Answer:
1. x² + 4x + 3 = 0
a = 1, b = 4, c = 3
b²- 4ac = 4² - 4(1)(3)
= 16 - 12
= 4
(the root is unequal and real)
2. x² - 5x + 4 = 0
a = 1, b = -5, c = 4
b²- 4ac = -5² - 4(1)(4)
= 25 - 16
= 9
(the root is unequal and real)
3. x² + 7 = 0
a = 1, c = 7
b²- 4ac = 0 - 4(1)(7)
= - 28
(the root is imaginary)
4. 4x² - 4x + 1 = 0
a = 4, b = -4, c = 1
b²- 4ac = -4² - 4(4)(1)
= 16 - 16
= 0
(the root is equal and real)
5. 2x² + 6x + 3 = 0
a = 2, b = 6, c = 4
b²- 4ac = 6² - 4(2)(3)
= 36 - 24
= 12
(the root is unequal and real)
