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Mathematics

Which of the following quadratic equations has -1 as a root ?

  1. x2 + 5x + 6 = 0

  2. 2x2 - 3x + 1 = 0

  3. 2x2 + x - 3 = 0

  4. 2x2 - x - 3 = 0

Quadratic Equations

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Answer

Substituting -1 in 4th equation,

⇒ 2(-1)2 - (-1) - 3

⇒ 2(1) + 1 - 3

⇒ 2 + 1 - 3

⇒ 3 - 3

⇒ 0.

Since, (-1) satisfies the equation 2x2 - x - 3 = 0.

Hence, Option 4 is the correct option.

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