Multiple choice

Find the incomplete quadratic equation in $x$, whose solutions are $2$ and $-2$.

  1. $x^{2} + 4x = 0$
  2. $x^{2} + 4 = 0$
  3. $x^{2} - 4 = 0$
  4. $x^{3} + 4 = 0$
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C Correct answer
Explanation

If the roots are 2 and -2, the quadratic equation is (x - 2)(x + 2) = 0, which expands to x^2 - 4 = 0.

AI explanation

If the solutions are 2 and -2, the quadratic equation can be written as (x - 2)(x + 2) = 0. Using the difference of squares identity, this expands to x^2 - 4 = 0. Since there is no linear x term, it is an incomplete quadratic equation.

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