Math

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

  1. 👍
  2. 👎
  3. 👁
  4. ℹ️
  5. 🚩
  1. let the two numbers be x and x+1
    x^2 + 4(x+1) = 64

    x^2 + 4x + 4 - 64=0
    x^2 + 4x - 60 = 0
    (x+10)(x-6) = 0
    x = -10 or x = 6
    but you wanted only positive integers, so x = 6

    the two numbers are 6 and 7

    check:
    What is 6^2 + 4(7) ??

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩

Respond to this Question

First Name

Your Response

Similar Questions

  1. 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

  2. Math

    Find two consecutive odd integers such that the square of the larger is one less than twice the square of the smaller.

  3. math

    Find two consecutive even integers such that the square of the smaller is 10 more than the larger.

  4. 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.

  1. Algebra

    The larger of two positive integers is five more than twice the smaller integer. The product of the integers is 52. Find the integers. Must have an algebraic solution.

  2. algebra

    The larger of two consecutive integers is 10 more than 4 times the smaller. Find the integers.

  3. Math

    Find three consecutive odd integers such that the square of the first increased by product of the other two is 224.

  4. quad. eq.

    find 3 consecutive integers such that the product of the second and third integer is 20 Take three integers x, y, and z. The for xyz, we want y*z = 20 The factors of 20 are 20*1 10*2 5*4. 20*1 are not consecutive. 10*2 are not

  1. Math

    Find two consecutive odd integers such that the sum of four times the larger and twice the smaller is 194. Help Thank you!

  2. algebra2

    Two consecutive positive integers have the property that one integer times twice the other equals 612. What is the sum of these two integers?

  3. Integers

    The larger of two positive integers is five more than twice the smaller integer. The product of the integers is 52. Find the integers.

  4. Algebra Homework, HELP!

    1) A rectangle has an area of 297 square inches and a width which is three inches less than four times the length. Find the length and the width of the rectangle. 2) Let x represent the length of the shorter leg in a right

View more similar questions or ask a new question.