anonymous
  • anonymous
HEEEY ALL WHO WANTS A MEDAL AND EXTRA FAN???? 2x+3/x-4 - x-5/x+2
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
Are you trying to find out what x=?
anonymous
  • anonymous
no just subtracting
anonymous
  • anonymous
((2x+3)/(x-4)) - ((x-5)/(x+2)) That's the problem?

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anonymous
  • anonymous
yes
anonymous
  • anonymous
look for the LCD! Since you don't know what x is, you can just use any common denominator. One would be (x + 2)(x - 4): (2x + 3)/(x - 4) - (x - 5)/(x + 2) (2x + 3)(x + 2)/(x + 2)(x - 4) - (x - 5)(x - 4)/(x + 2)(x - 4) [(2x + 3)(x + 2) - (x - 5)(x - 4)] / (x + 2)(x - 4) now expand the numerator(s): [(2x² + 4x + 3x + 6) - (x² - 4x + 2x - 8)] / (x + 2)(x - 4) (2x² + 4x + 3x + 6 - x² + 4x - 2x + 8) / (x + 2)(x - 4) organize: (2x² - x² + 4x + 3x + 4x - 2x + 6 + 8) / (x + 2)(x - 4) (x² + 9x + 14) / (x + 2)(x - 4) (x + 7)(x + 2) / (x + 2)(x - 4) cancel out (x + 2) Answer: (x + 7) / (x - 4)
anonymous
  • anonymous
actually the answer is (x^2+16x-14)/((x-4)(x+2))
anonymous
  • anonymous
wait but why'd you get a different answer?
anonymous
  • anonymous
I was completely wrong
anonymous
  • anonymous
ohhhhh... can you show me the right way to solve it? I'm really confused.
anonymous
  • anonymous
yes
anonymous
  • anonymous
nvm I figured it out :)
anonymous
  • anonymous
ok :)
anonymous
  • anonymous
Can you check one for me though? I'm sorry for the hassle :/
anonymous
  • anonymous
No problem!
anonymous
  • anonymous
x+1/2x^2 - 2x+4/9x + 5x/12 THANK YOU!!!
anonymous
  • anonymous
(15x^3-8x^2+2x+18)/36x^2
anonymous
  • anonymous
awesome!! I got the same \(\cal\Huge\color{lime}{\ddot\smile}\)
anonymous
  • anonymous
Yay!

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