Question

Calculate the discriminant of the Function shown and explain in complete sentences which method(s) could be used to solve.
using the graph and show work so i get it please

Answer 1

the discriminant of the equation
\[ax^2 + bx + x = 0\]

is
\[\Delta = b^2- 4ac\]

the discriminant tells us how many solutions the equation has, if its negative there are none, if its positive there are two, and if its zero there is one repeated solution

eg

\[5x^2 + 6x - 2 = 0\]
so:
a= 5
b= 6
c = -2
\[\Delta =b^2-4ac= 6^2 -4(5)(-2) = 36 +40 =76\]
which is positive so there are two solutions.

Answer 2

can you tell me the values of a, b, and c for your equation?

Answer 3

hello?

Answer 4

y = -0.57x^2 + 6.79x - 16.68
this is the equation idk if this is what you ment..

Answer 5

ax^2 + bx + c = 0
-0.57x^2 + 6.79x - 16.68 = 0

Could you match them to find your a, b, c = ..........
=> Δ = b^2−4ac = .....

Answer 6

@firebabe do you follow?

Answer 7

this is the answer i got ... 6.79^2 - 4(-.57) (-16.68) = 46.1041 - 38.0304 = 8.0737

Answer 8

yep

Answer 9

i dont get what it means by explain in complete sentences what methods can be used tho.. what does it mean what methods?

Answer 10

In order to solve for quadratic equation, you should have learned other much simpler method. Do you know which one?

Answer 11

like factoring or completing the square?

Answer 12

Correct, that's how you should elaborate on which method to solve!

Answer 13

its confusing to me with all the decimals D:

Answer 14

That's quite understandable! Practice more and asked the you'll be familiar with Δ in no time :)

Answer 15

Is it possible to solve this problem with factorization method?

Answer 16

uhm..

Answer 17

The answer is Nope --> the only method for this one is applying Δ!

Answer 18

what is the quadratic formula method?

Answer 19

Δ=b^2−4ac
You've just learned it, remember!

Answer 20

oh, haha i knew that! sorry!

Answer 21

When you start learn new stuff: Learn WHAT it is + HOW to process :)

Answer 22

I'm glad you've learned this cool quadratic method from this site :)

Answer 23

well you made it easier for me, thanks! this is lame Q. but why cant i use factoring or completing the square

Answer 24

You just factor when you can guess P (product) and S (sum) of the roots, while quadratic method is applied for ALL quadratic equation ( second degree polynomial :)

Answer 25

man you still on this problem? good lord!

Answer 26

tell me about it...

Answer 27

its a long activity!