SOLUTION: Given that a and b are both positive numbers solve 1)x^2+a^2/x^2+b^2>or equal to 0 2) a/x^2<-b

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Question 345717: Given that a and b are both positive numbers solve
1)x^2+a^2/x^2+b^2>or equal to 0

2) a/x^2<-b

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Given that a and b are both positive numbers solve
1)x^2+a^2/x^2+b^2 >= 0
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Solve the equality for "x":
(x^2+a^2)/(x^2+b^2) = 0
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True when x^2+a^2 = 0
Factor in the Complex Number System:
(x+ai)(x-ai) = 0
x = +ai or x = -ai
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Not Real Number solutions.
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Cheers,
Stan H.