book Maths Puzzle Numerical Ability

the difference of the squares of two consecutive integers is 21. find the integers.

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book Other Question

Please help: If f(x)=ax^2+bx+c has roots 1 and 3 and f(-1)=16 then a=? b=? c=?
Please Please! And if you could please tell me how to solve it, that would be great too! Pleae and write the equation of the given conics in standard form via completion of the square:
1) Y^2-12X-8X+20=0
2) 16X^2-16Y^2-4X-28Y+66=0

THANK YOU