, so the root lies in [1, 1.5].
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