An algebra problem by Ramesh Nadar

Algebra Level 2

If the roots of 64 x 3 56 x 2 + 14 x 1 = 0 64x^3 -56x^2 + 14x-1=0 are in an geometric progression , find all the roots.

1 8 , 1 4 , 1 2 - \frac18, -\frac14, -\frac12 1 8 , 1 4 , 1 2 \frac18, -\frac14, \frac12 1 8 , 1 4 , 1 2 \frac18, \frac14, -\frac12 1 8 , 1 4 , 1 2 \frac18, \frac14, \frac12

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