maths

If ax^2 + bx + c = 0 If a,b,c E R. Find the condition that this equation would have atleast one root in [0,2].

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asked by sapna
  1. a x ^ 2 + b x + c = a ( x - x1 ) ( x - x2 )

    In this case :

    a x ^ 2 + b x + c = a ( x - 0 ) ( x - 2 ) = a x ( x - 2 ) = a ( x ^ 2 - 2 x )

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    posted by Bosnian
  2. plse explain me again, i didn't get it..

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    posted by sapna
  3. plsee ..i need urgent

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    posted by sarika
  4. If x1 and x2 are two roots of equation

    a x ^2 + b x + c =0

    then

    a x ^ 2 + b x + c = a ( x - x1 ) ( x -x2 )

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  5. a

    is leading coefficient

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    posted by Bosnian
  6. That is true for any value of a

    example:

    3 ( x ^ 2 - 2 x ) = 0

    has roots 0 and 2


    7 ( x ^ 2 - 2 x ) = 0

    has roots 0 and 2


    39 ( x ^ 2 - 2 x ) = 0

    has roots 0 and 2

    etc.

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    posted by Bosnian
  7. Thank You so much..

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    posted by sapna

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