The Discriminant Flashcards
What, where, when etc
I have a linear function and a quadratic function. The discriminant of them is = 0. What does this mean?
They intersect at one point
What is the discriminant of ax^2+bx+c=0?
b^2-4ac
If my function has 2 real roots the discriminant will be:
The discriminant > 0
I have a linear function and a quadratic function. The discriminant of them is > 0. What does this mean?
They intersect at 2 different points
What is the value of b in the quadratic 4x^2 - 3 + 4x = 0
4
If my function has 0 real roots the discriminant will be:
The discriminant < 0
If a function has 2 equal roots, the discriminant will be…
=0
What is the value of c in the quadratic 5x^3 - 2x = 7
-7
If my function has 1 real root the discriminant will be:
The discriminant = 0
I have a linear function and a quadratic function. The discriminant of them is < 0. What does this mean?
They do not intersect