exam Maths Puzzle Numerical Ability

Given (k+2) x^2 + (k-17)+8=0 Determine the value of k so that (a) the sum of the roots is 0, and (b) the product of the roots is -2.

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I am in need of some help
Sqaure root y+9=1
and Simplify Square root 1/5
Thank you
term 1 2 3 4 ... n
value 1 3 6 10 ..
What is the formula for this puzzle?????