Solve for *b* if 1-b/(4+isqrt3)+b/(4-isqrt3)=0?

1 Answer
Dec 16, 2017

b=(19isqrt3)/6

Explanation:

1-b/(4+isqrt3)+b/(4-isqrt3)=0

1-[b*(4-isqrt3)-b*(4+isqrt3)]/(16-(-3))=0

1-(-2bisqrt3)/19=0

(2bisqrt3)/19=-1

b=-19/(2isqrt3)

b=(-19isqrt3)/(-6)

b=(19isqrt3)/6