SOLUTION: solve for the zeros or roots of this polynomial equation k(x)= x-(1/x) Please Please explain step by step because I really want to learn how to solve for the zeros of polynom

Question 164559: solve for the zeros or roots of this polynomial equation
k(x)= x-(1/x)
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 ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
solve for the zeros or roots of this polynomial equation
k(x) = x-(1/x)
:
Make the equation = to 0
x - = 0
:
Multiply equation by x to get rid of the denominator
x*x - x* = x*0
:
results
x^2 - 1 = 0
;
Recognize this as the "difference of square" and can be factored to:
(x+1)*(x-1) = 0; (FOIL this and you will see it)
:
Two solutions
x = -1
and
x = +1
;
;
Prove it to yourself. Substitute -1 for x in the original equation
-1 - = 0
-1 - (-1) = 0
Which is
-1 + 1 = 0
:
Do the same with x=+1
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