The sum of integral values of k for which the equations `(k-12)x^2 + 2(k-12)x + 2 = 0` possess no real roots is

Find the value of k such that the equation (k - 12)x^2 - 2(k – 12)x + 2 = 0 may have equal roots.

The largest integral value of k for which the equation (x-1)(x-2)(x-3)(x-4)+k=0 has real roots is a root of the equation (a) x^(2)-3x+2=0 (b) x^(2)+3x+2=0 (c) x^(2)-7x+12=0(d)x^(2)+7x+12=0

Find the least integral value of k for which the equation x^(2)-2(k+2)x+12+k^(2)=0 has two different real roots.

Find the least integral value of k for which the equation x^(2)-2(k+2)x+12+k^(2)=0 has two different real roots.

The values of k ,for which the equation x^(2)+2(k-1)x+k+5=0 possess atleast one positive root,are:

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.

Find the values of k for which the following equation has equal roots: (k-12)x^2+2(k-12)x+2=0

Find the values of k for which the following equation has equal rots: (k-12)x^(2)+2(k-12)x+2=0