SOLUTION: Find all zeros for the function,the total number of zeros, the number of real zeros, and the number of imaginary zeros. x^4-3x^2+2

Algebra ->  Rational-functions -> SOLUTION: Find all zeros for the function,the total number of zeros, the number of real zeros, and the number of imaginary zeros. x^4-3x^2+2      Log On


   

Question 451692: Find all zeros for the function,the total number of zeros, the number of real zeros, and the number of imaginary zeros.
x^4-3x^2+2
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

x^4-3x^2+2

Find all zeros

(x^2-3/2)^2 - 9/4 + 2 = 0

 (x^2-3/2)^2 = 5/4

 x^2-3/2 = ± sqrt(5)/2

 x^2 = (3/2 ± sqrt(5)/2)

   x = ± (3/2 ± sqrt(5)/2)

   x = 3/2 + sqrt(5)/2

   x = 3/2 - sqrt(5)/2

   x = -3/2 + sqrt(5)/2

   x = -3/2 - sqrt(5)/2