Find the value of `k` for which the quadratic equation `(k+1)x^(2)-6(k+1)x+3(k+9)=0,k!=-1` has equal roots.Then find the roots.

Find the non-zero value of k for which the quadratic equations kx^2+1-2(k-1)x+x^2=0 has equal roots. Hence, find the roots of the equation

Find the value of k for which the quadratic equation k^(2)x^(2)-2(2k-1)x+4=0 has real and equal roots.

Find the value of k for which the quadratic equations (k+1)x^(2)+2(k-1)x+1=0 has equal roots

Find the value of k for which the quadratic equation (k+4)x^(2) + (k+1)k+1=0 has equal roots

Find the value of k for which the quadratic equation (k+4)x^(2)+(k+1)x+1=0 has equal roots

Find k so that the quadratic equation (k + 1)x^(2) - 2(k + 1)x + 1 = 0 has equal roots.

(i) Find the values of k for which the quadratic equation (3k+1)x^(2)+2(k+1)x+1=0 has real and equal roots. (ii) Find the value of k for which the equation x^(2)+k(2x+k-1)+2=0 has real and equal roots.

Find the values of k for which the quadratic equation 9x^(2)-3kx+k=0 has equal roots.

Find the value of k for which the quadratic equation (k+4)x^2+(k+1)x+1=0 has equal roots

Find the value of k for which the quadratic equations 9x^(2) - 24x+ k=0 has equal roots.