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The problem asks to write a quadratic equation with a leading coefficient of 1 whose two roots are obtained by increasing each root of x^2 - 2x - 5 = 0 by the reciprocal of the other. The roots of the given equation are 1 and -5. Increasing 1 by the reciprocal of -5 gives 1 + 0.2 = 1.2. Increasing -5 by the reciprocal of 1 gives -5 + -1 = -6. The required quadratic equation is x^2 - 1.2x - 6 = 0.
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