1. x² - 6x - 27 = 0
a = 1 b = -6 c = -27
b² - 4ac = -6² - 4(1)(-27)
= 36 + 108
= 144
(roots are real, rational and unequal)
2. x² - 25 = 0
a = 1 b = 0 c = -25
b² - 4ac = 0 - 4(1)(-25)
= 100
3. x² + 10x + 25 = 0
a = 1 b = 10 c = 25
b² - 4ac = 10² - 4(1)(25)
= 100 - 100
= 0
(roots are real and equal)
4. 2x² - 5x + 3 = 0
a = 2 b = -5 c = 3
b² - 4ac = -5² - 4(2)(3)
= 25 - 24
= 1
#CarryOnLearning
Copyright © 2024 EHUB.TIPS team's - All rights reserved.
Answers & Comments
Verified answer
1. x² - 6x - 27 = 0
a = 1 b = -6 c = -27
b² - 4ac = -6² - 4(1)(-27)
= 36 + 108
= 144
(roots are real, rational and unequal)
2. x² - 25 = 0
a = 1 b = 0 c = -25
b² - 4ac = 0 - 4(1)(-25)
= 100
(roots are real, rational and unequal)
3. x² + 10x + 25 = 0
a = 1 b = 10 c = 25
b² - 4ac = 10² - 4(1)(25)
= 100 - 100
= 0
(roots are real and equal)
4. 2x² - 5x + 3 = 0
a = 2 b = -5 c = 3
b² - 4ac = -5² - 4(2)(3)
= 25 - 24
= 1
(roots are real, rational and unequal)
#CarryOnLearning