The roots \\alpha and \\beta of a quadratic equation, satisfy the relations \\alpha+\\beta=\\alpha^{2}+\\beta^{2} and \\alpha\\beta=\\alpha^{2} \\beta^{2} . What is thenumber of such quadratic equations? [NDA-I 2020]

NDA Math Quadratic Equations and Inequations

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The roots α and β of a quadratic equation, satisfy the relations α+β=α2+β2 and αβ=α2β2. What is thenumber of such quadratic equations?

[NDA-I 2020]

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