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deep01 (42)

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The least integral value of a for which the equation


 


       x2-2(a-1)x+(2a+1)=0  has both the roots positive , is


 


 


METHOD:  D>=0 ,  sum of the roots>0  and  f(0)>0


 


 


now i want to know that why the author has written f(0)>0  ????



                                                    



 


 


 


 


 


 


 


 


 


 


                                              

    

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hsbhatt (6235)

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Because f(0) = constant term = product of roots


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shubham_sachdeva (1901)

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coeff. of x^2 term is +ve implies parabola is upward opening and both roots are +ve. which means f(0) would be greater than 0. wait i m attaching the dia...correct me if i m wrong sir.....



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deep01 (42)

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 how will we come to know that we have to impose the condition f(0)>0??

 

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shubham_sachdeva (1901)

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