9514 1404 393
Answer:
- discriminant: -23
- 2 complex solutions
Explanation:
Compare the equations ...
ax² +bx +c = 0
x² -x +6 = 0
and you can see that the values of a, b, c are ...
a = 1, b = -1, c = 6
Putting these values into the expression for the discriminant, ...
d = b² -4ac
we have ...
d = (-1)² -4(1)(6) = 1 -24 = -23
The discriminant is -23.
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The interpretation of the discriminant is ...
negative -- 2 complex solutions
zero -- one real solution
positive -- 2 real solutions
Here, the discriminant is negative, so ...
The equation has 2 complex solutions.