Frink System Solver

Equations (one per line):
xsq1 = x^2 ex2 = e xsq1 ad = (-tprime - 3) / ex2 ad = -log[e,2]/e digits = tprime / log[10,2]
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Evaluate result numerically

x = \sqrt{xsq1}

x = - \sqrt{xsq1}

x = \sqrt{\frac{ad ex2 \ln [2]}{LambertW [ad \ln [2]]}}

x = - \sqrt{\frac{ad ex2 \ln [2]}{LambertW [ad \ln [2]]}}

x = \sqrt{\frac{- ex2}{e LambertW [\frac{- 1}{e}]}}

x = - \sqrt{\frac{- ex2}{e LambertW [\frac{- 1}{e}]}}

x = \sqrt{- \frac{3 \ln [2]}{LambertW [- \frac{3 \ln [2]}{ex2} - \frac{digits \ln [10]}{ex2}]} - \frac{digits \ln [10]}{LambertW [- \frac{3 \ln [2]}{ex2} - \frac{digits \ln [10]}{ex2}]}}

x = - \sqrt{- \frac{3 \ln [2]}{LambertW [- \frac{3 \ln [2]}{ex2} - \frac{digits \ln [10]}{ex2}]} - \frac{digits \ln [10]}{LambertW [- \frac{3 \ln [2]}{ex2} - \frac{digits \ln [10]}{ex2}]}}

x = \sqrt{- \frac{3 \ln [2]}{LambertW [- \frac{3 \ln [2]}{ex2} - \frac{tprime \ln [2]}{ex2}]} - \frac{tprime \ln [2]}{LambertW [- \frac{3 \ln [2]}{ex2} - \frac{tprime \ln [2]}{ex2}]}}

x = - \sqrt{- \frac{3 \ln [2]}{LambertW [- \frac{3 \ln [2]}{ex2} - \frac{tprime \ln [2]}{ex2}]} - \frac{tprime \ln [2]}{LambertW [- \frac{3 \ln [2]}{ex2} - \frac{tprime \ln [2]}{ex2}]}}

x = \sqrt{- \frac{3 \ln [2]}{LambertW [ad \ln [2]]} - \frac{digits \ln [10]}{LambertW [ad \ln [2]]}}

x = - \sqrt{- \frac{3 \ln [2]}{LambertW [ad \ln [2]]} - \frac{digits \ln [10]}{LambertW [ad \ln [2]]}}

x = \sqrt{\frac{3 ad e {\ln [2]}^{2}}{LambertW [ad \ln [2]]} + \frac{ad digits e \ln [2] \ln [10]}{LambertW [ad \ln [2]]}}

x = - \sqrt{\frac{3 ad e {\ln [2]}^{2}}{LambertW [ad \ln [2]]} + \frac{ad digits e \ln [2] \ln [10]}{LambertW [ad \ln [2]]}}

x = \sqrt{- \frac{3 \ln [2]}{LambertW [ad \ln [2]]} - \frac{tprime \ln [2]}{LambertW [ad \ln [2]]}}

x = - \sqrt{- \frac{3 \ln [2]}{LambertW [ad \ln [2]]} - \frac{tprime \ln [2]}{LambertW [ad \ln [2]]}}

tprime = \frac{digits \ln [10]}{\ln [2]}

tprime = - 3 - ad ex2

tprime = - 3 + \frac{ex2}{e \ln [2]}

tprime = - 3 - \frac{x^{2} LambertW [ad \ln [2]]}{\ln [2]}

tprime = - 3 - \frac{xsq1 LambertW [ad \ln [2]]}{\ln [2]}

ex2 = \frac{x^{2} LambertW [ad \ln [2]]}{ad \ln [2]}

ex2 = - \frac{3}{ad} - \frac{digits \ln [10]}{ad \ln [2]}

ex2 = - e x^{2} LambertW [\frac{- 1}{e}]

