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Mathematics 16 Online
OpenStudy (anonymous):

Help please

OpenStudy (anonymous):

x/x+5=x-4/x

OpenStudy (anonymous):

@xapproachesinfinity

OpenStudy (anonymous):

i am going to guess that this is \[\frac{x}{x+5}=\frac{x-4}{x}\] is that correct?

OpenStudy (anonymous):

Yes

OpenStudy (anonymous):

then since \[\frac{a}{b}=\frac{c}{d}\iff ad =bc\] start wotj \[x^2=(x-4)(x+5)\] and solve that one

OpenStudy (anonymous):

*with

OpenStudy (anonymous):

Yes i agree with that then after expanding the equation i got x^2=x^2+x-20

OpenStudy (anonymous):

I can not go further than that

OpenStudy (anonymous):

subtract \(x^2\) from both sides

OpenStudy (anonymous):

Okay i think i can take it from here But hold on to check if am correct

OpenStudy (anonymous):

ok

OpenStudy (anonymous):

x=20

OpenStudy (anonymous):

Am i correct

OpenStudy (anonymous):

i think so you want to check it?

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

\[\frac{x}{x+5}=\frac{x-4}{x}\] put \(x=20\) get \[\frac{20}{20+5}=\frac{20-4}{20}\]

OpenStudy (anonymous):

or \[\frac{20}{25}=\frac{16}{20}\] true or false?

OpenStudy (anonymous):

true

OpenStudy (anonymous):

then you are right

OpenStudy (anonymous):

4/5 in both sides

OpenStudy (anonymous):

zactly

OpenStudy (anonymous):

Thanks

OpenStudy (anonymous):

yw

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