Question

Use Bisection and Newton Raphson methods to find roof for the following equation manually.

F(x)=x^2 – 5 = 0

ε = 0.01

Answer 1

In bisection method, Firstly, two initial values are assumed. They should be assumed in such a way that, function values of these to points should be opposite in sign (i.e, f(a0) = +ve , f(b0)= -ve or f(a0) = -ve , f(b0)= +ve).

Root always lies between those points, whose function values are opposite in sign.

Mid point (c0) of the assumed values is calculated and based on its function value's sign, the next range is judged.

Always remember, Root lies between those points, whose function values are opposite in sign.

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