Solve the rational equation. \frac{5}{y+4}-\frac{9}{y-4}=\frac{12}{y^{2}

postillan4

postillan4

Answered question

2021-10-02

Solve the rational equation.
5y+49y4=12y216

Answer & Explanation

Jayden-James Duffy

Jayden-James Duffy

Skilled2021-10-03Added 91 answers

Step 1
Given equation
5y+49y4=12y216
Step 2
On solving:
5y+49y4=12y216
5(y4)9(y+4)(y+4)(y4)=12y216
5y209y36(y216)=12y216   [a2b2=(ab)(a+b)]
5y209y36=12
4y=12+36+20
4y=68
y=17
Step 3
Hence,
The required value of y is
y=-17

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