OpenStudy (anonymous):

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 2 years ago

OpenStudy (anonymous):

and the actual answer is \[-\sqrt{80}<q<\sqrt{80}\]

2 years ago
OpenStudy (anonymous):

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

2 years ago
OpenStudy (anonymous):

2 years ago
OpenStudy (anonymous):

The coordinates that I marked are from a previous question. But thats my working out

2 years ago
OpenStudy (zpupster):

yes that is correct https://www.desmos.com/calculator/m3ynz8wrtz

2 years ago
OpenStudy (anonymous):

So are you saying that their answer is just a different form of mine?

2 years ago
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