solve the following quadratic equation by factorization x-4/x-5+x-6/x-7=10/3;x¥5;7 ​

Question

solve the following quadratic equation by factorization x-4/x-5+x-6/x-7=10/3;x¥5;7

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Ella 3 weeks 2021-09-07T02:57:44+00:00 2 Answers 0 views 0

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    0
    2021-09-07T02:58:44+00:00

    Hope it will help you !!!!

    0
    2021-09-07T02:59:19+00:00

    Answer:

    x  - 5 +  \frac{x - 6}{x - 7}  =  \frac{10}{3}

     \frac{ {x}^{2}  - 5x - 7x + 35 + x - 6}{x - 7}  =  \frac{10}{3}

     {x}^{2}  - 11x + 29 =  \frac{10x - 70}{3}

    3 {x}^{2}  - 33x + 87 = 10x - 70

    3 {x}^{2}  - 43x + 157 = 0

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