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Let p,q be integers and let α and β be the roots of the equationx 2 − x + 1 = 0 , where α ≠ β . For n = 0, 1, 2, …,let a n = p α n + q n ,FACT:If a and b are rational numbers and a + b √ 5 = 0 , then a = 0 = b
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Let p,q be integers and let α and β be the roots of the equation
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