Characterize the nature of the roots of the following quadratic equations using the discriminant. WITH SOLUTION
1.) x² + 9x + 20 = 0
2.) x² + 6x + 13 = 0
3.) 3x² - 5x = -4
4.) x² - 2x - 5 = 0
5.) x² + 8x + 16 = 0
1.) x² + 9x + 20 = 0
2.) x² + 6x + 13 = 0
3.) 3x² - 5x = -4
4.) x² - 2x - 5 = 0
5.) x² + 8x + 16 = 0
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Answer:
1. x² + 9x + 20 = 0
a = 1, b = 9, c = 20
b² - 4ac
9² - 4(1)(20)
81 - 80
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b² - 4ac > 0 AND PERFECT SQUARE THE NATURE OF ROOT ARE RATIONAL NUMBERS BUT NOT EQUAL