Question

What is the possible discriminant of the graph?

-11
0
25
73

GRAPH BELOW!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1

Answer 1

first two are out because this has two real zeros

Answer 2

My answer was C

Answer 3

Just by looking nat where theyre pinpointed

Answer 4

no that is out also for the following reason
if the discriminant is a perfect square, the the zeros will be rational number
it looks like your zeros are not rational

Answer 5

hmmmm

Answer 6

at least that is what is suggested by the picture. that the zeros are some irrational numbers

Answer 7

I see that as well now looking closely

Answer 8

when you use the quadratic formula you take \(\sqrt{b^2-4ac}\) as part of it. if \(b^2-4ac=25\) then you would get \(5\) and so your zeros would be integers or fractions

Answer 9

In this case, integers

Answer 10

What would I plug into the formula?

Answer 11

Hey, but any number with a finite number of decimals is a rational number.

Answer 12

not sure what you mean

Answer 13

Nothing

Answer 14

@ivanmlerner totally agreed, but this problem looks like it was made up by some math teacher
of course the discriminant could be 25 and the zeros could be some fractions
the question is not a good one

Answer 15

I mean that the numbers that are in the graph are rational.

Answer 16

they are labelled as such i am assuming that they are rounded. of course i am making an assumption and again, the problem is not a good one
a correct answer would be "not enough information"

Answer 17

then again maybe i am totally wrong
what do the points actually say?

Answer 18

I'm going with 25, because that's the only one I can actually back up

Answer 19

Actually you have enouth information, you have two simetric points and with that you can find the x of the vertex that do not depend on c (ax^2+bx+c). With that you are left with two points that must satisfy an equation with two unknown variables, so it is possible.

Answer 20

Thank you very much for your time, you're incredibly gracious

Answer 21

But you are probably right @satellite73

Answer 22

@InsanelyChaotic can you write what those coordinates actually are? i can't read them

Answer 23

discriminate = b62 - 4ac? and yes

Answer 24

-5, -1

Answer 25

discriminant is \(b^2-4ac\) yes
i was trying to read the coordinates of the graph you posted, but i cannot

Answer 26

if the zeros are \(-5\) and \(-1\) it must be from some other graph
however, if those are the zeros then the discriminant must be a perfect square, so it could be 25 and could not be 73

however, that is not what it looked like from the graph

Answer 27

I think I made a slight error, and it's actually 75

Answer 28

@satellite73 I was thinking about earlier, and I realized that even if the zeros are irrational, the discriminant can still be a perfect square.