the roots of the equation x/x-1 + x-1/× =2 1/2 ​

Question

the roots of the equation x/x-1 + x-1/× =2 1/2 ​

in progress 0
Genesis 1 month 2021-08-18T07:46:59+00:00 1 Answer 0 views 0

Answers ( )

    0
    2021-08-18T07:48:11+00:00

    Answer:

    x = -1, 2

    Step-by-step explanation:

    Let x/x-1 = y

    Then x-1/x = 1/y

    x/x-1 – x-1/x = 2 1/2

    y + 1/y = 5/2

    y^2 + 1 = 5y/2

    2y^2 – 5y + 2 = 0

    2y^2 – 4y – y + 2 = 0

    (2y – 1)(y-2) = 0

    y = 1/2, 2.

    x/x-1 = 1/2        or     x/x-1 = 2

    2x = x – 1                    x = 2x – 2

    x = -1                             x = 2

Leave an answer

Browse
Browse

18:9+8+9*3-7:3-1*13 = ? ( )