Nature of Roots Flashcards
1
Q
The roots of a quadratic equation can be…?
A
- real/non-real
- rational/irrational
- equal (two equal solutions) or unequal (two different solutions)
2
Q
What is delta?
A
Δ = b2 - 4ac
3
Q
If Δ is positive or zero, roots = ?
A
Real
4
Q
If Δ is negative, roots = ?
A
Non-real
5
Q
If Δ is a perfect square, roots = ?
A
Rational
6
Q
If Δ is not a perfect square, roots = ?
A
irrational
7
Q
If Δ is zero, roots= ?
A
Equal (1 solution)
8
Q
If Δ is not zero (positive), roots = ?
A
Unequal (2 solutions)
9
Q
How to figure out a ‘find delta/k’ question in the context of nature of roots?
A
- Sub in a / b / c into b2 - 4ac
