Use Bisection and Newton Raphson methods to find roof for the following equation manually. F(x)=x^2 –...

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

F(x)=x^2 – 5 = 0

ε = 0.01

Solutions

Expert Solution

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.

I hope the solution is clear.

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Ally Wells answered 4 months ago

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