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If you see these words
- is a tangent
- cuts at exactly one point
or something similar, then the roots are real and equal so b2 - 4ac = 0.
If you see these words
- does not cut/meet
- lies completely above
- lies completely below
or something similar, then there are no real roots so b2 - 4ac < 0.
If you see these words
- cuts at two points
or something similar, then there are two real and distinct roots so b2 - 4ac > 0.
If you see these word
- cuts (but without indication of any other information)
then it can either cut at one point (real and equal) or two points (real and distinct) so b2 - 4ac >= 0.
- is a tangent
- cuts at exactly one point
or something similar, then the roots are real and equal so b2 - 4ac = 0.
If you see these words
- does not cut/meet
- lies completely above
- lies completely below
or something similar, then there are no real roots so b2 - 4ac < 0.
If you see these words
- cuts at two points
or something similar, then there are two real and distinct roots so b2 - 4ac > 0.
If you see these word
- cuts (but without indication of any other information)
then it can either cut at one point (real and equal) or two points (real and distinct) so b2 - 4ac >= 0.
Date Posted:
5 years ago