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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

c = -15 (Option A) would be true. Value of x2 will be 5 and value of x1 will be -3
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