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+10
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So i was solving a polynomial equation of degree 3, using algaebra. 

here is the equation \(2x+3x^2+4x^3=0\) and i arrived to the final as x=0 is the only possible solution. Am i correct?

 Apr 12, 2016
edited by Misaki  Apr 12, 2016

Best Answer 

 #1
avatar
+5

It has 3 roots:

x=0

x= -1/8 i (sqrt(23)-3 i)

x= 1/8 i (sqrt(23)+3 i)

 Apr 12, 2016
 #1
avatar
+5
Best Answer

It has 3 roots:

x=0

x= -1/8 i (sqrt(23)-3 i)

x= 1/8 i (sqrt(23)+3 i)

Guest Apr 12, 2016
 #2
avatar+333 
+5

ok thanks

 Apr 12, 2016
 #3
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0

Yes,the equation has no real roots.When you factor out x to get a quadratic,the discriminant of this quadratic is 9-32 = -23. It's got 2 complex roots,but 

I'm assuming you haven't studied complex numbers yet.

 Apr 12, 2016

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