Question

i ams truggling with this graph can someone please help me?
What is the possible discriminant of the graph?

Answer 1

file attached below

Answer 2

@austinL

Answer 3

@sumi29

Answer 4

@Peasant1
@julian25

Answer 5

theses are my choices:
–15

0

17

25
i think its -15 but i am not sure

Answer 6

@whpalmer4

Answer 7

@terenzreignz

Answer 8

It has two real roots, so the discriminant has to be something positive...

Answer 9

if the discrimiant is negative then u will have complex solutions

Answer 10

oh ok it wouldn't be zero so it is either 25 or 17 so by looking at the graph i am thinking it will be 17

Answer 11

u r right

Answer 12

I'm a bit uncertain in that regard, but I'd go for 17 too...

Answer 13

it cant be 25
cuz 25 =5^2
and that meants integres soltuons like 1, 2, 3 ,4....

Answer 14

No, it means rational solutions, but not integer solutions @julian25

Answer 15

ok thanks for explaining this to me i struggle with graphs

Answer 16

ohhh yes

Answer 17

I mean, not *necessarily* integer solutions.
That's why I'm still uncertain :D

Answer 18

but u have irrational solutions there

Answer 19

We don't know that, LOL
the graph doesn't say anything :D

Answer 20

This is a parabola, from the looks of it. Vertex will be halfway between the two crossings of the x-axis, at \(x =\frac{1}{2}(-4.56155-0.43845) = 2.5\) Equation of the parabola will be \[y = k(x + 4.56155)(x+0.43845)\]\[y = k(x^2+5x+2)\]with a suitable value of \(k\) to run it through whatever the y-coordinate of the vertex is. Doesn't matter for our purposes.

Discriminant is \(b^2-4ac\) and we have \(a = 1, ~b= 5, ~c =2\)