JEE Qudratic#10

Algebra Level 3

Let α\alpha and β\beta be the roots quadratic equation, 0=ax2+bx+c0=ax^{2} +bx+c If Δ=b24ac\Delta= b^{2}-4ac and α+β,α2+β2,α3+β3 \alpha +\beta ,\alpha ^{2}+\beta ^{2}, \alpha ^{3}+\beta ^{3} are in geometric progression, then which of the following is correct?

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