anonymous
  • anonymous
I have my answer, just want to know if the discriminant is right.. y=x^2-5x-8 y=x 2 real solutions and a discriminant of 68.
Mathematics
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
Would the discriminant be 68 or 17?
anonymous
  • anonymous
Hero
  • Hero
Would you mind showing your work ?

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anonymous
  • anonymous
Yeah one second. I used the quadratic formula -b+-sqrt b^2 - 4ac/2a
Hero
  • Hero
Do you know what kind of problem this is you're working on?
anonymous
  • anonymous
Yes. I just want to know if my answer is correct
anonymous
  • anonymous
It says "use the discriminant to find the number of solutions for each system."
freckles
  • freckles
\[\text{ the disciminant of } y=ax^2+bx+c \text{ is } b^2-4ac\]
anonymous
  • anonymous
I know
freckles
  • freckles
then how did you get two solutions?
freckles
  • freckles
discriminant will only be one number
anonymous
  • anonymous
Because the answer it gives me is 6+-sqrt68/2 so I was wondering if the discriminant would be 68 or 17 once you simplify it.
freckles
  • freckles
so you didn't use the formula I wrote...
anonymous
  • anonymous
I did!!
freckles
  • freckles
b^2-4ac is going to give you the discriminant
freckles
  • freckles
then how did you get + or - for the discriminant ?
anonymous
  • anonymous
So it would be 68
freckles
  • freckles
D=b^2-4ac and you have a=1 b=-5 c=-8 just plug in D=(-5)^2-4(1)(-8) this shouldn't give you 68
anonymous
  • anonymous
Yes it should. You set the two equations equal to each other and get x^2-6x-8=0
freckles
  • freckles
I see y=x^2-5x-8
anonymous
  • anonymous
Why?
anonymous
  • anonymous
Yes, but there is also the y=x
freckles
  • freckles
because I thought the question was find the discriminant of y=x^2-5x-8? Is that not the question?
anonymous
  • anonymous
So once you put them equal to each other
anonymous
  • anonymous
Read the entire thing. It is a system. You know with the little {
anonymous
  • anonymous
{y=x^2-5x-8 {y=x
freckles
  • freckles
Oh I think you are trying to see how many solutions to the system there are I didn't understand the question because the question wasn't actually given in the title
anonymous
  • anonymous
Yes....
anonymous
  • anonymous
I just wanted to know if the 68 would give me 2 real solutions
anonymous
  • anonymous
Is all I was asking
freckles
  • freckles
Yes replace y with x in the first equation \[x=x^2-5x-8 \\ 0=x^2-6x-8 \\ a=1\\ b=-6 \\ c=-8 \\ D=b^2-4ac=(-6)^2-4(1)(-8)=36+32=68>0\] yes 68>0 so that means you have two solutions
anonymous
  • anonymous
Thank you!
anonymous
  • anonymous
Is what I was saying all along, but... :/
freckles
  • freckles
It might be good to post the full question in the title next time. It would be very helpful.
anonymous
  • anonymous
Alright, alright.. Thank you nontheless
freckles
  • freckles
Like determine the number of solutions to the system :p
anonymous
  • anonymous
*nonetheless
freckles
  • freckles
and np

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