Find the values of such that the equation
has different real roots.
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Originally Posted by pankaj
Find the values of such that the equation has different real roots. did you mean "exactly" or "at least" 3 distinct real roots? anyway, the main idea is to note that if is a root, then will be a root too.
[for those who probably don't know, polynomials of this form can be easily reduced to a quadratic equation by putting ]
It means exactly 3 roots.Obviously one is a repeated root and the other two are different.Something like . being all distinct
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