ex2 = \frac{xsq1 LambertW [ad \ln [2]]}{ad \ln [2]}

ex2 = 3 e \ln [2] + digits e \ln [10]

ex2 = - \frac{3}{ad} - \frac{tprime}{ad}

xsq1 = x^{2}

xsq1 = \frac{ad ex2 \ln [2]}{LambertW [ad \ln [2]]}

xsq1 = \frac{- ex2}{e LambertW [\frac{- 1}{e}]}

xsq1 = - \frac{3 \ln [2]}{LambertW [- \frac{3 \ln [2]}{ex2} - \frac{digits \ln [10]}{ex2}]} - \frac{digits \ln [10]}{LambertW [- \frac{3 \ln [2]}{ex2} - \frac{digits \ln [10]}{ex2}]}

xsq1 = - \frac{3 \ln [2]}{LambertW [- \frac{3 \ln [2]}{ex2} - \frac{tprime \ln [2]}{ex2}]} - \frac{tprime \ln [2]}{LambertW [- \frac{3 \ln [2]}{ex2} - \frac{tprime \ln [2]}{ex2}]}

xsq1 = - \frac{3 \ln [2]}{LambertW [ad \ln [2]]} - \frac{digits \ln [10]}{LambertW [ad \ln [2]]}

xsq1 = - \frac{3 \ln [2]}{LambertW [ad \ln [2]]} - \frac{tprime \ln [2]}{LambertW [ad \ln [2]]}

ad = \frac{- 1}{e \ln [2]}

solve [\frac{LambertW [ad \ln [2]]}{ad} === \frac{ex2 \ln [2]}{x^{2}}, ad]

ad = - \frac{3}{ex2} - \frac{digits \ln [10]}{ex2 \ln [2]}

solve [\frac{LambertW [ad \ln [2]]}{ad} === \frac{ex2 \ln [2]}{xsq1}, ad]

ad = - \frac{3}{ex2} - \frac{tprime}{ex2}

digits = \frac{tprime \ln [2]}{\ln [10]}

digits = - \frac{3 \ln [2]}{\ln [10]} - \frac{ad ex2 \ln [2]}{\ln [10]}

digits = \frac{ex2}{e \ln [10]} - \frac{3 \ln [2]}{\ln [10]}

digits = - \frac{x^{2} LambertW [ad \ln [2]]}{\ln [10]} - \frac{3 \ln [2]}{\ln [10]}

digits = - \frac{xsq1 LambertW [ad \ln [2]]}{\ln [10]} - \frac{3 \ln [2]}{\ln [10]}

e = \frac{LambertW [ad \ln [2]]}{ad \ln [2]}

e = \frac{LambertW1 [ad \ln [2]]}{ad \ln [2]}

e = \frac{LambertW [- \frac{3 \ln [2]}{ex2} - \frac{digits \ln [10]}{ex2}]}{\ln [2] (- \frac{3}{ex2} - \frac{digits \ln [10]}{ex2 \ln [2]})}

e = \frac{LambertW1 [- \frac{3 \ln [2]}{ex2} - \frac{digits \ln [10]}{ex2}]}{\ln [2] (- \frac{3}{ex2} - \frac{digits \ln [10]}{ex2 \ln [2]})}

e = \frac{LambertW [- \frac{3 \ln [2]}{ex2} - \frac{tprime \ln [2]}{ex2}]}{(- \frac{3}{ex2} - \frac{tprime}{ex2}) \ln [2]}

e = \frac{LambertW1 [- \frac{3 \ln [2]}{ex2} - \frac{tprime \ln [2]}{ex2}]}{(- \frac{3}{ex2} - \frac{tprime}{ex2}) \ln [2]}

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xsq1 =

x^{2}

=

26.01

ad =

\frac{- 1}{e \ln [2]}

=

\frac{- 0.36787944117144232159}{\ln [2]}

=

- 0.53073784542304299574