exam Maths Puzzle Numerical Ability

Find all positive values for k for which each of the following can be factored.

x^2 + x - k

I am having trouble with this problem and need some help. Thanks.

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exam Other Question
Help with another
a) find the distance between the points (-1,2) and (3,-4)
B) find the midpoint of the line segment joining the points (-1,2) and (3,-4)
part 2
find the equati Find the exact value of sin 165°.

Thank You