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α and β are the roots of quadratic equation. If α + β = 8 and α – β = 2√5, then which of the following equation will have roots α4 and β4 ?

x2 – 1522x + 14641 = 0
x2 + 1921x + 14641 = 0
x2– 1764x + 14641 = 0
x2+ 2520x + 14641 = 0

Correct Answer: x2 – 1522x + 14641 = 0

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