Given the curve has the equation and , find the range of values of , such that the curve has 2 stationary points. but ans is
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Originally Posted by Punch Given the curve has the equation and , find the range of values of , such that the curve has 2 stationary points. I agree up to this point. For there to be two stationary points, the discriminant is positive, so If you have been told that , then the answer is (partially) correct. Edit: I realise now that you have written . I'm sure you can finish.
Originally Posted by Prove It I agree up to this point. For there to be two stationary points, the discriminant is positive, so Edit: I realise now that you have written . I'm sure you can finish. Combining them, ans agrees with my ans in post 1, but ans is b<0
I have a feeling there must be a typo in the answer you have been given, because I get after substituting right at the beginning as well. I agree with as the answer.
Originally Posted by Prove It I agree up to this point. For there to be two stationary points, the discriminant is positive, so If you have been told that , then the answer is (partially) correct. Edit: I realise now that you have written . I'm sure you can finish. Why not get rid of in the question.It is given that .So the equation of the curve can simply be written as and yields and thus for which the necessary and sufficient condition is
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