Quadratics Flashcards
1
Q
What is the discriminant
A
b^2-4ac
2
Q
What does it mean when a quadratic has two real distinct roots
A
It means that b^2-4ac > 0
3
Q
What does it mean when a quadratic has equal roots
A
It means that b^2-4ac = 0
4
Q
What does it mean when a quadratic has no real roots
A
It means that b^2-4ac < 0
5
Q
How is the range of a positive discriminant laid out
A
k < a, k > b
Where a < b
6
Q
How is the range of a negative discriminant laid out
A
a < k < b
Where a < b
7
Q
What are the possible values of the discriminant for the quadratic kx^2+4x+(5-k) = 0 where the quadratic has two real solutions
A
k < 1, k > 4
k^2 - 5k + 4 > 0
