Discriminant and nature of roots
Equations and inequalities · Mathematics
Study notes
Q: Determine the nature of roots: (a) x² - 4x + 4 = 0 (b) 2x² + 3x + 5 = 0 (c) x² - 5x + 6 = 0. (a) D = 16 - 16 = 0. One repeated root: x = 2 (double). (b) D = 9 - 40 = -31 < 0. No real roots (complex pair). (c) D = 25 - 24 = 1 > 0. Two distinct real roots: x = 2, 3.