Find the discriminant and the number of real roots for this equation.
x2 + 2x + 8 = 0
A. 32; one real root
B. –28; no real roots
C. –28; one real root
D. 32; two real roots
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jhonyy9 (jhonyy9):
do you know the formula for discriminant ?
jhonyy9 (jhonyy9):
D = b^2 -4ac
do you know the value of a,b and c ?
OpenStudy (ambermarie151):
Isn't like b2-4ac
jhonyy9 (jhonyy9):
yes this is
OpenStudy (ambermarie151):
A=1 b=2 c=8
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jhonyy9 (jhonyy9):
yes this is correct
jhonyy9 (jhonyy9):
so just yous these value of a ,b and c and calculi the discriminant value
jhonyy9 (jhonyy9):
this is easy courage please
OpenStudy (ambermarie151):
2^2-4(1)(8)
4-32 =28?
jhonyy9 (jhonyy9):
4-32 = ? not 28
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OpenStudy (ambermarie151):
It would be -28 ?
jhonyy9 (jhonyy9):
yes -28 so what is less than zero
do you know the case when the discriminant is less than zero what roots has the quadratic ?
jhonyy9 (jhonyy9):
do you learned it ?
OpenStudy (ambermarie151):
It's would be one real ?
OpenStudy (ambermarie151):
Or because it's negative it would have no real
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jhonyy9 (jhonyy9):
no
there are 3 cases
discriminant let D
D > 0 there are two real ,different roots
D = 0 there are two real equal roots
D < 0 ?
OpenStudy (ambermarie151):
I'm so confused
jhonyy9 (jhonyy9):
yes your last answer is right sure
jhonyy9 (jhonyy9):
so when the discriminant is less than zero so the quadratic have not real roots
ok. ?
OpenStudy (ambermarie151):
Okay
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jhonyy9 (jhonyy9):
Or because it's negative it would have no real
this your answer is right
hope do you understand it now
ok. ?
OpenStudy (ambermarie151):
Yes I do
Thank you !
jhonyy9 (jhonyy9):
welcome
was my pleasure and anytime
good luck
bye bye