For exercise, solve the equations and inequalities. Write the solutions sets to

Jaden Easton

Jaden Easton

Answered question

2021-10-18

For exercise, solve the equations and inequalities. Write the solutions sets to the inequalities in interval notation if possible.
5y4=3yy+22y214yy22y8

Answer & Explanation

Alix Ortiz

Alix Ortiz

Skilled2021-10-19Added 109 answers

Step 1 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)
5=3y(y4)(2y214y)(y+2)
5(y+2)=3y(y4)(2y214y)
5(y+2)=3y212y2y2+14y
5y+10=y2+2y
Step 2
y2+2y5y10=0
y23y10=0
y25y+2y10=0
y(y5)+2(y5)=0
(y5)(y+2)=0
Either y=5 or y=2 is not possible
y=5

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