x^(2)+x+1=0quad [NCERT]

int(x^(3)-x^(2)+x-1)/(x-1)dx[NCERT

If x^(2) - 2x + 1 = 0 "then" x + 1/x =

Let x=1+(1)/(1+(1)/(1+(1)/(1+(1)/(1+(1)/(1+alpha))))). Which of the following is correct? x^(2)+x+1=0 (b) x^(2)-x+1=0( c) x^(2)+x-1=0 (d) x^(2)-x-1=0

If alpha,beta are the roots of the equation x^(2)+x+1=0 , then the equation whose roots are alpha^(22)andbeta^(19) , is a) x^(2)-x+1=0 b) x^(2)+x+1=0 c) x^(2)+x-1=0 d) x^(2)-x-1=0

Let alpha and beta be the roots of the equation x^2+x+1=0 . The equation whose roots are alpha^29, beta^17 is (A) x^2-x+1=0 (B) x^2+x+1=0 (C) x^2-x-1=0 (D) x^2+x-1=0

Let alpha and beta be the roots of the equation x^2+x+1=0 . The equation whose roots are alpha^29, beta^17 is (A) x^2-x+1=0 (B) x^2+x+1=0 (C) x^2-x-1=0 (D) x^2+x-1=0

Show that x+(1)/(x)>=2,quad if x>0 and x+(1)/(x)<=-2,quad if x<0

f(x)={{:((1-cos2x)/(x^(2)),if x ne 0),(5, if x = 0):} at x = 0 .

f(x)={{:((1-cos2x)/(x^(2)),if x ne 0),(5, if x = 0):} at x = 0 .