Question

Please help.

Fine the missing number that makes the expression a perfect square. Next, write the expression in factored form. 64x^2-144x+___

Answer 1

HALPPPP

Answer 2

to make it a perfect square, it has to be in the form

a^2 - 2ab + b^2 = (a-b)^2

we have

64x^2 - 144x + ____

Answer 3

how can you rewrite 64x^2

so that way it's something ( )^2

Answer 4

^2 means squared btw

Answer 5

I'm glad you know that

what squared gives you 64?

Answer 6

8?

Answer 7

Yes

So do you agree that 64x^2 can be written as (8x)^2

Answer 8

no not 8

Answer 9

It's 8x

Answer 10

cause that could make 64x^2

Answer 11

Yes

Answer 12

yes, 8x good

so remember

\(\color{red}{a}^2 - 2\color{red}{a}\color{green}{b} + \color{green}{b}^2 = (\color{red}{a} - \color{green}{b})^2\)

and your equation can now be written as

\( \color{red}{(8x)}^2 - 144x + \text{____}\)

how do you find b?

Answer 13

remember that 144x is equal to 2ab

and we know that 'a' is 8x

so what would be the 'b' part?

144x = 2*8x * b

solve for b

Answer 14

is b the ___

Answer 15

missing number

Answer 16

the blank is going to be b^2

Answer 17

we're trying to solve for b^2 but first we have to figure out b

Answer 18

Im trying to figure out the unfactored equation

Answer 19

SO I need the FOIL equation to find the answer

Answer 20

reeee

Answer 21

yes, I know

but first we have to figure out what 'b' is

to complete the square to make it a perfect square, we need to find what 'b' is

so then we add b^2 so that way it becomes a perfect square and can be simplified to (a-b)^2

Answer 22

The FOIL equation will not help here

Answer 23

oof

Answer 24

88

Answer 25

?

Answer 26

nahh

Answer 27

I always doubt myself
:/

Answer 28

no

we know that the middle term is equal to 144x

and that the middle term is equal to 2ab

and a is 8x
because a^2 gives us 64x^2

so we need to figure out what b is to make 2ab as 144x

so plug in what we know

144x = 2*(8x) * b

what is 2 * 8x =

Answer 29

16x OOOOOOOOOOOOOHHHHH

Answer 30

Tysm lmao sorry

Answer 31

now divide that on both sides

Answer 32

144x / 16x = ?

Answer 33

oh wait

Answer 34

9x

Answer 35

we need to find 'b'

so that way we can find b^2

and no, remember there's an x in the numerator and denominator so they both get cancelled out

Answer 36

9

Answer 37

I meant

Answer 38

oh 81

Answer 39

yes

and so you're b is 9

so do you see how we can re-write it now?

\(\color{red}{a}^2 - 2\color{red}{a}\color{green}{b} + \color{green}{b}^2 = (\color{red}{a} - \color{green}{b})^2\)


\( \color{red}{(8x)}^2 - 2\color{red}{(8x)}\color{green}{(9)} + \text{____}\)


we have to add it by b^2 to make a perfect square

and we know that b = 9

so what is 9^2

Answer 40

81

Answer 41

there you go

does what we did make more sense now?

Answer 42

Yup

Answer 43

kinda

Answer 44

we had to find some number so that way it can be simplified into (a-b)^2

and so you take that middle number and divide it by 2a and then you square it

Answer 45

Tysm tho

Answer 46

No problem!

Answer 47

And you helped me level up :D

Answer 48

Im level 19 now :D

Answer 49

ALMOST ORANGEEE

Answer 50

ur level 20

Answer 51

i need to at least get to level 10
plz help me

Answer 52

plz give me a medal