Question

1/x-3-1/x-5= 6(xnot equal to 3,-5​

Answer 1

Answer:

(12+√7)/3 , (12-√7)/3

Step-by-step explanation:

( 1/x-3) - (1/x-5) = 6

After cross multiplication and solving we get,

3x^2 -24x + 45= -1

=> 3x^2 - 24x +46= 0

solving for x

x ={ 24 + √(24^2 - 4×3×46) }/ 2×3

x = (24 + √24)/6

x = (12 + √7)/3