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# Cubic equation conditions

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1. The following curve is defined by the equation , where is a real number.
Given that the curve has 3 distinct real roots, find the range of values that can take.
2. (Original post by Ano123)
The following curve is defined by the equation , where is a real number.
Given that the curve has 3 distinct real roots, find the range of values that can take.
https://en.wikipedia.org/wiki/Cubic_...e_discriminant
3. (Original post by Ano123)
The following curve is defined by the equation , where is a real number.
Given that the curve has 3 distinct real roots, find the range of values that can take.
Draw some examples of a graph of a cubic which has 3 distinct real roots. What do you notice about the turning points?
4. (Original post by Ano123)
The following curve is defined by the equation , where is a real number.
Given that the curve has 3 distinct real roots, find the range of values that can take.
Look TeeEm 's Hard paper N
5. You really need to start including some of your own thoughts and attempts to your questions before posting them on TSR.
6. (Original post by Zacken)
You really need to start including some of your own thoughts and attempts to your questions before posting them on TSR.
A threat? Aimed at me??
I don't need to do anything.
7. (Original post by Ano123)
A threat? Aimed at me??
No, not a threat... not sure where you got that from.
8. (Original post by Zacken)
No, not a threat... not sure where you got that from.
The pm you sent me saying, and I quote 'you will do me in'.
9. (Original post by Ano123)
The pm you sent me saying, and I quote 'you will do me in'.
lol you're off your rocker mate
10. (Original post by Ano123)
The pm you sent me saying, and I quote 'you will do me in'.
wht he means is ur on his turf and u been chattin maths shizzle so he wants to fight u.

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