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laplace(x)=(39/40)

laplace(x)=(39/40) equation

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Numerical solution:

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The solution

You have entered [src]
       /  x  \     
1 + erf|-----|     
       |  ___|     
       \\/ 2 /   39
-------------- = --
      2          40
$$\frac{\operatorname{erf}{\left(\frac{x}{\sqrt{2}} \right)} + 1}{2} = \frac{39}{40}$$
The graph
Rapid solution [src]
       ___       /19\
x1 = \/ 2 *erfinv|--|
                 \20/
$$x_{1} = \sqrt{2} \operatorname{erfinv}{\left(\frac{19}{20} \right)}$$
x1 = sqrt(2)*erfinv(19/20)
Sum and product of roots [src]
sum
  ___       /19\
\/ 2 *erfinv|--|
            \20/
$$\sqrt{2} \operatorname{erfinv}{\left(\frac{19}{20} \right)}$$
=
  ___       /19\
\/ 2 *erfinv|--|
            \20/
$$\sqrt{2} \operatorname{erfinv}{\left(\frac{19}{20} \right)}$$
product
  ___       /19\
\/ 2 *erfinv|--|
            \20/
$$\sqrt{2} \operatorname{erfinv}{\left(\frac{19}{20} \right)}$$
=
  ___       /19\
\/ 2 *erfinv|--|
            \20/
$$\sqrt{2} \operatorname{erfinv}{\left(\frac{19}{20} \right)}$$
sqrt(2)*erfinv(19/20)
Numerical answer [src]
x1 = 1.95996398454005
x1 = 1.95996398454005
The graph
laplace(x)=(39/40) equation