Question

Which of the following quadratic equations has 2 and 3 as its roots?

Options

• x² – 5x + 6 = 0

• x² + 5x + 6 = 0

• x² – 5x – 6 = 0

• x² + 5x – 6 = 0

Answer 1

x² – 5x + 6 = 0

Explanation:

Since, {2, 3} is solution set.

It means 2 and 3 are roots of the equation,

∴ x = 2 or x = 3

⇒ x – 2 = 0 or x – 3 = 0

⇒ (x – 2)(x – 3) = 0

⇒ (x² – 3x – 2x + 6) = 0

⇒ x² – 5x + 6 = 0