SOLUTION: How many complex roots does the polynomial equation have?
5x^3−4x+1=0
2
3
4
5
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Question 1124403: How many complex roots does the polynomial equation have?
5x^3−4x+1=0
2
3
4
5
Found 2 solutions by MathLover1, ikleyn:
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
a polynomial equation of degree has roots
you have a polynomial equation of degree has roots
here are they:
...factor; add , and write as
...group
one real solution is: =>
and, since your function is 3rd degree, there will be two more solutions
use quadratic formula to solve :
In this case ,,
solutions:
Answer by ikleyn(52786) (Show Source): You can put this solution on YOUR website!
.
I can answer this question without solving the equation.
The polynomial is of degree 3 - hence, it has 3 (three, THREE) complex roots.
No more and no less - exactly 3.
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