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Vanessaandaya505go
Answered

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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Sagot :

Dominicmalit33go

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

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