Find the value of the discriminant

describe the number and types of roots

find the exact solutions bybusing the quadratic formula

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Hi Jazlynn, The discriminant is b squared minus 4ac.

In this case it would be minus 6 squared minus 4 times 9 times 1 or 36-36 or zero.

Therefore the roots are real but there is only one repeated solution. (3x-1)(3x-1) x=1/3.

Jazlynn,

David did a great job explaining the answer to you. Using the quadratic formula is not so tough. It takes practice.

x = -b±√b^{2 }-4ac

2a

a = 9

b = -6

c = 1

So,

x = -(-6)±√(-6)² - 4(9)(1)

2(9)

x = 6±√36 - 36

18

x = 6 ± 0

18

x = 1/3

Same answer, but this time using the quadratic equation. :)

Bill

El Paso, TX

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