B.Determine the nature of the roots of the following quadratic equations using the discriminant.
1. x²+6x+9=0 discriminant:_________ nature of the roots:________
2. x²+9x+20=0
discriminant:_________
nature of the roots:_______
3. 2x²—10x+8=0
discriminant:_________
nature of the roots:______
4. x²+5x+10=0
discriminant:__________
nature of the roots:_______
5.x²+6x+3=0
discriminant:_________
nature of the roots:________
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1. x²+6x+9=0 discriminant:_________ nature of the roots:________
2. x²+9x+20=0
discriminant:_________
nature of the roots:_______
3. 2x²—10x+8=0
discriminant:_________
nature of the roots:______
4. x²+5x+10=0
discriminant:__________
nature of the roots:_______
5.x²+6x+3=0
discriminant:_________
nature of the roots:________
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Answers & Comments
Answer:
1. Discriminant: 0
Nature of the roots: Real, equal, and rational
2. Discriminant: 1
Nature of the roots: Real, unequal, and rational
3. Discriminant: 64
Nature of the roots: Real, unequal, and rational
4. Discriminant: -15
Nature of the roots: No real roots
5. Discriminant: 24
Nature of the roots: Real, unequal, and irrational
Step-by-step explanation:
1. 6² - 4(1)(9)
36 - 36
= 0
2. 9² - 4(1)(20)
81 - 80
= 1
3. -10² - 4(2)(8)
100 - 32
= 64
4. 5² - 4(1)(10)
25 - 40
= -15
5. 6² - 4(1)(3)
36 - 12
= 24