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Algebra 18 Online
OpenStudy (anonymous):

What is the nature of the roots of the equation 4n2 + 8n = -7?

OpenStudy (anonymous):

@phi

OpenStudy (anonymous):

@karatechopper

OpenStudy (anonymous):

1.two imaginary roots 2.one real, irrational root 3.one real, rational root 4.two real, irrational roots

OpenStudy (anonymous):

@jim_thompson5910

jimthompson5910 (jim_thompson5910):

Hint: use the discriminant formula D = b^2 - 4ac

jimthompson5910 (jim_thompson5910):

in this case, a = 4, b = 8 and c = 7

OpenStudy (anonymous):

thanks :)

jimthompson5910 (jim_thompson5910):

np

OpenStudy (anonymous):

wait how do i tell what answer it is

jimthompson5910 (jim_thompson5910):

what value did you get for the discriminant D

OpenStudy (anonymous):

i got -48

jimthompson5910 (jim_thompson5910):

it's negative, so you have no real solutions (ie you have 2 imaginary solutions)

jimthompson5910 (jim_thompson5910):

if it were 0, then you'd only have one real solution

jimthompson5910 (jim_thompson5910):

if it were positive and not a perfect square, then you would have 2 irrational solutions if it were positive and a perfect square, then you would have 2 rational solutions

OpenStudy (anonymous):

is it 2.?

jimthompson5910 (jim_thompson5910):

check through what I said above

OpenStudy (anonymous):

i did. So its 1. right? because its has no real solution

jimthompson5910 (jim_thompson5910):

yes choice 1 is your answer

OpenStudy (anonymous):

thanks

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