What is the answer to 2= 1/(1+c*e^{-1)} ?

The answer to 2= 1/(1+c*e^{-1)} is c= e/2-e

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2= 1/(1+c*e^{-1)}

2 = \frac{1}{1 + c \cdot e ^{- 1}}

c = \frac{e}{2} - e

Decimal Notation

c = - 1.35914 \dots

Solution steps

2 = \frac{1}{1 + c e ^{- 1}}

Refine

2 = \frac{e}{e + c}

Multiply both sides by

e + c

2 (e + c) = e

Divide both sides by

2

e + c = \frac{e}{2}

Move

e

to the right side

c = \frac{e}{2} - e

Verify Solutions

Find undefined (singularity) points:

c = - e

Combine undefined points with solutions:

c = \frac{e}{2} - e

\frac{x}{( 17.7 - x )} = 9.4

\frac{1}{x} = - \frac{1}{3}

\frac{( 2 x + 200 )}{x} = 0

\frac{2}{x - 8} = \frac{1}{x - 5}

y, x = \frac{y - 2}{y - 3}

What is the answer to 2= 1/(1+c*e^{-1)} ?
The answer to 2= 1/(1+c*e^{-1)} is c= e/2-e