The value of a for which the sum of the squares of the roots of the equation `x^(2)-(a-2)x-a-1=0` assume the least value is

Find value of a for which the sum of the squares of the equation x^2 -(a-2) x -a -1 = 0 assumes the least value.

The sum of square of roots of the equation 2x^4+x^2+x+2=0 is :

The value of lamda such that sum of the squares of the roots of the quadratic equation, x^(2)+(3-lamda)x+2=lamda had the least value is

Find the value of k for which the sum of the squares of the reciprocals of the roots of x^(2)+kx+9=0is(2)

Find the sum of the squares of the roots of 3x^3-2x^2+4x+1=0

Find the sum of squares of roots of the equation 2x^4 - 8x^3 + 6x^2 - 3=0

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

If the sum of squares of roots of equation x^(2)-(sin alpha-2)x-(1+sin alpha)=0 is the least, then alpha is equal to