7. The equation of a curve is xy=10 and the equation of a line l is 2x+y=q, where q is a number.
(i) Find the set of values of q for which l does not intersect the curve.
I am on the right track I think but I don't know how to get the answer. I will upload a picture of my working out but basically I got q

Mathematics
7. The equation of a curve is xy=10 and the equation of a line l is 2x+y=q, where q is a number.
(i) Find the set of values of q for which l does not intersect the curve.
I am on the right track I think but I don't know how to get the answer. I will upload a picture of my working out but basically I got q

Mathematics
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and the actual answer is \[-\sqrt{80}

So basically I don't know why this is the answer or how to get it. Please help!

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