Find the value of k for which the quadratic equation 9x² - 3kx +k = 0 has equal roots.
Solution:
Given equation, 9x² - 3kx + k=0Here, a = 9, b = -3k, c = kNow, b² - 4ac = 0(-3k)² - 4 .9.k=09k² - 36k=09k(k-4)=09k=0, k-4=0k=0, k=4The value of k so that the equation 9x² - 3kx + k=0 has equal roots is 0 or 4