Multiple choice

Sohan and Vivek are friends. Sohan's age is 2 years more than Vivek's age. The product of their ages is 150. Which of the following quadratic equations represents the given situation?

  1. x2 + 2x + 150 = 0

  2. x2 + 2x – 150 = 0

  3. 2x2 + 11x – 150 = 0

  4. x2 – 150 = 0
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let Vivek's age be x. Sohan's age is x + 2. Product is x(x + 2) = 150, so x^2 + 2x = 150, or x^2 + 2x - 150 = 0.

AI explanation

Let Vivek's age be x, making Sohan's age x + 2. The product of their ages gives the equation x(x + 2) = 150. Expanding this yields x2 + 2x = 150. Rearranging all terms to one side gives the quadratic equation x2 + 2x - 150 = 0.

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