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18 July, 16:42

What is the solution to the rational equation (x/x^2-9) - 1/x+3=1/4x-12

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  1. 18 July, 16:53
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    Simplify both sides of the equation. - 3 (x+3) (x - 3) = 1 4 (x - 3) - ⁢ 3 x+3 ⁢ x - 3 = 1 4⁢ x - 3

    Find the LCD of the terms in the equation. 4 (x+3) (x - 3) 4⁢ x+3 ⁢ x - 3

    Multiply each term by 4 (x+3) (x - 3) 4⁢ x+3 ⁢ x - 3 and simplify.-12=x+3-12=x+3

    Solve the equation. x = - 15
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