Solve the equation \(f(x)=0\) using false position method, also known as the Secant method.
First, multiple intervals are selected with the interval gap provided. Separate recursive function called for every root. Roots are printed Separatelt.
For an interval [a,b] \(a\) and \(b\) such that \(f(a)<0\) and \(f(b)>0\), then the \((i+1)^\text{th}\) approximation is given by:
\[x_{i+1} = \frac{a_i\cdot f(b_i) - b_i\cdot f(a_i)}{f(b_i) - f(a_i)} \]
For the next iteration, the interval is selected as: \([a,x]\) if \(x>0\) or \([x,b]\) if \(x<0\). The Process is continued till a close enough approximation is achieved.
Definition in file false_position.cpp.
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