exam Maths Puzzle Numerical Ability

Can someone please help me I don't understand it....

Directions: Find all positive values for K for which each of the following can be factored.

Problem#1

x^2 + x - k

D

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exam Other Question

Find the length of the indicated side of triangle PQR.

1. The measure of Q= 90, measure of P=53 QR= 197, PR=? (find what PR equals)

I just need an equation to solve this using trig. How do you use the distributive property?