SOLUTION: Hello, I need help with this problem: Find all rational roots of the equation x^3-5x^2-4x+20=0 and then find the irrational roots if there are any? Thank you.

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Question 448579: Hello,
I need help with this problem:
Find all rational roots of the equation x^3-5x^2-4x+20=0
and then find the irrational roots if there are any?
Thank you.

Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
 
Hi,
Find all rational roots of the equation
x^3-5x^2-4x+20=0 |If x = 2 then 8-20-8-20= 0
x^3-5x^2-4x+20)/(x-2) = x^2-3x-10
(x-2)(x^2-3x-10) = 0


x = (3 ± 7)/2 x = 5 and x = -2
Rational roots are: -2,2,5
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