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G1, G2,G3, G4 are the geometric means be...

`G_1, G_2,G_3, G_4` are the geometric means between positive numbers a and b then the quadratic equation `(G_1+ G_3) G_2 G_3x^2 -G_2x-(G_1 +G_3)G_1G_4=0` has roots which are

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