CAT Quantitative Ability Questions | CAT Algebra questions

CAT/1997

Question . 184

If the roots, x1 and x2 , of the quadratic equation x² – 2x + c = 0 also satisfy the equation 7x² – 4x1 = 47, then which of the following is true?

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Method of solving this CAT Quantitative Ability Question from Algebra question