(ax^2)-bx+c=0 has distinct roots lyin b/w 0 & 1.then which of the following holds if a,b,c E N.



  1. abc >=20

  2. abc >=25

  3. abc <=16

  4. abc =9.

2 years ago

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Answers : (1)

                    

Here, b/a=0+1=1, c/a=0*1≠0 ( here 0 is not exactly 0) 


 b=a, c=na(n is any integer )


 let, ax2-ax+na=0


  a(x2-x+n)=0


  x2-x+n=0


 x2=x


 12=1. so x=1 is true. 


 a-b+c=0


 -bx+na= 0


-bx=-na


 b=na


  hit and trial, b=a=√3 and c=3 .then,


abc = 9. this is the answer.  plz aprove the answer. 


 

2 years ago

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