The roots of the quadratic equation x2 – 5x + 6 = 0 are …………

1.	The roots of the quadratic equation x2 – 5x + 6 = 0 are ……………A) -2, 3 B) -2, -3 C) 2, -3 D) 2, 3
Answer» Correct option is (D) 2, 3 \(x^2-5x+6=0\) \(\Rightarrow\) \(x^2-2x-3x+6=0\) \(\Rightarrow\) x (x - 2) - 3 (x - 2) = 0 \(\Rightarrow\) (x - 2) (x - 3) = 0 \(\Rightarrow\) x - 2 = 0 or x - 3 = 0 \(\Rightarrow\) x = 2 or x = 3 Hence, roots of the quadratic given equation are 2 and 3. Correct option is D) 2, 3

The roots of the quadratic equation x2 – 5x + 6 = 0 are ……………A) -2, 3 B) -2, -3 C) 2, -3 D) 2, 3

Answer»

Correct option is (D) 2, 3

\(x^2-5x+6=0\)

\(\Rightarrow\) \(x^2-2x-3x+6=0\)

\(\Rightarrow\) x (x - 2) - 3 (x - 2) = 0

\(\Rightarrow\) (x - 2) (x - 3) = 0

\(\Rightarrow\) x - 2 = 0 or x - 3 = 0

\(\Rightarrow\) x = 2 or x = 3

Hence, roots of the quadratic given equation are 2 and 3.

Correct option is D) 2, 3