Create C code that finds the root of an equation by using the Newton-Raphson Method

f(x)= x^b - a

where a and b are inputted by the user. Please select appropriate thresholds. Print the results to the screen.

Pseudo Code:

1) pick x1 and x2 such that f(x₁) * f(x₂)<0

2) assign x₃= (x₁+x₂)/2

3)check f(x₁)*f(x₃)<0

if true x₂=x₃

else x₁=x₃

4)check |x₁=x₃|< epsilon or f(x₁)*f(x₂)=0

5)profit