The polynomial given below has______ roots(s).
4x^2+8x+5
A. one negative and one positive
B. two negative
C. two positive
D. two complex
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OpenStudy (campbell_st):
use the discriminant to determine the nature of the roots
\[\Delta = b^2 - 4ac\]
in your question a = 4, b = 8 and c = 5
the conditions
discriminant > 0 2 real
discriminant = 0 a repeated root
discriminant < 0 2 complex roots
this should help
OpenStudy (anonymous):
i got 16
OpenStudy (campbell_st):
is it positive 16 or negative 16..?
OpenStudy (anonymous):
+
OpenStudy (campbell_st):
I think you need to check it...
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OpenStudy (campbell_st):
\[8^2 - 4 \times 4 \times 5 = \]
OpenStudy (anonymous):
snap -16
OpenStudy (campbell_st):
ok... so go and look at the conditions for the discriminant.... and see what the answer means...
OpenStudy (anonymous):
b?
OpenStudy (anonymous):
because the 16 is -
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OpenStudy (campbell_st):
nope.... go and read my post above about the values for the discriminant....