*Discriminant formula
a
c
*Plug in values found above for
, b, and
*Discriminant
Since the discriminate is a negative number, that means there are
two distinct complex imaginary solutions.
Example 13
: Find the discriminant. Based on the discriminate,
indicate how many and what type of solutions there would be.
Step 1:
Simplify
each side if needed.
This quadratic equation is already simplified.
Step 2:
Write in standard form,
, if needed.
*Inverse of sub. 16 is add. 16
*Quad. eq. in standard form
Step 3:
Identify a, b, and
c.
a,
x
the number in front of
squared, is 1.
b
x
, the number in front of
, is -8.
c
, the constant, is 16.
Make sure that you keep the sign that is in front of each of these
10