A root of the equation `4x^3+2x^2-3x-1=0` is

The sum of all the real roots of equation x^4-3x^3-2x^2-3x+1=0 is

The abscissae of two points P,Q are the roots of the equation 2x^2+4x-7=0 and their ordinates are the roots of the equation 3x^2-12x-1=0 . Then the centre of the circle with PQ as a diameter is

IF alpha is a root of the equation 4x ^2 +2x-1=0 then 4 alpha ^3 - 3 alpha is

When the smaller root of the equation 3x^(2) + 4x - 1 = 0 is subtracted from the larger root , the result is

Find the equations of the lines whose intercepts are the roots of the equation 4x^(2) - 3x - 1 = 0 .

If 2 is a root of the equation x^4+2x^3-3x^2+kx-4=0 , then k=

The equation whose roots are the squares of the roots of the equation 2x ^(2) + 3x +1 = 0 is

A cubic equation roots of which is twice of the roots of the equation x^(3)+3x^(2)+2x+4=0 , is