Question

if root lies between (2,3), then according to bisection method first iteration will be

Answer 1

Answer:

$2 \times 3 = 6$

Answer 2

The technique is relevant for mathematically tackling the condition f(x) = 0 for the genuine variable x, where f is a ceaseless capacity characterized on a span [a, b] and where f(a) and f(b) have inverse signs.

• For this situation an and b are said to section a root since, by the transitional worth hypothesis, the consistent capacity f should have no less than one root in the span (a, b).
• At each progression the strategy partitions the span in two by processing the midpoint c = (a+b)/2 of the stretch and the worth of the capacity f(c) by then.
• Except if c is itself a root (which is improbable, however conceivable) there are currently just two prospects: either f(a) and f(c) have inverse signs and section a root, or f(c) and f(b) have inverse signs and section a root.
• The strategy chooses the subinterval that is destined to be a section as the new span to be utilized in the subsequent stage.
• In this manner, a stretch that contains a zero of f is decreased in width by half at each progression. The interaction proceeds until the span is adequately little.