Solve for A
A=B-\frac{1}{B}
B\neq 0
Solve for B
B=\frac{-\sqrt{A^{2}+4}+A}{2}
B=\frac{\sqrt{A^{2}+4}+A}{2}
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BA+1=BB
Multiply both sides of the equation by B.
BA+1=B^{2}
Multiply B and B to get B^{2}.
BA=B^{2}-1
Subtract 1 from both sides.
\frac{BA}{B}=\frac{B^{2}-1}{B}
Divide both sides by B.
A=\frac{B^{2}-1}{B}
Dividing by B undoes the multiplication by B.
A=B-\frac{1}{B}
Divide B^{2}-1 by B.
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