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Mathematics

If one root of equation (p - 3)x2 + x + p = 0 is 2, the value of p is :

  1. -2

  2. 2

  3. ±2

  4. 1 and 2

Quadratic Equations

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Answer

Given,

One root of equation (p - 3)x2 + x + p = 0 is 2.

∴ x = 2 satisfies the equation.

∴ (p - 3)(2)2 + 2 + p = 0

⇒ 4(p - 3) + 2 + p = 0

⇒ 4p - 12 + 2 + p = 0

⇒ 5p - 10 = 0

⇒ 5p = 10

⇒ p = 105\dfrac{10}{5} = 2.

Hence, Option 2 is the correct option.

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