A
What is known when b2 - 4ac > 0?
2 real solutions
What is known when b2 - 4ac = 0?
1 real root or zero
Simplify.
32 - 4(1)(2)
1
If a = -5, b = 3, and
c = 1, then b2 - 4ac = ?
29
Given x2 + 6x + 9 = 0, find the value of the discriminant.
0
What is known when b2 - 4ac < 0?
2 imaginary (or complex) roots
Provide a value for the discriminant when there are 2 real roots.
any number > 0
Simplify.
(-3)2 - 4(3)(4)
-39
If a = 3, b = 1, and
c = -5, then b2 - 4ac = ?
61
Given 4x2 + 6x + 9 = 0, find the value of the discriminant.
-78
Provide a value for the discriminant when there are 2 imaginary roots.
any number < 0
Where is the discriminant found in the quadratic formula?
under the square root
Simplify.
(2)2 - 4(-1)(2)
12
If a = 1, b = -5, and
c = 3, then b2 - 4ac = ?
13
Given 2x2 = 18, find the value of the discriminant.
-144
What is the discriminant formula?
b2 - 4ac
What is the purpose of the discriminant?
To determine the number and type of solutions for a quadratic
Simplify.
(5)2 - 4(-9)(-7)
-227
If a = -1, b = 3, and
c = -5, then b2 - 4ac = ?
-11
Given 5x2 + 6x - 3 = 0, find the value of the discriminant.
96
find the value of the discriminant OF
−9 n2 − 6n − 1 = 0
0
If b = 4 and c = -3, what is a possible value for a if the quadratic has 2 real roots?
A value of a such that a > -4/3
Simplify.
(-9)2 - 4(9)(2/3)
57
If a = 2, b = 4, and
c = 8, then b2 - 4ac = ?
-48
Given 5x2 - 3x + 4 = 0, find the value of the discriminant.
-71