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

Tutors, please sign in to answer this question.

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

Terri M.

Test Prep Specialist with 2400 SAT, 35 ACT, 770 GMAT, and 177 LSAT

New York, NY

4.9
(219 ratings)

Kathleen D.

Middle and high school math tutor

Franklin Square, NY

5.0
(9 ratings)

Noah C.

An Expert, Passionate SAT Instructor

New York, NY

5.0
(85 ratings)

- Algebra 1 3601
- Quadratic Equations 455
- Quadratic Functions 135
- Math 8218
- Algebra 4443
- Math Help 4699
- Word Problem 4537
- Algebra 2 3062
- Algebra Help 933
- Feet 21

## Comments