Question

CAN SOMEONE HELP? <3

Answer 1

Do you know how to complete the square?

Answer 2

sorta

Answer 3

(x+6)^2 = 5 is the form

Answer 4

solution would be x=\[\pm \sqrt{5} - 6\]

Answer 5

for which the top or bottom?

Answer 6

for top, the "form" was the (x+6)^2 = 5 part. The second one is the solution

Answer 7

so what is the solution? @incomplte

Answer 8

ughh it has two solutions, \[(+\sqrt{5}-6), (-\sqrt{5}-6)\]

Answer 9

ok got the answer can you help with another?

Answer 10

@incomplte can you show me how you got the form?

Answer 11

yes ma'am. Hopefully i can explain properly through this medium, but i'll try.

Answer 12

ok thank you (:

Answer 13

\[x^2 + 12x +31 = 0\] that was the question. the first thing you want to do with completing the square is to the move the constant outside

Answer 14

so that will be x^2 + 12x = -31

Answer 15

ok, i understand, keep going

Answer 16

then the next step, which is basically the hardest part, is to divide the "b" part of the equation by 2, then square it, and add to both sides. So let me show you.

Answer 17

\[x^2 + 12x +36 = -31 + 36\]
so what i did was to divide 12, by 2 = 6. then square it = 36. then add to both sides

Answer 18

Do you get it?

Answer 19

how come 2?

Answer 20

It's just the process. Everytime you see a complete the square method, you should always divide the "b" by 2, then square the result.

Answer 21

ok I'm going to post another and try to do it on my own, will you tell me if im doing it correctly?

Answer 22

Yes i will be here.

Answer 23

okay so this is the question

Answer 24

what did you get as your form?

Answer 25

wait, where did 36 come from? so far im at x^2+2x=12

Answer 26

when you divide the "b" by 2, then you have to square it and add it to both sides of the equation. This is what they mean by "completing the square"

Answer 27

so 12/2^2?

Answer 28

for the first question, yes. (12/2)^2 = 36

Answer 29

ok so it should be 36?

Answer 30

for the first question it would be 36. But for this new one it can't be 36. because 2x is the "b" part of this equation. So if you do (2/2)^2=?

Answer 31

ok im not getting it then.

Answer 32

do you understand what i mean by the "b" part, overtime i say that?

Answer 33

i understand to subtract it. thats about it

Answer 34

damn this is really hard to explain over the internet lol

Answer 35

lol i know they dont believe in just giving the answer on here but you can also do that lol i ust have to answer 2 more right to move on to the next lesson

Answer 36

ok haha the form for it would be (x+1)^2= 13

Answer 37

solution would be (+sqrt(13) -1, -sqrt(13) -1)

Answer 38

the solution has to be in decimal form

Answer 39

@incomplte

Answer 40

do you have a calculator? i don't have one here

Answer 41

yes just tell me what to plug in

Answer 42

\[(-\sqrt{13}-1, \sqrt{13} -1)\]

Answer 43

there you go

Answer 44

@incomplte

Answer 45

the completed square is x=5+- radical 6

Answer 46

what is the form and the decimal