Solve, please \(\displaystyle{\frac{{{5}}}{{{y}-{4}}}}={\frac{{{3}{y}}}{{{y}+{2}}}}-{\frac{{{2}{y}^{{2}}-{14}{y}}}{{{y}^{{2}}-{2}{y}-{8}}}}\)

Zack Mora

Zack Mora

Answered question

2022-03-21

Solve, please
5y4=3yy+22y214yy22y8

Answer & Explanation

Nyla Trujillo

Nyla Trujillo

Beginner2022-03-22Added 9 answers

Given:
5y4=3yy+22y214yy22y8
5y4=3yy+22y214yy24y+2y8
5y4=3yy+22y214yy(y4)2(y4)
5y4=3yy+22y214y(y4)(y+2)
5y4=3y(y4)(2y214y)(y4)(y+2)
5y4=3y(y4)(2y214y)y+2
5(y+2)=3y(y4)(2y214y)
5(y+2)=3y212y2y2+14y
5y+10=y2+2y
y2+2y5y10=0
y23y10=0
y25y+2y10=0
y(y5)+2(y5)=0
(y5)(y+2)=0
y=5 or y=2 isn't possible, thus, y=5 is the answer.

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?