Find the square root of
`X+sqrt((-X^(4)-X^(2)-1)).`

Find the square roots of : x^2+1/x^2-4/i (x-1/x)-6 .

Find all roots of the equation X^(6)-X^(5)+X^(4)-X^(3)+X^(2)-X+1=0.

Find the nature of the roots of the following quadratic equations. If the real roots exist, find them :- 3x^2-4sqrt3x+4=0 .

Find the roots of the following equations :- 1/(x+4)-1/(x-7)=11/30,x ne-4,7 .

Find the nature of the roots of the following quadratic equations. If the real roots exist, find them :- 2x^2-2sqrt6x+3=0 .

Find the product of the positive roots of the equation sqrt2009(x)^(log_(2009)(x))=x^2 .

Find the nature of the roots of the following quadratic equations. If the real roots exist, find them :- 25x(x+1)=-4 .

Find the roots of the equation 3x^2-2sqrt6x + 2=0

If sin^(-1)x_i in [0,1]AAi=1,2,3, .28 then find the maximum value of sqrt(sin^(-1)x_1)sqrt(cos^(-1)x_2)+sqrt(sin^(-1)x_2)sqrt(cos^(-1)x_3)+ sqrt(sin^(-1)x_3)sqrt(cos^(-1)x_4)+....+sqrt(sin^(-1)x_(28))sqrt(cos^(-1)x_1)

If the equation whose roots are the squares of the roots of the cubic x^3-a x^2+b x-1=0 is identical with the given cubic equation, then