root(1 4)((a^(2)-x^(2))/(a^(2)+x^(2)))

If the two roots (a-1)(x^(4)+x^(2)+1)+(a+1)(x^(2)+x+1)^(2)=0 are real and distinct,then the set of all values of 'a ' is.....

If 1,x_(1),x_(2),x_(3) are the roots of x^(4)-1=0andomega is a complex cube root of unity, find the value of ((omega^(2)-x_(1))(omega^(2)-x_(2))(omega^(2)-x_(3)))/((omega-x_(1))(omega-x_(2))(omega-x_(3)))

If 1,x_(1),x_(2),x_(3) are the roots of x^(4)-1=0andomega is a complex cube root of unity, find the value of ((omega^(2)-x_(1))(omega^(2)-x_(2))(omega^(2)-x_(3)))/((omega-x_(1))(omega-x_(2))(omega-x_(3)))

The value of the lim_(x rarr0)(root(3)(1-2x)-root(4)(1+x^(2)))/(x^(2)+x) is

The value of the lim_(x rarr0)(root(3)(1-2x)-root(4)(1+x^(2)))/(x^(2)+x) is

underset(x to 1)"Lt" (root3(x^(2))-2root3(x)+1)/((x-1)^(2))=

lim_(x rarr0)(root(3)(1+x^(2))-root(4)(1-2x))/(x+x^(2)) is equal to

The value of lim_(xrarr1)(root5(x^(2))-2root5x+1)/(4(x-1)^(2)) is equal to

The values of 'a' for which the equation (x^(2)+x+2)^(2)-(a-3)(x^(2)+x+2)(x^(2)+x+1)+(a-4)(x^(2)+x+1)^(2)= has atlesast one real root is: