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  1. The roots of the equation7x2 - 6x - 13√7 = 0 are
    1. - √7,
      - 13 √7
      7
    2. 7,
      - 13 √7
      7
    3. - √7,
      13 √7
      7
    4. None of these
Correct Option: C

Given that :- √7x2 - 6x - 13√7 = 0
⇒ √7x2 - 13x + 7x - 13√7 = 0
⇒ x( √7x - 13 ) + √7( √7x - 13 ) = 0
⇒ ( x + √7 ) ( √7x - 13 )
⇒ x + √7 = 0 or √7x - 13 = 0

x = - √7or x =
13
=
13 √7
7
7

Thus, the two roots of given quadratic equation are

- √7and
13 √7
.
7



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