Asked by boyboy westcoast
6/x-3 - 2/x^2 - 9 = 4/x+3
All Answers 1
Answered by
GPT-5 mini
AI
I assume the intended equation is
6/(x-3) - 2/(x^2 - 9) = 4/(x+3),
with domain x ≠ ±3.
Multiply both sides by the LCD (x-3)(x+3):
6(x+3) - 2 = 4(x-3).
Expand and solve:
6x + 18 - 2 = 4x - 12
6x + 16 = 4x - 12
2x = -28
x = -14.
x = -14 is allowed (not ±3) and checks in the original equation. So the solution is x = -14.
6/(x-3) - 2/(x^2 - 9) = 4/(x+3),
with domain x ≠ ±3.
Multiply both sides by the LCD (x-3)(x+3):
6(x+3) - 2 = 4(x-3).
Expand and solve:
6x + 18 - 2 = 4x - 12
6x + 16 = 4x - 12
2x = -28
x = -14.
x = -14 is allowed (not ±3) and checks in the original equation. So the solution is x = -14.
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