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" If "alpha,beta" are the roots of the "x^(2)-2x+4=0" then "alpha^(n)+beta^(n)" is equal to "

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If alpha and beta are the roots of x^2-2x+4=0 , then alpha^n+beta^n is equal to (a) 2^ndotcos((npi)/3) (b) 2^ndotcos(((n-1)pi)/3) (c) 2^(n+1)dotcos((npi)/3) (d) 2^(n+1)dotcos(((n+1)pi)/3)

If alpha and beta are the roots of x^2-2x+4=0 , then alpha^n+beta^n is equal to (a) 2^ndotcos((npi)/3) (b) 2^ndotcos(((n-1)pi)/3) (c) 2^(n+1)dotcos((npi)/3) (d) 2^(n+1)dotcos(((n+1)pi)/3)