SOLUTION: {{{1/b + 1/b - 4 = b - 3/b - 4}}}

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: {{{1/b + 1/b - 4 = b - 3/b - 4}}}      Log On


   

Question 864856: 1%2Fb+%2B+1%2Fb+-+4+=+b+-+3%2Fb+-+4
Answer by ben720(159) About Me  (Show Source):
You can put this solution on YOUR website!
1%2Fb+%2B+1%2Fb+-+4+=+b+-+3%2Fb+-+4
Multiply both sides by b
2-4b=b%5E2-3-4b
Add 4b-2 to both sides
b%5E2-5=0
Plug the values into the quadratic formula
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
x+=+%28%2B-sqrt%28-4%2A1%2A-5+%29%29%2F%282%2A1%29+
x+=%28%2B-sqrt%2820%29%29%2F2
x+=%28sqrt%2820%29%29%2F2 OR x+=%28-sqrt%2820%29%29%2F2
x+=%282sqrt%285%29%29%2F2 OR x+=%28-2sqrt%285%29%29%2F2
x=sqrt%285%29 OR x=-sqrt%285%29