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Mathematics 18 Online
OpenStudy (gavin39):

Simplify completely quantity x squared plus 4 x minus 45 all over x squared plus 10 x plus 9 and find the restrictions on the variable. quantity x minus 5 over quantity x plus 1, x ≠ −1, x ≠ −9 quantity x minus 5 over quantity x plus 1, x ≠ −1, x ≠ 5 quantity x plus 5 over quantity x plus 1, x ≠ −1, x ≠ −9 quantity x plus 5 over x plus 1, x ≠ −1, x ≠ 5

OpenStudy (gavin39):

@Mertsj

OpenStudy (gavin39):

@hartnn

OpenStudy (anonymous):

\[x ^{2} + 4x - 45\] over \[x ^{2} + 10x + 9\] Is this the equation?

OpenStudy (gavin39):

Yes @DocLav

OpenStudy (gavin39):

Can you help me out?

OpenStudy (anonymous):

I can try.

OpenStudy (anonymous):

To simplify we need to factor the top and bottom.

OpenStudy (gavin39):

Im really bad at this stuff lol

OpenStudy (anonymous):

On the top the equation factors to \[(x + 9)(x - 5)\]

OpenStudy (gavin39):

I know its x-5 over x-1 but not sure on the last part of the equation

OpenStudy (anonymous):

The bottom factors to \[(x + 9)(x + 1)\]

OpenStudy (anonymous):

So you are able to cancel out the \[(x + 9)\] from the top and bottom.

OpenStudy (gavin39):

I think so

OpenStudy (anonymous):

Ultimately you are left with x- 5 over x + 1. This is your final answer

OpenStudy (gavin39):

Then what would be the end of the answer? since there is two x-5 over x+1

OpenStudy (anonymous):

|dw:1383713543736:dw|

OpenStudy (anonymous):

Does that help?

OpenStudy (gavin39):

IM trying to figure out this part at the end of the equations of the answers x ≠ −1, x ≠ −9

OpenStudy (anonymous):

So restrictions are where you can't have the top or bottom equal to 0.

OpenStudy (gavin39):

So then the answer would be B?

OpenStudy (anonymous):

So it would be the last one.

OpenStudy (anonymous):

Sorry , yeah B.

OpenStudy (gavin39):

Answer is D?

OpenStudy (gavin39):

OO ok cool cool

OpenStudy (anonymous):

You good?

OpenStudy (anonymous):

Thanks for the medal

OpenStudy (gavin39):

Yessir! Thank you!

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