## anonymous one year ago 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<square root of 80 (which I incorrectly worked out to be 8.9 and used that but anyway).

1. anonymous

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

2. anonymous

3. anonymous

4. anonymous

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

5. zpupster

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

6. anonymous

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