Answer to Question #157620 in Algebra for Sajal Abbasi

Question

x^3+8x^2+18x+7=0

Solve for x

Answer 1

#Let's implement sentences numerical method in python

a0 = int(input('Enter the left spacing value: '))

a1 = int(input('Enter the right span value: '))

solve = [a0,a1]

i = True

while i:

x = (solve[0] + solve[1]) / 2

f = x**3 + 8*x**2 + 18*x + 7

if f > 0:

solve[1] = x

print(solve)

if f < 0:

solve[0] = x

print(solve)

if f == 0:

print(x)

i = False

if abs(solve[0] - solve[1]) <= 0.001:

i = False

print(f'{solve}')

#Output:

#Enter the left spacing value: -1000

#Enter the right span value: 1000

#[-1000, 0.0]

#[-500.0, 0.0]

#[-250.0, 0.0]

#[-125.0, 0.0]

#[-62.5, 0.0]

#[-31.25, 0.0]

#[-15.625, 0.0]

#[-7.8125, 0.0]

#[-3.90625, 0.0]

#[-1.953125, 0.0]

#[-0.9765625, 0.0]

#[-0.9765625, -0.48828125]

#[-0.732421875, -0.48828125]

#[-0.6103515625, -0.48828125]

#[-0.54931640625, -0.48828125]

#[-0.518798828125, -0.48828125]

#[-0.5035400390625, -0.48828125]

#[-0.49591064453125, -0.48828125]

#[-0.492095947265625, -0.48828125]

#[-0.4901885986328125, -0.48828125]

#[-0.48923492431640625, -0.48828125]

#[-0.48923492431640625, -0.48828125]

#Answer: take half of our segment -0.488−0.488