Nick chuan
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Question is : show that line x+y=q will intersect the curve x^2-2x+2y^2=3 in two distinct points if q^2 is smaller than 2q +5
Show x+y=q intersects x^2-2x+2y^2=3 twice if q^2 < 2q +5
- Thread starter Nick chuan
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What are your thoughts? What have you tried? Please comply with the rules of the forum as laid out in the Read Before Posting thread that's stickied at the top of every sub-forum (you did read it, right? 
) and share with us any and all work you've done on this problem, even the parts you know for sure are wrong. Thank you.
) and share with us any and all work you've done on this problem, even the parts you know for sure are wrong. Thank you.HallsofIvy
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Do you know that x+ y= q is the same as y= q- x? If you replace y in x^2- 2x+ 2y^2= 3 you get a quadratic equation in x. When does a quadratic equation have two distinct real roots?