SOLUTION: How do you go about solving for the variable in this equation? x^5+3x^4=x+3

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: How do you go about solving for the variable in this equation? x^5+3x^4=x+3      Log On


   

Question 448918: How do you go about solving for the variable in this equation?
x^5+3x^4=x+3
Answer by poliphob3.14(115) About Me  (Show Source):
You can put this solution on YOUR website!
Factor the left side:x%5E4%28x%2B3%29=x%2B3, assuming x≠-3, divide both sides by
x+3 and get:x%5E4=1=>x%5E4-1=0=>%28x%5E2-1%29%28x%5E2%2B1%29=0=>
=>%28x-1%29%28x%2B1%29%28x%5E2%2B1%29=0. The real solution set is: {-1, 1}.