Quadratics Flashcards

1
Q

how to prove that a curve has real, distinct roots

A

b^2 -4ac>0

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2
Q

prove that a curve has 1 real root

A

b^2 -4ac=0

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3
Q

prove a curve has no real distinct roots

A

b^2 -4ac<0

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4
Q

what is the discriminant and where does it come from

A

b^2-4ac

comes from quadratic equation

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5
Q

Roots of a quadratic equation

A

α and β
α + β= -b/a
αβ= c/a

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