SOLUTION: solve for the zeros or roots of this polynomial equation n(x)= x^2+2 divided by 2 Please Please explain step by step because I really want to learn how to solve for the zeros

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: solve for the zeros or roots of this polynomial equation n(x)= x^2+2 divided by 2 Please Please explain step by step because I really want to learn how to solve for the zeros      Log On


   

Question 164562: solve for the zeros or roots of this polynomial equation
n(x)= x^2+2 divided by 2
Please Please explain step by step because I really want to learn how to solve for the zeros of polynomial equations. Thank you for any help. Please Help Soon!
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
This may not be the best example to learn from.
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n%28x%29=%28x%5E2%2B2%29%2F2=0.....Set the equation equal to zero.
x%5E2%2B2=0.....Multiply both sides by 2.
x%5E2=-2.....Subtract 2 from boths sides.
x=0+%2B-+sqrt%28-2%29.....Take the square root of both sides.
x=0+%2B-+sqrt%282%29%2Asqrt%28-1%29.....Factor out the square root of 2.
x=0+%2B-+sqrt%282%29i.....Replace square root of -1 with complex i.
where
i=sqrt%28-1%29
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This equation has no real roots only complex (complex conjugates) roots.