SOLUTION: Please help me solve this Quadratic equation. 9x^2+6x-4=0 I have solved it down to -6 sqrt 180 / 18. this is also the same as your sight gave me, but the answer key says t

Question 223760: Please help me solve this Quadratic equation.
9x^2+6x-4=0
I have solved it down to -6 sqrt 180 / 18.
this is also the same as your sight gave me, but the answer key says this.
-1 sqrt 5 / 5
Found 3 solutions by brich, drj, edjones:
Answer by brich(7)   (Show Source): You can put this solution on YOUR website!
Do you know the quadratic formula?
It appears that you do.
your sqr_root(180) reduces to 6sqr_root(5) by the way
so now you have:
[-6(+/-)6sqr_root(5)]/18
pull/factor a 6 out of the numerator
6[-1(+/-)sqr_root(5)]/18
6/18 reduces to 1/3
so the final answer i'm coming up with and you seem to already have is:
[-1(+/-)sqr_root(5)]/3
I appears as if the answer key is incorrect
Your answer appears correct but make sure you simplify like I pointed out
That all
I hope that was helpful
Let me know if you are still confused
Answer by drj(1380)   (Show Source): You can put this solution on YOUR website!
Please help me solve this Quadratic equation.

Solved by pluggable solver: SOLVE quadratic equation with variable

Quadratic equation (in our case ) has the following solutons:

For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=180 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 0.412022659166597, -1.07868932583326. Here's your graph:

and

So, you are in the right track.

I hope the above steps were helpful.

For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

Good luck in your studies!

Respectfully,
Dr J

Answer by edjones(8007)   (Show Source): You can put this solution on YOUR website!
[-6+-sqrt(180)]/18 is what you got NOT what you posted.
=[-6+-sqrt(36*5)]/18
=[-6+-6sqrt(5)]/18
=[-1+-sqrt(5)]/3 better
.
Ed
RELATED QUESTIONS
Use the quadratic formula to solve the following equation: 9x^2 - 12x = 4 The... (answered by Edwin McCravy)
How do i find the zeros of this equation {{{ 6x^3+5x^2-9x+2 }}} I have tried to... (answered by KMST,Fombitz)
Hello my name is Juan I'm in college, but I have a big problem I have 3 questions... (answered by Alan3354,addingup)
Would you help me figure out this problem? I seem to mess up on signs. This is not... (answered by richard1234)
Hi, I solved this quadratic equation but was not sure how to finalize my answer. I... (answered by stanbon)
Hi, Can you please help me? . Quadratic Equations ( You solve this problem same as... (answered by checkley77)
-4x^2-9x-6=0 please help me solve this quadratic... (answered by mananth)
I am supposed to find the imaginary solution to the following equation and check my... (answered by anjulasahay)
I solved this quadratic equation and wanted to make sure I wrote the answer correctly.... (answered by ewatrrr)