Multiple choice

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

  1. Yes

  2. No

  3. Ambiguous

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

Expand both sides: (x-2)(x+1) = x^2 - x - 2 and (x-1)(x+3) = x^2 + 2x - 3. Setting them equal: x^2 - x - 2 = x^2 + 2x - 3. The x^2 terms cancel out, leaving -x - 2 = 2x - 3, which is a linear equation, not a quadratic one.

AI explanation

Expanding both sides of the equation gives x squared minus x minus 2 equals x squared plus 2x minus 3. Subtracting x squared from both sides leaves minus x minus 2 equals 2x minus 3. This simplifies to the linear equation 3x equals 1, so it is not a quadratic equation. The result is no.

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