Question

@3mar is this correct brother

Answer 1

Hello!
Welcome back!


The discriminant is \(b^2-4ac\) and there are three cases of it:
\(b^2-4ac=0\): one real root.
\(b^2-4ac<0\): complex conjugate
\(b^2-4ac>0\): two real unequal roots

I think this would help you also.

Answer 2

the graph shows which case of them?

Answer 3

Negative?

Answer 4

What do you think the root is?

Answer 5

Is the root negative?

Answer 6

The root is the position at which the curve touches\cross\intersect the a-axis, and it is also the value(s) of x that satisfies the equation!

Answer 7

Oh so positive?

Answer 8

Please respond me at this: how many roots (how many times) showed in the figure that the curve touches\cross\intersect the a-axis?

Answer 9

0

Answer 10

Let me show you with more magnification!

Answer 11

You're right. My mistake. Sorry. However, you and I covered the exact same material just a few minutes ago. It's important that you learn to transfer learning from a familiar situation to a new one.

Answer 12

I understand but learning something takes practice, which is why I took a try from the material YOU taught me. I was checking to see if I was right

Answer 13

@3mar oh okay so (3,0)

Answer 14

That is great!

and now..
which case is that?

b2−4ac=0: one real root.
b2−4ac<0: complex conjugate
b2−4ac>0: two real unequal roots

Answer 15

one real root?

Answer 16

YES....You are Awesome!
so what is the discriminant equal to?

Answer 17

0?

Answer 18

@zarkam21 and @3mar, there are always TWO roots when you're dealing with a quadratic equation. If the discriminant is zero, as it is here, you have TWO equal, real roots.

If the discriminant is positive, you have TWO unequal, real roots.

If the disc. is negative, you have TWO complex roots (which includes the possibility of TWO imaginary roots).

Answer 19

So 2 equal real roots are this =)

Answer 20

\[\Huge\color{Coral}\checkmark\]
Correct!

It is the case of zero discriminant!

Answer 21

\[\Huge\color{Coral}\checkmark\]

Answer 22

;)

Answer 23

Choice D =)

Answer 24

\[\Huge\color{Coral}\checkmark\]

Answer 25

Clarification....
The question asks about the discriminant, not the number of roots, and the discriminant is determined according to how my times the curve touches the x-axis ....

Answer 26

so it would be choice D right?

Answer 27

Yes, and build up your self-confidence!
You know that is D and I am sure that you are correct....stop 2nd guessing yourself!