Multiple choice

Say true or false. $x^2 + x - 306 = 0$ represents a quadratic equation when product of two consecutive positive integers is $306$.

  1. True

  2. False
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let the consecutive integers be n and n+1. n(n+1) = 306 => n^2 + n - 306 = 0. This is indeed a quadratic equation.

AI explanation

Let the two consecutive positive integers be x and x + 1. Their product is given as x(x + 1) = 306, which expands to x^2 + x - 306 = 0. This matches the provided equation exactly, representing the required condition. Therefore, the statement is true.

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