Multiple choice

A quadratic equation whose one root is 3 is

  1. $x^2-6x-5=0$
  2. $x^2+6x-5=0$
  3. $x^2-5x-6=0$
  4. $x^2-5x+6=0$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

If 3 is a root, then substituting x = 3 into the equation must result in 0. For option D, 3^2 - 5(3) + 6 = 9 - 15 + 6 = 0.

AI explanation

To find which quadratic equation has 3 as a root, substitute x = 3 into each equation and check for a result of zero. For the equation x^2 - 5x + 6, substituting 3 gives (3)^2 - 5(3) + 6 = 9 - 15 + 6 = 0.