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What is nature of roots |
| Answer» Nature of RootsA quadratic equation ax2\xa0+ bx + c = 0 has(i) two distinct real roots, if b2\xa0– 4ac > 0,(ii) two equal real roots, if b2\xa0– 4ac = 0,(iii) no real roots, if b2\xa0– 4ac < 0.Since\xa0b2\xa0– 4ac\xa0determines whether the quadratic equation\xa0ax2 +\xa0bx\xa0+\xa0c\xa0= 0 has real roots or not,\xa0b2\xa0– 4ac\xa0is called the\xa0discriminant\xa0of this quadratic equation | |