The value of k for which equations `x^(2)+(2k-6)x+7-3k=0 and x^(2)+(2k-2)x+3k-5=0` has two different pair of equal roots is

Find the value of k for which the equation x^(2)-2(1+3k)x+7(3+2k)=0 has two equal roots, which are real.

The value of k for which the equation 3x^(2) + 2x (k^(2) + 1) + k^(2) - 3k + 2 = 0 has roots of opposite signs, lies in the interval

The value of k for which the equation 3x^(2) + 2x (k^(2) + 1) + k^(2) - 3k + 2 = 0 has roots of opposite signs, lies in the interval

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

Find the value of k for which the equation 3x^(2)-6x+k=0 has distinct and real root.

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

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

What is the value of k for which the quadratic equation 3x^(2) - kx+ k = 0 has equal roots ?