What is the possible discriminant of the graph? –13 0 15 16
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OpenStudy (anonymous):
|dw:1336344407258:dw|
OpenStudy (anonymous):
(-7,0) and (-3,0)
OpenStudy (anonymous):
plz i need the answer my time is almost over and this is the only that i need
OpenStudy (asnaseer):
for a standard quadratic equation:\[ax^2+bx+c=0\]do you know what the discriminant is?
OpenStudy (anonymous):
I dont get it very well plz i just need the abswer this time im thinking but my time is almost over
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OpenStudy (asnaseer):
the discriminant is defined as:\[b^2-4ac\]in your case you are given that the graph intersects the x-axis at (-7,0) and (-3,0). so you know the roots of the quadratic must be x=-7 and x=-3, which means it can be written as:\[(x+7)(x+3)=0\]
OpenStudy (asnaseer):
if you expand this out you get:\[x^2+10x+21=0\]so now you know:
a = 1
b = 10
c = 21
plug those values into the formula for the discrimant
OpenStudy (anonymous):
thank you so much
OpenStudy (asnaseer):
yw
OpenStudy (anonymous):
is 16 right?
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