1lab

def function(x):
    return 0.93*x**5 - 0.71*x**4 - 0.53*x**3 + 2.1*x**2 - 10.5


def dichotomy(a, b, count):
    c = (a + b)/2
    if count == 0 or abs(function(c)) < 0.0001:
        return c
    else:
        if function(a)*function(c) < 0:
            return dichotomy(a, c, count - 1)
        if function(a)*function(c) > 0:
            return dichotomy(c, b, count - 1)


start = 0
end = 10
n = 20
key = 1
while key:                              #interval check
    sign = function(start) * function(end)
    if sign > 0:
        print("May be you haven't root. Please change 'start' and 'end'")
        start = int(input())
        end = int(input())
    sign = function(start) * function(end)
    if sign < 0:
            key = 0
X = dichotomy(start, end, n)
print('root = ', X)
print('function = ', function(X))