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10^log10(x)^2+x^log10(x)=20 equation

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Numerical solution:

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The solution

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  /         2\                
  |/ log(x)\ |     log(x)     
  ||-------| |    -------     
  \\log(10)/ /    log(10)     
10             + x        = 20
$$10^{\left(\frac{\log{\left(x \right)}}{\log{\left(10 \right)}}\right)^{2}} + x^{\frac{\log{\left(x \right)}}{\log{\left(10 \right)}}} = 20$$
Rapid solution [src]
x1 = 1/10
$$x_{1} = \frac{1}{10}$$
x2 = 10
$$x_{2} = 10$$
x2 = 10
Sum and product of roots [src]
sum
10 + 1/10
$$\frac{1}{10} + 10$$
=
101
---
 10
$$\frac{101}{10}$$
product
10
--
10
$$\frac{10}{10}$$
=
1
$$1$$
1
Numerical answer [src]
x1 = 10.0
x2 = -15.6498902723066 - 19.4658762062589*i
x3 = -15.6498902723066 + 19.4658762062589*i
x3 = -15.6498902723066 + 19.4658762062589*i