Algebra: Consecutive Integers Problem
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Questions and Answers

What is the equation used to find two consecutive positive integers whose product is 306?

  • $2x^2 + 2x = 306$
  • $x(x + 2) = 306$
  • $x^2 + 1 = 306$
  • $x(x + 1) = 306$ (correct)
  • What form does the quadratic equation take after simplifying $x(x + 1) = 306$?

  • $x^2 - 306 = 0$
  • $x^2 + 306 = 0$
  • $x^2 + 2x - 306 = 0$
  • $x^2 + x - 306 = 0$ (correct)
  • What is the significance of the number 26 mentioned in the problem?

  • It is the age of the mother. (correct)
  • It represents the sum of the integers.
  • It is the age of the child.
  • It is the product of two integers.
  • What do the equations in the problem primarily involve?

    <p>Solving for unknown values using multiplication.</p> Signup and view all the answers

    Which of the following concepts is likely addressed by the problem involving consecutive integers?

    <p>Quadratic equations</p> Signup and view all the answers

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