Mathematics
Find the values of m so that the quadratic equation 3x2 - 5x - 2m = 0 has two distinct real roots.
Related Questions
Find the values of k so that the quadratic equation (4 - k)x2 + 2(k + 2)x + (8k + 1) = 0 has equal roots.
Find the value(s) of k for which each of the following quadratic equation has equal roots:
(i) 3kx2 = 4(kx - 1)
(ii) (k + 4)x2 + (k + 1)x + 1 = 0
Also, find the roots for that value(s) of k in each case.
Find two natural numbers which differ by 3 and whose squares have the sum 117.