What is the answer to φ/1 = 1/((φ-1)) ?

The answer to φ/1 = 1/((φ-1)) is φ=(1+sqrt(5))/2 ,φ=(1-sqrt(5))/2

Solve for φ: φ/1 = 1/((φ-1))

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

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\frac{φ}{1} = \frac{1}{( φ - 1 )}

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

Decimal Notation

φ = 1.61803 \dots, φ = - 0.61803 \dots

Solution steps

\frac{φ}{1} = \frac{1}{( φ - 1 )}

Simplify

φ = \frac{1}{φ - 1}

Multiply both sides by

φ - 1

φ (φ - 1) = 1

Solve

φ (φ - 1) = 1 : φ = \frac{1 + 5}{2}, φ = \frac{1 - 5}{2}

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

Verify Solutions

Find undefined (singularity) points:

φ = 1

Combine undefined points with solutions:

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

\frac{4}{x} = \frac{x}{3}

\frac{k + 8}{k} - \frac{k - 4}{k} = 3

\frac{x - 5}{x - 8} = \frac{1}{x}

\frac{0.3}{0.9} = \frac{0.2}{x}

a = \frac{1}{2 h ( b + b )}

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