It is more logical if we could show the sign of numerator is always positive rather than simply ignoring. i.e. x^2 + x + 6 = (x+1/2)^2 +23/4 > 0 Secondly, in order to achieve positive value for denominator, either both x - 3 and x + 3 need to be positive or both negative. if both positive then x > 3 and if both negative x < -3
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It is more logical if we could show the sign of numerator is always positive rather than simply ignoring.
i.e. x^2 + x + 6 = (x+1/2)^2 +23/4 > 0
Secondly, in order to achieve positive value for denominator, either both x - 3 and x + 3 need to be positive or both negative.
if both positive then x > 3 and if both negative x < -3
I agree - this is a (less than) one-minute solution.
Very helpful rational question sir
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x^2+x+6=x^2-9
x+6=-9
x=-15