One root of the quadratic equation x2

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One root of the quadratic equation x² - 5x + 6 = 0 is 3. Find the other root.

1. 2
2. −2
3. 1
4. −1

Correct Option: A

The given equation is
x² - 5x + 6 = 0 ⇒ x² - 2x - 3x+ 6 = 0
⇒ x( x - 2 ) - 3( x - 2 ) = 0
⇒ ( x - 2 ) ( x - 3 ) = 0
⇒ x - 2 = 0 or x - 3 = 0
⇒ x = 2 or x = 3
Thus, the other root of the given quadratic equation is 2.