If α, β are roots of the equation x^2+ 5( √2)x + 10 = 0, and P_n = α ^n – β^n for each positive

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If alpha,beta are roots of the equation x^2+5√2x+10=0, Pn=alpha^n-beta^n for each positive integer n If alpha,beta are roots of the equation x^2+5√2x+10=0, Pn=alpha^n-beta^n for each positive integer n
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