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Sanjeev goyal Grade:
        

If λ and M be real numbers such that  X3-λX2+mX-6=0 has its roots real and positive, then minimum value of M is

7 years ago

Answers : (1)

Pratham Ashish
17 Points
										

X3-λX2+mX-6=0


a+b + c  = λ


ab + bc + ca = m


abc = 6


applying A.M.   G.M. inequality,


(ab + bc + ca )/3 >=  ( ab.bc.ca) ^1/3


                        >  =  ( abc) ^2/3


                        > =    6^2/3


(ab + bc + ca )   >= 3 *  (6) ^2/3


 so its minimum value will be = 3 *  (6) ^2/3


  

7 years ago
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