Question

P5. Write a python program to solve the following polynomials. (Solving a polynomial means finding the roots of the polynomial) x2 3x 2 0 3x2 x 6-0 x3- 2x2 -x-2 0 Print the roots as x1-?, x2-?, x3-? Are the roots real or imaginary?

In python. Thanks

Answer 1

# p[0] * x**n + p[1] * x**(n-1) + ... + p[n-1]*x + p[n]


import numpy as np
def fun():
k = np.roots(p)
  
for i in range(0,len(k)):
    print('x',i+1," = ",k[i])

print(type(k[0])) #if roots are imaginary then ouput will be complex
# else float as a real number
print()
  
p = (1,3,2)  
fun();  
p = (3,1,6)  
fun();  
p = (1,-2,-1,-2)  
fun();  

output:::-----

x 1  =  -2.0
x 2  =  -1.0
<class 'numpy.float64'>

x 1  =  (-0.16666666666666663+1.4043582955293932j)
x 2  =  (-0.16666666666666663-1.4043582955293932j)
<class 'numpy.complex128'>

x 1  =  (2.6589670819169937+0j)
x 2  =  (-0.3294835409584969+0.8022545575574102j)
x 3  =  (-0.3294835409584969-0.8022545575574102j)
<class 'numpy.complex128'>