Asked by matt
Can someone explain, showing steps, why this wouldn't have a solution?
12/(x^2+9) + 3/(x+3) = 2/(x-3)
Thanks. :)
12/(x^2+9) + 3/(x+3) = 2/(x-3)
Thanks. :)
Answers
Answered by
Steve
place all over the common denominator: (x-3)(x+3) and you have
12 + 3(x-3) = 2(x+3)
12 + 3x-9 = 2x+6
x = 3
But, 2/(x-3) is undefined in the original equation. The domain of f(x) excludes 3 and -3.
12 + 3(x-3) = 2(x+3)
12 + 3x-9 = 2x+6
x = 3
But, 2/(x-3) is undefined in the original equation. The domain of f(x) excludes 3 and -3.
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