" (v) "(1)/(4)x^(2)-x+1=0

If f(2x+(1)/(x))=x^(2)+(1)/(4x^(2))+1(x!=0), the value of f(x) is

Determine the nature of roots of given quadratic equation ( i x^(2)+x+1=0 (ii) 4x^(2)-4x+1=0

(B) (2,9/4 ) If two roots of the equation (a-1)(x^(2)+x+1)^(2)-(a+1)(x^(4)+x^(2)+1)=0 are real and distinct,then a lies in the interval

If (f(x)-1) (x ^(2) + x+1)^(2) -(f (x)+1) (x^(4) +x ^(2) +1) =0 AA x in R -{0}and f (x) ne pm 1, then which of the following statement (s) is/are correct ?

If (f(x)-1) (x ^(2) + x+1)^(2) -(f (x)+1) (x^(4) +x ^(2) +1) =0 AA x in R -{0}and f (x) ne pm 1, then which of the following statement (s) is/are correct ?

If two roots of the equation (p-1)(x^(2)+x+1)^(2)-(p+1)(x^(4)+x^(2)+1)=0 are real and distinct and f(x)=(1-x)/(1+x) then f(f(x))+f(f((1)/(x))) is equal to

If x^(2)+3x+1=0 then find x^(3)+(1)/(x^(3)),x^(4)+(1)/(x^(4)),x^(2)-(1)/(x^(2)),x^(2)+(1)/(x^(2))

solve:quad (1)/(x+1)-(4)/((2+x)^(2))>0,x!=-1,-2