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If 2a+3b+6c=0 , then at least one root o...

If 2a+3b+6c=0 , then at least one root of the eqution `ax^2+bx+c=0` lies in the interval

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If 2a+3b+6c=0, then prove that at least one root of the equation ax^(2)+bx+c=0 lies in the interval (0,1) .

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