If a, a<sub>1</sub>, a<sub>2</sub>, a<sub>3</sub>, ..., a<sub>2n - 1</sub>, b are in AP, a, b<sub>1</sub>, b<sub>2</sub>, ... b<sub>2n - 1</sub>, b are in GP and a, c<sub>1</sub>, c<sub>2</sub>, c<sub>3</sub>, ..., c<sub>2n - 1</sub>, b re in HP, where a, b are positive, then the equation a<sub>n</sub>x<sup>2</sup> - b<sub>n</sub>x + c<sub>n</sub> = 0 has its roots
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