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Math Help - Solve for x(problem includes fractions and imaginary)

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    Solve for x(problem includes fractions and imaginary)



    That's the problem. I got an answer of -2 which I am not sure of. Help me please.
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  2. #2
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    Quote Originally Posted by Thanasi View Post


    That's the problem. I got an answer of -2 which I am not sure of. Help me please.
    -2 does not lie in the domain of this function as it causes division by 0 on the RHS

    <br />
\frac{1}{x-2} = \frac{3}{x+2} - \frac{6x}{(x-2)(x+2)}

    <br />
\frac{x+2}{(x+2)(x-2)} = \frac{3(x-2)}{(x-2)(x+2)} - \frac{6x}{(x-2)(x+2)}

    The denominator cancels

    x+2 = 3x-6-6x

    x = -2

    That's unusual...
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  3. #3
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    Quote Originally Posted by Thanasi View Post


    That's the problem. I got an answer of -2 which I am not sure of. Help me please.
    1. Determine the domain of this equation: D = \mathbb{R} \setminus \{-2, 2\}

    2. Then solve the equation. You'll get x = -2 BUT this value isn't in the domain. Therefore this equation has no solution.
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