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The roots of the equation √7x2 - 6x - 13√7 = 0 are
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- √7, - 13 √7 7 -
√7, - 13 √7 7 -
- √7, 13 √7 7 - None of these
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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 = - √7 | or x = | = | ||
√7 |
Thus, the two roots of given quadratic equation are |
- √7 | and | . | |