Multiple choice

Check whether the following is a quadratic equation. $(x - 3) (2x + 1) = x (x + 5)$

  1. Yes

  2. No

  3. Ambiguous

  4. Data insufficient
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Expand the equation: 2x^2 + x - 6x - 3 = x^2 + 5x. Simplify: 2x^2 - 5x - 3 = x^2 + 5x. x^2 - 10x - 3 = 0. This is a quadratic equation.

AI explanation

To verify, expand both sides to see if the highest degree of x is 2. Expanding the left side gives 2x^2 - 5x - 3, and expanding the right side gives x^2 + 5x. Setting them equal yields 2x^2 - 5x - 3 = x^2 + 5x, which simplifies to x^2 - 10x - 3 = 0. Since the highest power of the variable is 2, it is a quadratic equation. Therefore, the answer is Yes.

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