" 8.If "x^(2)+x+1=0" ,then find the value of "sum_(n=1)^(n)(x'+(1)/(x'))^(2)

If x^(2)-x+1=0 then the value of sum_(n=1)^(5)(x^(n)+(1)/(x^(n)))^(2) is

If x^(2)-x+1=0 then the value of sum_(n=1)^(5)[x^(n)+(1)/(x^(n))]^(2) is:

If n in N such that is not a multiple of 3 and (1+x+x^(2))^(n) = sum_(r=0)^(2n) a_(r ). X^(r ) , then find the value of sum_(r=0)^(n) (-1)^(r ).a_(r).""^(n)C_(r ) .

If n in N such that is not a multiple of 3 and (1+x+x^(2))^(n) = sum_(r=0)^(2n) a_(r ). X^(r ) , then find the value of sum_(r=0)^(n) (-1)^(r ).a_(r).""^(n)C_(r ) .

If x^2-x+1=0 then the value of sum_[n=1]^[5][x^n+1/x^n]^2 is:

If sum_(i=1)^(2n)cos^(-1)x_i=0 then find the value of sum_(i=1)^(2n)x_i

If sum_(i=1)^(2n)cos^(-1)x_(i)=0 then find the value of sum_(i=1)^(2n)x_(i)

If sum_(i=1)^(2n) sin^-1x_i = npi then find the value of sum_(i = 1)^(2n) x_i

If f(x)=(a^(x))/(a^(x)+sqrt(a)),(a>0), then find the value of sum_(r=1)^(2n1)2f((r)/(2n))

If f(x)=(a^x)/(a^x+sqrt(a ,)),(a >0), then find the value of sum_(r=1)^(2n-1)2f(r/(2n))