A.Characterize the roots of the following quadratic equation using the discriminant 1.)x²+4x+3=0
2.)x²-5x+4=0
3.)x²+7=0
4.)4x²-4x+1=0
5.)2x²+6x+3=0
B.complete the table.
its in the picture
2.)x²-5x+4=0
3.)x²+7=0
4.)4x²-4x+1=0
5.)2x²+6x+3=0
B.complete the table.
its in the picture
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A.
1. x² + 4x + 3 = 0
a = 1 b = 4 c = 3
b² - 4ac = 4² - 4(1)(3)
= 16 - 12
= 4
(roots are real, rational and unequal)
2. x² - 5x + 4 = 0
a = 1 b = -5 c = 4
b² - 4ac = -5² - 4(1)(4)
= 25 - 16
= 9
(roots are real, rational and unequal)
3. x² + 7 = 0
a = 1 b = 0 c = 7
b² - 4ac = 0 - 4(1)(7)
= -28
(roots are imaginary)
4. 4x² - 4x + 1 = 0
a = 4 b = -4 c = 1
b² - 4ac = -4² - 4(4)(1)
= 16 - 16
= 0
(roots are real and equal)
5. 2x² + 6x + 3 = 0
a = 2 b = 6 c = 3
b² - 4ac = 6² - 4(2)(3)
= 36 - 24
= 12
(roots are real and unequal)
Answer of B, please check pictures
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