Posted by
**Sean** on
.

x^2+x-k

find all positive values for k, if it can be factored

Allowed values of k for for the expression to be factorable with integers are

a*(a+1)

where a is an integer equal to 1 or more.

For example: 2, 6, 12, 20...

The factors are

(x-a)(x+a+1)

There are also real non-integer values of k that allow factrs, as long as 1+4k >0