Question

major math help

Answer 1

@AZ

Answer 2

It's a similar concept but here's the formula for this

Answer 3

so basically

little segment * big segment = the other side segment multiplied by itself

and you have to be careful here because the big segment is 2 + x
It's the entire thing so you have to add it up

Answer 4

so 3*x=2squared?

Answer 5

no

the small segment is 'x'
the large segment is x + 2

the other side is sqrt(3)

and remember sqrt 3 * sqrt 3 = 3

so can you write it out now

Answer 6

sorry im confused

Answer 7

same

Answer 8

lol

Answer 9

lmao

Answer 10

so 3squared=x(x+2)

Answer 11

lol

Answer 12

it's square root of 3 squared

so \( (\sqrt{3}) ^2 \) and that is equal to 3

so we

3 = x(x+2)

can you distribute the x

Answer 13

so times x with everything in the ( )

Answer 14

x times x is x lol and x time 2 is 2 cause x is 1

Answer 15

x times x is x^2

no x is not one

so x times 2 is 2x

Answer 16

so what is x(x+2) equal to

Answer 17

i was right the first ime god i was thinking that but i 2nd guessed myself

Answer 18

can you write it all together now with a + sign in between

Answer 19

so 3=2x?

Answer 20

no no

Answer 21

oh ok

Answer 22

do you know how to solve a quadratic equation

Answer 23

no

Answer 24

so subtract 3 on both sides

x^2 + 2x - 3 = 0

what two numbers can multiply to get -3
and add up to 2

Answer 25

1 times -3 = -3

Answer 26

but it doesn't add to +2

but if you change it to -1 and +3

that does

do you see that?

Answer 27

so we have

x^2 + 2x - 3

and separate 2x into -1x + 3x

x^2 -1x + 3x - 3

can you factor it

x^2 - 1x
factor out x

3x - 3
factor out 3

Answer 28

the answer is -1?

Answer 29

no, how did you get that?

Answer 30

we need to factor

x^2 + 2x - 3 = 0

we said +2x can be written as -1x + 3x
since those two numbers add to +2 and multiply to give you -3

and so we have

x^2 - 1x + 3x - 3 = 0

and we need to factor it by grouping

x^2 - 1x
factor out x

3x - 3
factor out 3

what do you get?

Answer 31

im confused?

Answer 32

do you know how to factor out things

so for example we have
x^2 - 1x

we can factor out the x

(x^2 - 1x)
(x*x - 1*x)
and if we take out an x and move it outside the parenthesis, we get

x(x - 1)

that's how we factor it out

and it's the same thing that we had originally because if we distribute it back

x(x-1) = x^2 -1x

so you see? it's still the same thing but we're just re-writing it

Answer 33

now similarly

3x + 3

can you factor out the 3?

what is 3x divided by 3
and what is 3 divided by 3

Answer 34

3 divided by 3 is 1

Answer 35

yes

and 3x divided by 3 is going to be x

so when we factor it, we get

3x - 3

= 3(x - 1)

Answer 36

So now we have

x^2 - 1x + 3x - 3 = 0

x(x-1) + 3(x-1) = 0

and we can factor out the (x-1) from the two terms and get

(x-1) (x+3) = 0

Answer 37

and to solve for x

you should know that if we have
ab = 0
that means either a = 0
or b = 0

so either
x - 1 = 0

or x + 3 = 0

can you solve for x?

Answer 38

3x=0?

Answer 39

this is mad confusing

Answer 40

no

x - 1 = 0

add 1 to both sides

and for the other one

x + 3 = 0
subtract 3 on both sides

Answer 41

apples and oranges..

you can't just smash them together and call it one thing

x + 3 does not become 3x

Answer 42

-3x=-3 and -1x=-1?

Answer 43

x + 3 means x plus 3

and to move three to the other side to get x all by itself
you have to do the opposite of addition
since we're adding 3

so to undo that, we have to subtract on both sides

x + 3 = 0

subtract 3 on both sides

x + 3 - 3 = 0 - 3

+ 3 - 3 becomes 0

x = 0 - 3

and 0 - 3 is -3

Answer 44

im mad confused and is late

Answer 45

its*

Answer 46

look

x - 1 = 0

x is your apple
the -1 is your orange

we cannot add apples and oranges together

we're subtracting 1 from x

so to move that 1 to the other side, we have to do the OPPOSITE of subtraction
which is addition

Answer 47

so x=1

Answer 48

x - 1 = 0

what do you get if you add 1 to both sides?

x - 1 + 1 = 0 + 1

what is -1 + 1 = ??

what is 0 + 1 = ??

basically we want to know what x is equal to
and that means having 'x' all by itself

Answer 49

0+1 is 1

Answer 50

exactly
and -1 + 1 = 0

because if you have negative 1 and I give you a 1

it means you're at 0

think of negative 1 as in you're in debt and you owe someone 1 dollar
but now if you get 1 dollar, that means you can pay off your debt and now you have 0 debt

so now we got

x = 1

Answer 51

that's one of your answers

for the other one

x + 3 = 0

subtract 3 on both sides

x + 3 - 3 = 0 - 3

what is 3 - 3 = ??

and what is 0 - 3 = ??

Answer 52

x=3 sorry @AZ my computer died

Answer 53

nope nope

it's 0 - 3

it should be negative

Answer 54

oh sorry i didnt really read. -3

Answer 55

so id the first box 1 or 2nd box

Answer 56

??

Answer 57

so extraneous solution means that it is a solution that we solved for

but it isn't a real solution to the question

think about it, can the answer really be negative? so that one is going to be the second box since it's an extraneous solution

Answer 58

because the length of 'x' cannot be negative

Answer 59

oh ok