A diagrammatic illustration of two distinct lines l and m perpendicular to the same line n is shown below
As seen above, l and m are opposite each other, and will never intersect. Therefore, the lines l and m are parallel to each other.
Complex roots occur when b^2 - 4ac is negative.
So we have (-6)^2 - 4.1.k < 0
-4k < - 36
k > 9
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Number: n
square of number: n^2
sum of n and n^2 is n+n^2=20
Rewriting this equation, we get n^2+n-20=0 = (n+5)(n-4) = 0
Then n+5=0 and n-4=0, so n = -5 and n = 4.
You must check both results. It could happen that both are correct, or that only one is correct.
