SOLUTION: When the discriminant is positive, or b2 - 4ac > 0, expect ___ root(s). Use cardinal numbers (0,1,2,...) to fill in the blank. When the discriminant equals zero, or b2 - 4ac

Algebra ->  Rational-functions -> SOLUTION: When the discriminant is positive, or b2 - 4ac > 0, expect ___ root(s). Use cardinal numbers (0,1,2,...) to fill in the blank. When the discriminant equals zero, or b2 - 4ac       Log On


   



Question 84118: When the discriminant is positive, or b2 - 4ac > 0, expect ___ root(s). Use cardinal numbers (0,1,2,...) to fill in the blank.

When the discriminant equals zero, or b2 - 4ac = 0, expect ___ root(s). Use cardinal numbers (0,1,2,...) to fill in the blank.
When the discriminant is negative, or b2 - 4ac < 0, expect ___ root(s). Use cardinal numbers (0,1,2,...) to fill in the blank.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
When the discriminant is positive, or b2 - 4ac > 0, expect 2 unequal root(s). Use cardinal numbers (0,1,2,...) to fill in the blank
--------------------.
When the discriminant equals zero, or b2 - 4ac = 0, expect 2 equal root(s). Use cardinal numbers (0,1,2,...) to fill in the blank.

---------------
When the discriminant is negative, or b2 - 4ac < 0, expect 2 complex root(s). Use cardinal numbers (0,1,2,...) to fill in the blank.
======================
Comment: These are ambiguous questions. The answers could be 2,1,0 also;
it depends on what you accept as a root. In general a quadratic always has
2 roots. They may be Real and unequal, Real and equal, or Complex and unequal.
=========================
Cheers,
Stan H.