What is the possible discriminant of the graph?
–11
0
25
73
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OpenStudy (anonymous):
OpenStudy (anonymous):
The discriminant is that part of the quadratic that looks like b^2 - 4ac.
You know that part, right?
OpenStudy (anonymous):
yes. i think so
OpenStudy (anonymous):
*that part of the quadratic formula . . .
OpenStudy (anonymous):
ok, so think about the possible solutions you could get if the discriminant were positive, negative, zero; a perfect square, not a perfect square . . .
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OpenStudy (anonymous):
im so lost
jimthompson5910 (jim_thompson5910):
Hint:
If the graph has 0 x-intercepts, then the discriminant is negative
If the graph has exactly 1 x-intercept, then the discriminant is 0
If the graph has exactly 2 x-intercepts, then the discriminant is positive
OpenStudy (anonymous):
^ that should eliminate two of the choices.
OpenStudy (anonymous):
so 25?
OpenStudy (anonymous):
I doubt it with those roots . . .
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OpenStudy (anonymous):
well 73 or 0 dont have any
jimthompson5910 (jim_thompson5910):
It can't be 25 because the roots look irrational (ie can't be represented by fractions)
OpenStudy (anonymous):
so 0
jimthompson5910 (jim_thompson5910):
Another rule is this:
If the discriminant is a perfect square, then the roots will be rational and can be expressed as fractions
If the discriminant is not a perfect square, then the roots will be irrational and can't be expressed as fractions