Multiple choice

What are the roots of the quadratic equation x² - 5x + 6 = 0? (a) 1, 6(b) -2, -3(c) 2, 3(d) -1, -6(e) 2, -3

  1. B

  2. C

  3. A

  4. E

  5. D
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The roots of x^2 - 5x + 6 = 0 are found by factoring (x-2)(x-3) = 0, which gives x = 2 and x = 3. This corresponds to option (c).

AI explanation

Using the factoring method for the quadratic equation x^2 - 5x + 6 = 0, we look for two numbers that multiply to 6 and add to -5. These numbers are -2 and -3, which gives the factored form (x - 2)(x - 3) = 0. Solving x - 2 = 0 and x - 3 = 0 yields the roots 2 and 3, which corresponds to option C.

Keep practicing — related questions