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AMC / AIME · Quadratics · Hard

Quadratics: math passes through math. Find math.

Factor and complete square.

Try the problem

y=x^2+bx+4

passes through

(2,0)

. Find

b

.

Hint and answer

Concept to use

Parameter ranges.

Hint

Use factoring, Vieta's relations, or the discriminant.

Answer

-4

More Quadratics problems

For how many integers math does math have integer roots?
(Proof track.) Give a complete justification. Find the minimum integer value of math over integer math.
(Proof track.) Give a complete justification. For how many integers math does math have integral roots?

Practice more with the free Quadratics worksheet generator, or browse the full problem library.