finding value of constant such that function has distinct root
we have the function cubic function $$ x^3 -12x +k =0 $$ it has distinct
root in $$ [0,2{]} $$ that task given to us is to find the the value of k
satisfying the above conditions I proceeded differentiated the function
and by equating differential coefficient to zero i found that function
turned at x=2 now if the function turned turned at least once then it must
be having least of 1 root now how will we use this result to find value of
the constant k
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