Mathematics
Find the value(s) of m for which each of the following quadratic equation has real and equal roots :
(i) (3m + 1)x2 + 2(m + 1)x + m = 0
(ii) x2 + 2(m - 1)x + (m + 5) = 0
Related Questions
Without solving the following quadratic equations, find the value of 'p' for which the given equations have real and equal roots :
(i) px2 - 4x + 3 = 0
(ii) x2 + (p - 3)x + p = 0
Find the values of k for which each of the following quadratic equation has equal roots :
(i) x2 + 4kx + (k2 - k + 2) = 0
(ii) (k - 4)x2 + 2(k - 4)x + 4 = 0
Find the values of k for which each of the following quadratic equation equal roots :
(i) 9x2 + kx + 1 = 0
(ii) x2 - 2kx + 7k - 12 = 0 Also, find the roots for those values of k in each case.
Find the value(s) of p for which the quadratic equation (2p + 1)x2 - (7p + 2)x + (7p - 3) = 0 has equal roots. Also find these roots.