Question

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

Answer 1

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Answer 2

Answer:

y=$\frac{-5+\sqrt{65} }{4} , \frac{-5-\sqrt{65} }{4}$

Step-by-step explanation:

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