The Discriminant of the quadratic formula Flashcards

1
Q

What is the discriminant of the quadratic formula?

A

b²-4ac (the bit under the square root)

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2
Q

If the discriminant is >0 then the question will say either…

A
2 x intercepts,
2 distinct roots 
Or
2 real roots 
(The graph touches the x axis in two places)
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3
Q

If the discriminant is =0 then the question will say either…

A
One real root,
One solution,
Repeated roots,
Unique solution,
Or
Equal roots
(The graph touches the x axis only once)
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4
Q

If the discriminant is <0 then the question will say either…

A

No solutions or no real roots

The graph doesn’t touch the x axis at all

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5
Q

If the discriminant is less than or equal to 0 then the question will say…

A

“Real roots” because it’s not clear if there is 2 roots or if there is one
(The graph could touch the x axis twice or it could touch it only once)

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