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Mathematics

The roots of the quadratic equation x2 - 6x - 7 = 0 are :

  1. -1 and 7

  2. 1 and 7

  3. -1 or 7

  4. 1 and -7

Quadratic Equations

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Answer

Given,

⇒ x2 - 6x - 7 = 0

⇒ x2 - 7x + x - 7 = 0

⇒ x(x - 7) + 1(x - 7) = 0

⇒ (x + 1)(x - 7) = 0

⇒ x + 1 = 0 or x - 7 = 0

⇒ x = -1 or x = 7.

Hence, Option 3 is the correct option.

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