Review question

What if the roots of this equation are in geometric progression? Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource

Ref: R7111

Question

1. Show that, if the roots of the equation $x^3-5x^2+qx-8=0$ are in geometric progression, then $q=10$.

2. If $\alpha$, $\beta$, $\gamma$ are the roots of the equation $x^3-x^2+4x+7=0,$ find the equation whose roots are $\beta+\gamma$, $\gamma+\alpha$, $\alpha+\beta$.