HAYDENdfg
asks:
Q:
I need help with the equation: 3/(X+2)+1=4/(X+1)
THOSE ARE FRACTIONS PLEASE HELP
In Topics:
Tests (preparing, taking, anxiety!), Helping my child with math
> 60 days ago
Answers (1)
Let's start by simplifying the left hand side
3/(x+2) + 1 = 3/(x+2) + (x+2)/(x+2) = (x+5)/(x+2).
The equation now simplifies to
(x+5)/(x+2) = 4/(x+1).
Using cross-multiplication (http://en.wikipedia.org/wiki/Cross-multiplication), we get
(x+2)4 = (x+5)(x+1).
Let's distribute the equation.
4x + 8 = x^2 + 6x + 5
Next, rearrange the terms:
x^2 +2x -3 = 0
The final step is to factor it
(x+3)(x-1) = 0
x = -3,1
Cheers :)
3/(x+2) + 1 = 3/(x+2) + (x+2)/(x+2) = (x+5)/(x+2).
The equation now simplifies to
(x+5)/(x+2) = 4/(x+1).
Using cross-multiplication (http://en.wikipedia.org/wiki/Cross-multiplication), we get
(x+2)4 = (x+5)(x+1).
Let's distribute the equation.
4x + 8 = x^2 + 6x + 5
Next, rearrange the terms:
x^2 +2x -3 = 0
The final step is to factor it
(x+3)(x-1) = 0
x = -3,1
Cheers :)
> 60 days ago
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