Multiple choice

Find the quadratic equation in $x$ , whose solutions are $3$ and $2$.

  1. $x^{3}-5x + 6 = 0$
  2. $x^{2}-5x + 6 = 0$
  3. $x^{2}-3x + 6 = 0$
  4. $x^{2}-5x + 7 = 0$
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B Correct answer
Explanation

If roots are 3 and 2, the equation is (x-3)(x-2) = 0, which expands to x^2 - 5x + 6 = 0.

AI explanation

Using the formula for forming a quadratic equation from its roots, we set the equation as (x minus 3)(x minus 2) equals zero. Expanding this expression gives x squared minus 2x minus 3x plus 6, which simplifies to x squared minus 5x plus 6 equals zero.

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