SOLUTION: Would you be able to do me a big favor and see if these problems are correct?
#1:
5/x+3 = 3/x-1
(x+3)(x-1). 5/x+3 = (x+3)(x-1)
5(x-1) = 3(x+3)
5x-5 = 3x+9
2x-
Algebra ->
Rational-functions
-> SOLUTION: Would you be able to do me a big favor and see if these problems are correct?
#1:
5/x+3 = 3/x-1
(x+3)(x-1). 5/x+3 = (x+3)(x-1)
5(x-1) = 3(x+3)
5x-5 = 3x+9
2x-
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Question 159589: Would you be able to do me a big favor and see if these problems are correct?
#1:
5/x+3 = 3/x-1
(x+3)(x-1). 5/x+3 = (x+3)(x-1)
5(x-1) = 3(x+3)
5x-5 = 3x+9
2x-5 = 9
2x/2 = 14/2
x = 7
#2
x/2x^2 - x-1 = 3/x^2 - 1 + 3/2x+1
x/(2x+1)(x-1) = 3/(x+1)(x-1) + 3/2x+1
x/(2x+1)(x-1)(x+1) = 3/(2x+1)(x-1)(x+1) + 3/(2x+1)(x-1)(x+1)
x(x+1) = 3(2x+1) + 3(x+1)(x-1)
x^2 + x = 3x+3 + 3(x^2-x+x-1)
x^2 + x = 3x+3 + 3x^2-3
x^2 + x = 3x^2 + 3x
(x+1)(x-1) = 3x(x+1)
x-1 = 3x
-1 = 2x
x = -1/2
Thanks for you help! Paul
