What is the answer to a-a^{-1}=1 ?

The answer to a-a^{-1}=1 is a=(1+sqrt(5))/2 ,a=(1-sqrt(5))/2

Solve for a: a-a^{-1}=1

The solution is a=(1+sqrt(5))/2 ,a=(1-sqrt(5))/2

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a - a^{- 1} = 1

a = \frac{1 + 5}{2}, a = \frac{1 - 5}{2}

Decimal Notation

a = 1.61803 \dots, a = - 0.61803 \dots

Solution steps

a - a^{- 1} = 1

Refine

a - \frac{1}{a} = 1

Multiply both sides by

a

a^{2} - 1 = a

Solve

a^{2} - 1 = a : a = \frac{1 + 5}{2}, a = \frac{1 - 5}{2}

a = \frac{1 + 5}{2}, a = \frac{1 - 5}{2}

Verify Solutions

Find undefined (singularity) points:

a = 0

Combine undefined points with solutions:

a = \frac{1 + 5}{2}, a = \frac{1 - 5}{2}

\frac{x - 3}{x} = 0

\frac{46}{x} = 2

\frac{600 x}{300 - x} = 150

2 = \frac{x + 12}{x - 10}

\frac{x ^{m}}{x ^{n}} = x^{m - n}

What is the answer to a-a^{-1}=1 ?
The answer to a-a^{-1}=1 is a=(1+sqrt(5))/2 ,a=(1-sqrt(5))/2
Solve for a: a-a^{-1}=1
The solution is a=(1+sqrt(5))/2 ,a=(1-sqrt(5))/2