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)      (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 
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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. 
  
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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. 
 
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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. 
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Cheers, 
Stan H. 
 
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