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The roots of the equation (1)/(2x-3) - (...

The roots of the equation `(1)/(2x-3) - (1)/(2x+5) = 8` are

A

`2-(1)/(sqrt(2)), 2 - (1)/(sqrt(2))`

B

`(-1+sqrt(17))/(2),(-1-1sqrt(17))/(2)`

C

`2+(1)/(sqrt(2)),2-(1)/(sqrt(2))`

D

`(1+sqrt(17))/(2),(1-sqrt(17))/(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
(i) Simplify the equation.
(ii) Take LCM.
(iii) Convert it into quadratic equation.
(iv) Solve the equation by using formula x `= (-b+-sqrt(b^(2) - 4x))/(2a)`.
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