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The equations ax^(2)+bx+c=0 and cx^(2)+b...

The equations `ax^(2)+bx+c=0` and `cx^(2)+bx+a=0` have a common root and the difference of their other roots is one. Then show that `|ac|=|a^(2)-c^(2)|`. Hence or otherwise find the maximum and minimum value of `|(a)/( c )|`.

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