A quadratic equation whose one root is 3 is

Given: One of the root of the Quadratic Equation that is 3

Required: To find the Quadratic equation, which satisfies the given root.

Now,

We substitute the zero in every equation given in the options

∴ Case (i): x²–6x-5 = 0

⇒ (3)²–6(3)–5 = 0

⇒ 9–18–5 = –14≠0

Case (ii): x² + 6x–5 = 0

⇒ (3)² + 6(3)–5 = 0

⇒ 9 + 18–5 = 22≠0

Case(iii): x²–5x–6 = 0

⇒ (3)²–5(3)–6 = 0

⇒ 9–15–6 = –12≠0

Case(iv): x²–5x + 6 = 0

⇒ (3)²–5(3) + 6 = 0

⇒ 9–15 + 6 = 0

∴ The Quadratic equation with one root as 3 is x²–5x–6 = 0

∴ Correct Option is - Option (D)