teishastarr teishastarr
  • 17-11-2019
  • Mathematics
contestada

(3y+5)/(y^2+5)+(y+4)/(y+4)=(y+1)/y

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asiahsavon asiahsavon
  • 17-11-2019

glib opinions the and me and my doggie

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stephanigbogu stephanigbogu
  • 17-11-2019

Answer:

y=[tex]\frac{-5+\sqrt{65} }{4} , \frac{-5-\sqrt{65} }{4}[/tex]

Step-by-step explanation:

  1. Cancel y+4
  2. Simplify [tex]\frac{y+1}{y}[/tex] to [tex]1+\frac{1}{y}[/tex]
  3. Cancel 1 on both sides
  4. Cross multiply
  5. Regroup terms
  6. Expand
  7. Move all terms to one side
  8. Simplify [tex]3y^2+5y-y^2-5[/tex] to [tex]2y^2+5y-5[/tex]
  9. Use Quadratic Formula, [tex]x=\frac{-b+\sqrt{b^2-4ac} }{2a},x=\frac{-b-\sqrt{b^2-4ac} }{2a}[/tex]
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