`x^4-4x-1=0` has

If (a,0) is a point on a diameter of the circle x^2+y^2=4 , then x^2-4x-a^2=0 has

The equation x^(4)-2x^(3)-3x^(2)+4x-1=0 has four distinct real roots x_(1),x_(2),x_(3),x_(4) then find sum_(i=1)^4 x_i

Find value of k if (k^(2)-1)x^(2)+4x+1=0 has one root =-1

If x^2-4x+p=0 has real roots then

The set of values of a for which x^2+ax+sin^(-1)(x^2-4x+5)+cos^(-1)(x^2-4x+5)=0 has at least one real root is given by

The equation x ^(4) -2x ^(3)-3x^2 + 4x -1=0 has four distinct real roots x _(1), x _(2), x _(3), x_(4) such that x _(1) lt x _(2) lt x _(3)lt x _(4) and product of two roots is unity, then : x _(1)x _(2) +x_(1)x_(3) + x_(2) x _(4) +x_(3) x _(4)=

The equation x ^(4) -2x ^(3)-3x^2 + 4x -1=0 has four distinct real roots x _(1), x _(2), x _(3), x_(4) such that x _(1) lt x _(2) lt x _(3)lt x _(4) and product of two roots is unity, then : x _(1)x _(2) +x_(1)x_(3) + x_(2) x _(4) +x_(3) x _(4)=

If (a, 0) is a point on a diameter of the circle x^(2)+y^(2)=4 , then the equation x^(2)-4x-a^(2)=0 has

If (a, 0) is a point on a diameter of the circle x^(2)+y^(2)=4 , then the equation x^(2)-4x-a^(2)=0 has