Question

The equation \(x^2+x-306=0\) represents that the

• A. sum of two consecutive positive integers is 306
• B. product of two consecutive positive integers is 306
• C. sum of squares of two consecutive positive integers is 306
• D. product of squares of two consecutive positive integers is 306

Answer 1

The Correct Option is B

Correct answer: product of two consecutive positive integers is 306 

Explanation:
Let the two consecutive positive integers be \( x \) and \( x + 1 \). 
Their product is: \[ x(x + 1) = x^2 + x \] Given: \[ x^2 + x = 306 \Rightarrow x^2 + x - 306 = 0 \] This matches the given equation: \( x^2 + x - 306 = 0 \)

Hence, the equation represents the product of two consecutive positive integers is 306.