Question
6. Solve the equation. Check for extraneous solutions.
2/x^2-1=4/x+1
2/x^2-1=4/x+1
Answers
Answered by
oobleck
2/(x^2 - 1) = 4/(x + 1)
Rewrite as:
2/(x^2 - 1) = 4/(x + 1)*(x - 1)/(x - 1)
this step makes no sense
It should be
2/((x + 1)*(x - 1)) = 4/(x+1)
1/(x-1) = 2 (for x≠1)
x-1 = 1/2
x = 3/2
Rewrite as:
2/(x^2 - 1) = 4/(x + 1)*(x - 1)/(x - 1)
this step makes no sense
It should be
2/((x + 1)*(x - 1)) = 4/(x+1)
1/(x-1) = 2 (for x≠1)
x-1 = 1/2
x = 3/2
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