Find the value of the discriminant

describe the number and types of roots

find the exact solutions bybusing the quadratic formula

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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Lancaster, NY

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.

Lynchburg, VA

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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