Discriminant Flashcards
1
Q
What is the equation for the discriminant?
A
b^2-4ac
2
Q
How many solutions are there if b^2-4ac > 0
A
There are 2 real solutions
3
Q
How many solutions are there if b^2-4ac = 0
A
There is 1 real solution
4
Q
How many solutions are there if b^2-4ac < 0
A
There are no real solutions
5
Q
What is the graphical interpretation of b^2-4ac < 0
A
No real roots
Graph does not cut x axis
6
Q
What is the graphical interpretation of b^2-4ac = 0
A
One repeated root
Graph touches x axis
7
Q
What is the graphical interpretation of b^2-4ac > 0
A
Two distinct roots
Graph cuts x axis twice
