Question

Please help me with more algebra one :)

A quadratic equation is shown below:

3x2 − 16x + 2 = 0

Part A: Describe the solution(s) to the equation by just determining the radicand. Show your work. (5 points)

Part B: Solve 9x2 + 3x − 2 = 0 by using an appropriate method. Show the steps of your work, and explain why you chose the method used.

Answer 1

Please help me :)

Answer 2

Do you know the quadratic formula?

Answer 3

@MeMyselfAndPi

hint: you'll use the discriminant formula

\[\Large D = b^2 - 4ac\]

for part A

Answer 4

Please help me :)

Answer 5

did that hint help at all? are you able to determine the values of a,b,c?

Answer 6

Sorry for the delay..

Answer 7

Had to do something really fast..

Answer 8

Let me try to fill this in..

Answer 9

@jim_thompson5910 Sorry for late response, I filled it in and got (−16)2−4×3×2 which simplified to 232.

Answer 10

And doesn't that tell me that it has 2 solutions? (Since it is positive)

Answer 11

Yes.

Answer 12

Ok, on to Part B....

Answer 13

yes, D = 232 so D > 0 meaning that we have 2 real solutions. The two solutions are different from each other.

because D is not a perfect square, the solutions are going to be decimal numbers

Answer 14

Since 232 is not a perfect square, the solutions are irrational.

Answer 15

Alright.

Answer 16

So for Part B do I factor?

Answer 17

9x^2 + 3x − 2 = 0
(3x−1)(3x+2)=0
3x−1=0 or 3x+2=0

Answer 18

1/3 and -2/3?

Answer 19

I chose to factor because it seemed like the easiest way for me to do it...

Answer 20

Yes. You did that very well.

Answer 21

:)