anonymous
  • anonymous
Find the set of values of a such that f(x) = x^3 - 3x +a has three real distinct roots....plz hlp..
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
here is an idea. \[f'(x)=3x^2-3=3(x-1)(x+1)\]so we know the local max it at x = -1 and the local min is at x = 1. just make sure that local max is above x axis and local min is below.
anonymous
  • anonymous
\[f(-1)=2+a\] \[f(1)=-2+a\]
anonymous
  • anonymous
tnx got it

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anonymous
  • anonymous
k

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