David schreef:
Hello everybody,

I recently came across a book by Prof. Langtangen: Indroduction to Computer Programming: http://folk.uio.no/hpl/INF1100/INF1100-ebook-Aug08.pdf

I am trying to solve exercise 1.18 ("Why does the following program not work correctly?"), but I don't find the mistake: why does the line

q = sqrt(b*b - 4*a*c)

cause an error? I was playing around with the code, but got nowhere.

Here the entire code:

a = 2; b = 1; c = 2
from math import sqrt
q = sqrt(b*b - 4*a*c)
x1 = (-b + q)/2*a
x2 = (-b - q)/2*a
print x1, x2


Many thanks for a pointer!

Apart from the problem of taking the square root of a negative number, there is another problem in the code in the book: to calculate the roots of a * x**2 + b*x + c, there should be parentheses around 2*a in the calculation of x1 and x2:

x1 = (-b + q)/(2*a)
x2 = (-b - q)/(2*a)

Otherwise the code multiplies by a instead while it should instead divide by a.

--
The saddest aspect of life right now is that science gathers knowledge
faster than society gathers wisdom.
  -- Isaac Asimov

Roel Schroeven

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