SOLUTION: 2x^4+5x^3+4x^2+5x+2=0

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: 2x^4+5x^3+4x^2+5x+2=0      Log On


   

Question 772061: 2x^4+5x^3+4x^2+5x+2=0
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
2x4+5x3+4x2+5x+2=0 

2x4+4x2+2+5x3+5x=0

(2x4+4x2+2)+(5x3+5x)=0

2(x4+2x2+1)+5x(x2+1)=0

2(x2+1)(x2+1)+5x(x2+1)=0

(x2+1)[2(x2+1)+5x] = 0

(x2+1)(2x2+2+5x) = 0

(x2+1)(2x2+5x+2) = 0

(x2+1)(2x+1)(x+2) = 0

x²+1 = 0;  2x+1 = 0;   x+2 = 0
  x² = -1    2x = -1     x = -2     
   x = ±i     x = -1%2F2  


Edwin