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Question:

pavelpimen
pavelpimen
Student
High School - 10th Grade

Calculate the value of the ratio below:

(1234567890)/[(1234567891)^2-(1234567890*1234567892)]

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Posted by pavelpimen on Monday September 28, 2009 at 3:00 AM and tagged with factors, ratio, science.

Answers:

  1. neela
    neela Teacher
    Graduate School

    eNotes Editor

    Let 1234567891=x. So,

    124567890=x-1 and

    1234567892=x+1 .

    Therefore, the given expression is (x-1)/{(x)]^2-(x-1)*(x+1)}

    =(x-1)/{x^2 -(x-1)(x+1)}

    =(x-1)/(x^2 - (x^2-1)

    =(x-1)(x^2-x^2+1}

    =(x-1)/( 1}

    =x-1

    =1234567890, as x=1234567891 we assumed.

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    Posted by neela on Monday September 28, 2009 at 4:30 AM

  2. krishna-agrawala
    krishna-agrawala Teacher
    Graduate School

    eNotes Editor

    Let 1234567891 = x

    Then: 1234567890 = x-1 and 1234567892 = x+1

    Substituting these values in the given expression the expression becomes:

    (x-1)/[x^2 - (x-1)*(x+1)] = (x-1)/[x^2 - (x^2-1)] = (x-1)/(x^2 - x^2 + 1)

    = (x-1)/1 = x-1 = 1234567890

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    Posted by krishna-agrawala on Monday September 28, 2009 at 8:56 AM