Question

Can someone please help me how to do this
x-5 Over X squared - 10x+25

Answer 1

\[\frac{x -5}{x^2 - 10x + 25} \]

can you factor the denominator...?

Answer 2

i don't know how to

Answer 3

First try to find factors of bottom use Ac method for this

Answer 4

ok... well that will be a major problem for you in this question....

I'm sure someone will give you the answer....

Answer 5

Are you familiar with AC method ???

Answer 6

I'm surprised that that you are doing a question of this type without knowing how to factor a quadratic...?

Answer 7

no i don't recall

Answer 8

ok.... can you think of 2 factors of 25 that add to -10...?

Answer 9

yes -5 and -5

Answer 10

?

Answer 11

Correct

Answer 12

Now rewrite -10x in terms of -5 and -5 can you try ???

Answer 13

thats great and the factors of x^2 are x and x

so you problem in factored form is

\[\frac{(x -5)}{(x -5)(x -5)}\]

remove the common factor... whats left

Answer 14

hmm so would it be x-5

Answer 15

?

Answer 16

almost... what would be in the numerator..?

Answer 17

you have the denominator correct...

Answer 18

would it be 1?

Answer 19

great so the simplified version is

\[\frac{1}{x - }\]

Answer 20

oops

\[\frac{1}{x - 5}\]

Answer 21

We have to cancel out common terms from top and bottom like So we get ---- ?

Answer 22

So we remain with ------ ???

Answer 23

1 over x-5

Answer 24

thats it... well done

Answer 25

Awesome

Answer 26

Is it clear to you ????

Answer 27

thank you all!! you guys explained it very well

Answer 28

You are always welcome :)

Answer 29

i really appreciate the help
yeah its clear thank you

Answer 30

would you mind helping me with another one ?

Answer 31

sure please

Answer 32

Ask your question ???

Answer 33

i don't know how to type it in correctly

Answer 34

you can draw it using draw tool

Answer 35

its 1 over 5x -2= x-4 over 5x +3