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JEE Math Practice Question

Let $$\alpha, \beta$$ be the roots of the equation $$x^2+2 \sqrt{2} x-1=0$$. The quadratic equation, whose roots are $$\alpha^4+\beta^4$$ and $$\frac{1}{10}(\alpha^6+\beta^6)$$, is:

  1. A.$$x^2-180 x+9506=0$$
  2. B.$$x^2-195 x+9506=0$$
  3. C.$$x^2-190 x+9466=0$$
  4. D.$$x^2-195 x+9466=0$$

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