Question

What is the simplified form of 4x^2-20x+25/2x-5

Answer 1

and what are the restrictions plz explain so i can do the rest of examples

Answer 2

that doesnt help i wasnt asking for that i want an explanation

Answer 3

oh

Answer 4

yea

so can you explain

Answer 5

so u want to kno how to simplify that right

Answer 6

yes

Answer 7

like evertyhing how to get the restritiond

Answer 8

restrictions*

Answer 9

yeah im not sure @ZeHanz any ideas

Answer 10

how did you get the answer you gave me

Answer 11

im that type of person where i dont want food sped to me on a silver platter

Answer 12

i want a explanation

Answer 13

plz?

Answer 14

If you want to simplify a fraction, there has to be some common factor in numerator and denominator.
The denominator has only 2x-5 so that is the only factor.
It is a good idea to factor the numerator then. Hopefully, 4x^2-20x+25 will contain 2x-5 as a factor, so we can simplify!

Answer 15

ok the restrictions

Answer 16

What did you have in mind?

Answer 17

know i wanna know how to get that i dont understand that

Answer 18

no*

Answer 19

Or, to be more specific, in the kind of form you are dealing with, what kind of restriction could you think of?

Answer 20

x not equal to 5/2

Answer 21

There you go!

Answer 22

i mean negative

Answer 23

ok

Answer 24

i meant x not equal to -5/2

Answer 25

Stay positive on this one, dear!

Answer 26

just explain

Answer 27

im on negative

Answer 28

2*(-5/2)-5=-5-5=-10 >> dividing by -10 is not a problem.

Answer 29

i just dont understand the restrictions part

Answer 30

look here are the answers
choices

Answer 31

We don't need choices, we need to think.

Why would there be any restrictions?
Let's look at the numerator: can you calculate 4x²-20x+25, no matter what x is?

Answer 32

theres restrictions on my problem and i dont even know what the heck that is

Answer 33

thats the part thats confusing me can you kindly explain that part

Answer 34

I'm trying:

Why would there be any restrictions? Let's look at the numerator: can you calculate 4x²-20x+25, no matter what x is?

Answer 35

yes its 2x-5

Answer 36

No, the numerator is 4x²-20x+25.
Can you calculate 4x²-20x+25, no matter what x is?

Answer 37

no

Answer 38

that doesnt make sense isnt there suppose to be =0

Answer 39

4x^2-20x+25=0 can you calculate that you meant

Answer 40

Why? All you need to do is the following:

1. calculate 4x². can do that for every x!
2. subtract 20x. no problem
3. add 20. no problem.

See? You can put ANY number in 4x²-20x+25, no matter what x is! There will always be an outcome.

Denominator 2x-5: exactly the same: we can double the value of ANY number and then subtract 5.

Yet, there IS a value of x may may NOT use if we have to do with 4x²-20x+25 and 2x-5 what has to be done: we have to divide 4x²-20x+25 by 2x-5.

When can you not divide?

Answer 41

ok you get 2x-5

Answer 42

when you divide but still your not explaining me how to get restrictions

Answer 43

I am doing it all the time, but you have to read carefully what I wrote.
We choose some (any) x.
All we have now is two numbers: the value of 4x²-20x+25 and the value of 2x-5.

Now we need to divide the two.
You must ask yourself this question: can I always divide two numbers, no matter what the numbers are?

Answer 44

yes

Answer 45

So tell me how much is 3/0

Answer 46

0

Answer 47

If that was true, then I could check this calculation in this way:

18/3=6, so 6*3 = 18, right?

So if 3/0 = 0, then 0*0=3?

Answer 48

no

Answer 49

0*0 doesnt equal 3

Answer 50

Of course not!
It is worse than that: if 3/0=a, then a*0=3. There isn't a number to be found that multiplied with 0 would give 3!

So: 3/0 cannot be done. That's the restriction.

Answer 51

You always have to remember this very important fact:

You cannot divide by zero!

Answer 52

ok can you use that example in the problem i gave u and maybe i will understand it

Answer 53

In the problem you have to divide by 2x-5. If you set x such that 2x-5 becomes 0, you have a problem, because you cannot divide by 0.
So when IS 2x-5=0?

Well, then 2x=5, and x=5/2.

So the one and only number that you may NOT use in this division, is x =5/2, because it would lead to division by 0.

Answer 54

and you can divide by zero 5/0=0

Answer 55

0/5=0

Answer 56

dividing 0 by 5 is no problem. Check: 0/5=0, because 5*0=0 OK

Answer 57

whats 0/5

Answer 58

its 0 isnt it

Answer 59

Yup!

Answer 60

ok your still not making sense

Answer 61

did you explain it how the problem i gave u

Answer 62

Well, I am: 0/5=0 because 5*0=0.
Seems senible enough!

Answer 63

ok i understand that but how does that help me with my problem

Answer 64

A lot. In your problem you have to do 2 things:

1. Simplify the fraction. (I gave you a hint way up in this topic)
2. State restrictions on the variable. We found this restriction: x may not be 5/2.

So you still have to do 1., but your questions focused on 2. all the time...

Answer 65

im asking how to get number 2

Answer 66

and your giviving me examples off other things

Answer 67

We have done that. Restriction found: x may not be 5/2.

Answer 68

0/5=0 3/0=0 etc.

Answer 69

how

Answer 70

your just giving me the answer explain

Answer 71

plz?

Answer 72

the restrictions

Answer 73

i dont get

Answer 74

i get everything else

Answer 75

can you put that in math form plx

Answer 76

oh

Answer 77

and that would be x not equal to 5/2

Answer 78

I live in USA, but im jamaican

Answer 79

can you explain

Answer 80

read the problem cause im getting different answers

Answer 81

which is

Answer 82

x not equal to -5/2

Answer 83

can i just solve for x and set =0

Answer 84

its -2x-5=0

Answer 85

but if i solve i still get 5/2

Answer 86

x not eqqual to 5./2

Answer 87

ok

Answer 88

after an hour i finally get it

Answer 89

Thank you so Muhc

Answer 90

ok