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anonymous

  • 5 years ago

solve for x: x/(x=3)+ 5/(x-7) =30/x^2-4x-21

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  1. anonymous
    • 5 years ago
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    Alright let's get them all to have the same denominator and you'll get :\[[x(x-7) + 5(x+3) -30]/(x-7)(x+3)\] now let's simplify and do the calculation: \[[x^2-7x +5x + 15 -30]/(x+3)(x-7)\] \[(x^2-2x-15)/(x+3)(x-7)\] \[(x+3)(x-5)/(x-7)(x+3)\] (x-5)/(x-7) hmm, I think you can take over from here :) good luck!

  2. radar
    • 5 years ago
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    I question the x/(x=3) as shown in your original question. I to will assume it was meant to be a +. However the next equal sign I will take at face value and what you have is;\[x/(x+3)+5/(x-7)= 30/(x ^{2}-4x-21)\] Note that the denominators of both fractions are equivalent and the two fractions are equal. It can now be said the x+5 =30 x can be solved: x=25

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