Question

If 7+√5/7−√5 − 7−√5/7+√5 = a + 7√5 b, then find a and b

Answer 1

Answer:

{(7 + _/5)/(7-_/5)} - {(7-_/5)/(7+_/5)}

= {(7+_/5)^2}/24 - {(7-_/5)^2}/24

= (28_/5)/24

= 0 + 7_/5 (1/6)

a = 0 and b = 1/6