Solve the following rational equations and inequalities. 1.

Destinee Hensley

Destinee Hensley

Answered question

2022-03-20

Solve the following rational equations and inequalities.
1. 2x5x+13x2+x=0
2. 1y16=23
3. 3x+1=9x23x4

Answer & Explanation

sa3b4or9i9

sa3b4or9i9

Beginner2022-03-21Added 14 answers

1) 2x5x+13x2+x=0
2x5x+13x(x+1)=0
x(2x5)3x(x+1)=0
x(2x5)3=0
2x25x3=0
2x2+x6x3=0
x(2x+1)3(2x+1)=0
(x3)(2x+1)=0
Thus,
x3=0 or 2x+1=0
x=3 or 2x=1
x=3 or x=0.5
2) 1y16=23
1y=16+23=1+46=56
1y=56
y=65
Marquis Ibarra

Marquis Ibarra

Beginner2022-03-22Added 9 answers

I made the third one
3. 3x+1=9x23x4
3x+1=9x24x+x4
1x+1=3x(x4)+1(x4)
1x+1=3(x+1)(x4)
11=3x4
x4=3
x=4+3
x=7

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