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

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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)   (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
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