Question:medium

If $\alpha,\beta,\gamma$ are roots of $x^3-ax^2-4x+4a=0$ with $\alpha+\beta=0$, $\beta+\gamma=5$, find sum of all possible $a$.

Show Hint

Use Vieta + given linear relations together.
Updated On: Jun 17, 2026
  • 10
  • -10
  • 4
  • -4
Show Solution

The Correct Option is A

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