Question:medium

If $\alpha,\beta$ are roots of $2x^2-x-3\lambda=0$ and $\alpha,\gamma$ are roots of $2x^2+9x+2\lambda=0$, find equation of roots $2\alpha+\beta$ and $\beta+\gamma$.

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Use symmetric relations from Vieta directly.
Updated On: Jun 17, 2026
  • $x^2-x-2=0$
  • $x^2+x-2=0$
  • $x^2-3x+2=0$
  • $x^2+3x+2=0$
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The Correct Option is A

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