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Mathematics 15 Online
OpenStudy (anonymous):

1/x+8+16/x^2-64=1 Solve the equation, its a rational expression, show me how please? :)

OpenStudy (anonymous):

OpenStudy (bahrom7893):

(x^2-64)=(x-8)(x+8), so common denominator is: (x-8)(x+8)

OpenStudy (bahrom7893):

((x-8)+16)/((x+8)(x-8))=1

OpenStudy (anonymous):

Oh thank you, so now I solve it?

OpenStudy (bahrom7893):

yea

OpenStudy (anonymous):

Ok ill try, and you can check it for me :)

OpenStudy (bahrom7893):

ok

OpenStudy (anonymous):

0=-x^2-x-72 is what i got so far...

OpenStudy (bahrom7893):

x-8+16=x^2-64 x+8=(x-8)(x+8) 1=x-8 x=9

OpenStudy (anonymous):

How did you get second part? And thank you.

OpenStudy (bahrom7893):

multiply both sides by (x-8)(x+8)

OpenStudy (bahrom7893):

((x-8)+16)/((x+8)(x-8))=1 ((x-8)+16)=(x+8)(x-8) x+8=(x+8)(x-8)

OpenStudy (bahrom7893):

divide both sides by x+8: 1=x-8 add 8 to both sides: 9=x

OpenStudy (anonymous):

Isnt the answer -8,9?

OpenStudy (anonymous):

i brought over -x-8 to the side with x^2-64 making it a trinomial, then I found those two answers.

OpenStudy (bahrom7893):

why bring it over. my solutions is right

OpenStudy (bahrom7893):

*my solution is right

OpenStudy (anonymous):

i asked a math teacher, finally found one, and he said i was correct, but ill give you a medal for trying :)

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