math

The positive difference of the cubes of two consecutive positive integers is 111 less than five
times the product of the two consecutive integers. What is the sum of the two consecutive
integers?

  1. 👍
  2. 👎
  3. 👁
  1. (x+1)^3 - x^3 = 5x(x+1) - 111
    solve for x and x+1

    1. 👍
    2. 👎
    👤
    oobleck

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math

    The sum of 11 consecutive positive integers is 2002. What is the greatest of these 11 integers? *************************************** I truly appreciate the time and effort that you all give answering our questions and taking

  2. Math

    2. The sum of the reciprocals of two consecutive positive integers is 17/72. Write an equation that can be used to find the two integers. What are the integers? Steve helped me yesterday and gave me the hint 8+9=17. Then I thought

  3. Maths help asap please.

    The product of two consecutive positive integers is added to the larger of the two integers. Prove that the result is always a square number. Thank you for your help.

  4. math

    What two positive consecutive integers have a product of 72?

  1. Discrete Math

    Theorem: For every integer n, if x and y are positive integers with max(x, y) = n, then x = y. Basic Step: Suppose that n = 1. If max(x, y) = 1 and x and y are positive integers, we have x = 1 and y = 1. Inductive Step: Let k be a

  2. Math

    Tell whether the difference between the two integers is always, sometimes, or never positive. 1)Two positive integers. Never 2)Two negative integers. Sometimes. 3)A positive integer and a negative integer. Sometimes. 4)A negative

  3. Math

    Find two consecutive positive integers such that the square of the smaller increased by 4 times the larger is 64.

  4. smallest of 3 integers

    The sum of the reciprocals of three consecutive positive integers is equal to 47 divided by the product of the integers. What is the smallest of the three integers?

  1. math

    Find three consecutive positive even integers such that four times the first decreased by the second is 12 more than twice the third.

  2. math

    The product of two consecutive positive integers is 11 more than their sum. What the integers? Please help.

  3. math

    Find two consecutive positive integers whose product is 132.

  4. Alg 1

    The product of two consecutive integers, n and n+1, is 42. What is the positive integer that satisfies the situation? Is it 6 x 7?

You can view more similar questions or ask a new question.