Question

A quadratic equation is shown below:

x2 - 8x + 13 = 0

Which of the following is the first correct step to write the above equation in the form (x - p)2 = q, where p and q are integers?

Subtract 5 from both sides of the equation

Subtract 3 from both sides of the equation

Add 5 to both sides of the equation

Add 3 to both sides of the equation

Answer 1

do you know how to complete the square?

let's practice

do you think x^2-2x+1 can be written as a square?

Answer 2

yes

Answer 3

@myininaya

Answer 4

i was thnking it was D?

Answer 5

can you write is as a square for me?

Answer 6

(X-1)^2

Answer 7

okay so if you do that then we have
x^2-8x+13+3=0+3
x^2-8x+16=3

Answer 8

so are you think x^2-8x+16 can be written as square?

Answer 9

and you are right about my example

Answer 10

Yes

Answer 11

x^2-8x+16 can be written as (x- ? )^2

Answer 12

what is ?

Answer 13

(x-4)^2

Answer 14

yeah

Answer 15

you did this all by yourself @kristinak

Answer 16

yeah but i still dont know the answer

Answer 17

you are saying we have (x-4)^2=3

Answer 18

4 and 3 are totally integers

Answer 19

so its b?

Answer 20

:(

Answer 21

Can you tell me where you are confused on your first choice?

Answer 22

i thought you said i was wrong when i said it was D?

Answer 23

never said that

Answer 24

i simply was working through what D would have given us

Answer 25

do you not think 4 and 3 are integers?

Answer 26

No they are

Answer 27

thank you so much, sorry i was confused

Answer 28

its okay

Answer 29

can you help me with another?

Answer 30

alright

Answer 31

one moment

Answer 32

@myininaya

Answer 33

its the screenshot

Answer 34

can you find the vertex for the first one?

Answer 35

one moment

Answer 36

(70,55)

Answer 37

am i right?

Answer 38

beautiful!

Answer 39

now the vertex is very important for consider the min or even the max for a parabola
that is why i asked
for the other graph i think a good way to approximate the vertex is just plot those points given

Answer 40

i want you to speculate on what you think the vertex is

Answer 41

now it helped me to actually plot the points
so i encourage you to do so

Answer 42

tell me what you think looks like the middle point of that graph

Answer 43

(1,899.50)

Answer 44

that is very great

Answer 45

now the y values for each of these points is the amount of min production cost from each graph

Answer 46

aka lowest y value for each graph

Answer 47

the question ask you to compare the y values basically
it ask which one is greater

Answer 48

company 2?

Answer 49

right because 899.5>55
so company 2 has a bigger min production cost

Answer 50

thank you!! can you help me with like 2 or 3 more?

Answer 51

honestly
i cannot
i have to leave
i suggest posting a new question

Answer 52

oh okay thank you

Answer 53

np
have a great night