var real x0 = (a * f(b) - b * f(a)) / (f(b) - f(a))
var integer iterations = 0
while not_close_to_zero( f(x0) ) do
	if f(a) * f(x0) < 0 then
		b = x0
	else
		a = x0
	
	x0 = (a * f(b) - b * f(a)) / (f(b) - f(a))
	iterations += 1

return x0, f(x0), iterations