For what value of m will the equation `x^2 -(3m - 1) x + 2m^2 + 2m - 11 =0 `have equal roots? Find the roots.

Find the values of m for which the equation x^2 -2 (5 + 2m) x+ 3 (7+ 10m) =0 has equal roots.

For what value of k, the equation 5x^2 + 10x+ k = 0 have equal roots? What are the equal roots?

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

For what value of a, the equation 3x^2 + 2 (a^2 + 1) x + (a^2 - 3a + 2) = 0 possesses roots of opposite sign?

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

If 2 is a root of the equation x^2+px-8 = 0 and the equation x^2 + px + q = 0 has equal roots, find p, q .

If the equation (a^2+b^2)x^2-2(ac+bd)x+(c^2+d^2)=0 has equal roots, then

For what value of k the equation 2x^2-2kx+k=0 will have real and equal roots.

If -3 is a root of the equation x^2+ px + 6 = 0 and the equation x^2 +px +q = 0 has equal roots, find p,q .

For what value of k the following equations will have (a)two unequal roots, (b)no solution, (c)equal roots. x^2+ (k - 2)x + 2k + 1 = 0 .