SOLUTION: Solve: {{{x^3-5x^2+4x-20=0}}}

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Question 134946: Solve: x%5E3-5x%5E2%2B4x-20=0
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E3-5x%5E2%2B4x-20=0 Start with the given equation

%28x%5E3-5x%5E2%29%2B%284x-20%29=0 Group like terms


x%5E2%28x-5%29%2B4%28x-5%29=0 Factor out the GCF x%5E2 out of the first group. Factor out the GCF 4 out of the second group


%28x%5E2%2B4%29%28x-5%29=0 Since we have the common term x-5, we can combine like terms


Now set each factor equal to zero:

x%5E2%2B4=0 or x-5=0

Now solve for x for each factor:

x=-2i, x=2i or x=5