How to Determine the Nature of Roots in Quadratic Equations | Easy Explanation + Examples

[@ngocdo5687]

XX + 3X + 4 = 0
* 4 = 1x4 = 2x2
4 - 1 = 3 = (b)
**. 4: 4x4 + 3x4 + 4
16 + 12 + 4 # 0
-4: 16 -12 + 4 # 0
** 1: 1x1 +3x1 + 4
1 + 3 + 4 # 0
-1: 1 - 3 + 4 # 0
*** XX + 3X (-) 4 = 0

[@ngocdo5687]

2XX - 3X + 1 = 0
*. XX - 1,5X + 0,5 = 0
0,5 = 1x0,5 = 2x0,25
1 + 0,5 = 1,5 = (b')
**. 1 : 2(1x1) - 3(1) + 1
2 - 3 + 1 = 0
** 0,5: 2(0,5x0,5)-3(0,5)+1
0,5 - 1,5 + 1 = 0
*** X' = 1 , X" = 0,5./.

[@ngocdo5687]

XX + 6X + 9 = 0
* 9 = 1x9=1,5x6= 3x3
3 + 3 = 6 = (b)
** 3: 3x3 + 6x3 + 9
9 + 18 + 9 # 0
-3: 9 - 18 + 9 = 0
*** X' = X" = - 3./.