Question

Make me proud! ;D

Answer 1

1) Put these in standard form:

One function, f(x), with two real rational solutions.
One function, g(x), with two real irrational solutions.
One function, h(x), with two complex solutions.
Create these three functions and explain how you know these functions meet each condition. Use complete sentences.
(Hint: Make sure that the b is even on g(x).)

2) Explain how to convert f(x) into the general, vertex form of the equation. Use complete sentences. You may use the f(x) you created in question 1 as an example.

3) Find the solutions of g(x). Show each step.

4) Justify if completing the square is a good method for solving when the Discriminant is negative. Use any of your three functions as an example and respond in complete sentences.

Answer 2

hey,

we can construct f(x) with two real rational solutions by doing this :

f(x) = (x-3)(x-2)
in this case 3 and 2 will be our solutions.
now we need to put it in standard form : f(x) = a(x-h)^2 + k

so f(x) = x^2 -5x + 6
complete the square..:
f(x) = (x-2.5)^2 - 0.25
(you can check and verify that it is the same as x^2-5x+6)

can you do now the two irrationals ?
im here for you :)

Answer 3

Hi! Thank you & how do you do irrationals?? @Coolsector

Answer 4

still need me ?

Answer 5

Yes

Answer 6

so for irrationals we will pick instead of the 2 and 3
irrational numbers such as sqrt(2) and sqrt(3)

Answer 7

and do the same that we did with the 2 and 2 case

Answer 8

is it ok ?

Answer 9

I don't get it...

Answer 10

i use the form
f(x) = (x-a)(x-b)
a and be are the solutions.
so if we pick a and b rationals we will have rational solutions
if we pick a and be irrational we will have irrational solutions
understand ?

Answer 11

sort of

Answer 12

so can you give me example of 2 irrational numbers ?

Answer 13

\[\LARGE \sqrt{3} and \sqrt{99}\] ??

Answer 14

ok good (i gave an example of sqrt(2) and sqrt(3))
sqrt means square root

now you plug them instead of a and b and simplify it