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The condition that the roots of $x^3-bx^2+cx-d=0$ are in geometric progression is :
\[\begin {array} {1 1} (1)\;c^3=b^3d & \quad (2)\;c^2=b^2d \\ (3)\;c=bd^3 & \quad (4)\;c=bd^2 \end {array}\]
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