Find all values of `a` for which the sum of the roots of the equation `x^2-2a(x-1)-1=0` is equal to the sum of the squares of its roots

A real value of a, for which the sum of the roots of the equation x^(2)-2ax+2a-1=0 is equal to the sum of the square of its roots, is

A real value of a, for which the sum of the roots of the equation x^(2)-2ax+2a-1=0 is equal to the sum of the square of its roots, is

The sum of the roots of the equation x^2+ px + q= 0 is equal to the sum of their squares, then

If the sum of the roots of the equation 2x^(2)+4x+C=0 be equal to the sum of their square then

If the sum of the roots of the equation a x^(2)+b x+c=0 is equal to the sum of the squares of their reciprocals, then

The sum of the roots of the equation x^(2) + px + q = 0 is equal to the sum of their squares, then :

The value of a for which the sum of the square of the roots of the equation x^(2)-(a-2)x-a+1=0 is least, is

Let m=(a)/(2)-b ,such that a^(2)-b^(4)=19 where a,b in N and n is the number of values of k for which sum of roots of equation x^(2)-2kx+2k-1=0 is equal to sum of square of its roots,then value of (3|m|+n) equals

Find value of p for which the product of roots of the quadratic equation px^(2) +6x+ 4p =0 is equal to the sum of the roots.

If the sum of the roots of the equation x^2-x=K(2x-1) is zero, then find the value of K.