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I may not be thinking straight or something, and im having trouble with this question, please help!:

Given that 'p' is real, find the set of values of 'p' for which the roots of:

(2p+1)x^2 - 10x + p-2 = 0

a) Are real

b) Have a sum>5

Im thinking along the lines of: alpha+beta = -b/a and alpha x beta = c/a however I end up with 10/(2p+1) and (p-2)/(2p+1) respectively, which I cant work out simultaneously (2 equations for 3 variables).. Maybe im making something really stupid but please help.

Thanks a lot for all your help.