Mathematics
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OpenStudy (smarty):
Describe the nature of the roots of the equation 2x^2 + 3x = –3.
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OpenStudy (anonymous):
\[\frac{-b \pm \sqrt{b^2-4ac}}{2a}\]
a=2
b=3
c=3
subtitution and solve
OpenStudy (anonymous):
imaginary numbers
OpenStudy (smarty):
one real root
two real roots
two imaginary roots
cannot be determined
OpenStudy (smarty):
So C? two imaginary roots?
OpenStudy (smarty):
@Nancy_Lam
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OpenStudy (anonymous):
yeah
OpenStudy (smarty):
Thanks~
OpenStudy (smarty):
what about: 7x^2 = 4x + 1.
OpenStudy (smarty):
@sritama
OpenStudy (anonymous):
two imaginary roots
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OpenStudy (smarty):
How can you tell?
OpenStudy (smarty):
For ex: x^2 – 4x + 4 = 0. how would you tell for that one?
OpenStudy (anonymous):
for the 2nd equation it is b
OpenStudy (anonymous):
7x^2 = 4x + 1 , i mean
OpenStudy (smarty):
haha alright what about : x^2 – 4x + 4 = 0
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OpenStudy (anonymous):
two real roots,and they are same
OpenStudy (anonymous):
x^2 – 4x + 4 = 0
(x-2)^2
OpenStudy (anonymous):
all you have to get from the value of \[\sqrt{b^2-4ac}\]
OpenStudy (smarty):
Ohok. thanks!
OpenStudy (smarty):
So the root of hte discriminant.
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OpenStudy (anonymous):
if the value is negatives, roots are imaginary
if positive . roots are real
if 0,roots are real and same
OpenStudy (anonymous):
yeah