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Let p,q be integers and let α,β be the roots of the equation, x2−x−1=0, where α≠β. For n=0,1,2,...., let an=pαn+qβn.FACT: If a and b are rational numbers and a+b√5=0. then a=0=b.If a4=28, then p+2q=

Answer»

Let p,q be integers and let α,β be the roots of the equation, x2x1=0, where αβ. For n=0,1,2,...., let an=pαn+qβn.



FACT: If a and b are rational numbers and a+b5=0. then a=0=b.



If a4=28, then p+2q=



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