Question

How would I Solve for b if `b/(4+isqrt3) - b/(4-isqrt3) =1` ?

Answer 1

`b=19/(2sqrt3)i`

Explanation:

`b/(4+isqrt3)-b/(4-isqrt3)=1`

means `(b(4-isqrt3)-b(4+isqrt3))/((4-isqrt3)(4+isqrt3))=1`

or `(-2sqrt3bi)/(4^2+(sqrt3)^2)=1`

or `(-2sqrt3bi)/19=1`

or `b=-19/(2sqrt3i)=-19/(2sqrt3)xx(-i)=19/(2sqrt3)i`