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CAT 1997 | Question: 118

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If the roots, $x_{1}$ and $x_{2}$ of the quadratic equation $x^{2}-2x+c=0$ also satisfy the equation $7x_{2}-4x_{1}=47$, then which of the following is true? 

  1. $c=-15$
  2. $x_{1}=-5, x_{2}=3$
  3. $x_{1}=4.5, x_{2}=-2.5$
  4. None of these

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