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# 9x^2-6x+1=0

Find the value of the discriminant
describe the number and types of roots
find the exact solutions bybusing the quadratic formula

### 2 Answers by Expert Tutors

David S. | Wise Math TutorWise Math Tutor
5.0 5.0 (58 lesson ratings) (58)
2
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.

Thank you sooo much!! I have understood every concept that my teacher has given the class, but the quadratic formula had given me some difficulty.

No problem Jazlynn.  You are welcome!
Bill F. | Best Math Tutor in the AreaBest Math Tutor in the Area
5.0 5.0 (238 lesson ratings) (238)
1
Jazlynn,

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

x =  -b±√b2 -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