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Quadratics: (Proof track.) Give a complete justification. For how many integers math does math have integral roots?

Factor and complete square.

Try the problem

**(Proof track.)** Give a complete justification. For how many integers kk does x2+kx+20=0x^2+kx+20=0 have integral roots?

Hint and answer

Concept to use

Symmetric systems.

Hint

Use root relations and discriminants, while justifying any domain restriction.

Answer

6

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