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Mathematics

If 3 is a root of the quadratic equation x2 - px + 3 = 0, then p is equal to:

  1. 4

  2. 3

  3. 5

  4. 2

Quadratic Equations

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Answer

Given,

3 is a root of the quadratic equation x2 - px + 3 = 0.

Substituting value of x = 3 in equation, we get :

⇒ (3)2 - p(3) + 3 = 0

⇒ 9 - 3p + 3 = 0

⇒ 12 - 3p = 0

⇒ 12 = 3p

⇒ p = 123\dfrac{12}{3}

⇒ p = 4.

Hence, option 1 is the correct option.

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