Question

What is the quotient (5-x)/(x^2+3x-4) divided by (x^2-2x-15)/(x^2+5x+4) in simplified form? State any restrictions on the variable

Answer 1

\[\frac{ 5-x }{ x^{2} +3x-4}\div \frac{ x^{2}-2x-15 }{ x^{2}+5x+4 }\]

Answer 2

Factorise the quadratic expressions. Change the division sign to multiplication by taking reciprocal of the 2nd part of equation. See if things cancel out

Answer 3

Uh, what? Could you pretty please break it down really simple?

Answer 4

-(x-5)/ (x + 4) ( x - 1) * (x + 4) ( x + 1)/ (x - 5) ( x + 3)

(x+4) out and (x - 5) out
-(x+1)/(x+3)(x-1)

Mathes on pc = hell

Answer 5

okay. Can you factorise all the quadratic expressions?

Answer 6

@TrojanPoem tell him/her how to do it. Not the answer...

Answer 7

I thought , if he saw it answered , he would understand how it's done.

Answer 8

*she
And I would like to have the process rather than just the answer, thank you though.

Answer 9

@TrojanPoem Can you help me with more?

Answer 10

Of course.

Answer 11

Solve the complex fraction x/x+3/1/x+1/x+3

Answer 12

sorry that looks bad, I hate using the equation gadget on here

Answer 13

okay Maggie. So we factorise quadratic expressions likes this. \[x ^{2}+3x-4\]
You have to break the middle term in such a way that it adds up to get 3x again, but the broken parts multiply to give \[x ^{2} \times -4\]

Answer 14

x/x+3/1/x+1/x+3 Looks horrible that way LOL

Answer 15

Use the EQN and I will try to make you solve it not me.

Answer 16

So it means I have to break my middle term to get \[-4x ^{2}\].
My middle term's 3x. I can break it into 4x - x
This will add up to give 3x again, but will multiply to give -4x^2
Now you let the broken part be as it is and factorise by taking something common

Answer 17

a sec

Answer 18

If you want to simplify it just * (x)(x+3) and It will be
(x^2) / (2x+3)

Answer 19

Thanks! I may need more help, will you be online for a while?

Answer 20

Not so long , like 10 min more.

Answer 21

Okay, well thanks for your help!

Answer 22

But did you understand how to solve it ?

Answer 23

yes!