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ctg(3x/2)=5 equation

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Numerical solution:

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The solution

You have entered [src]
   /3*x\    
cot|---| = 5
   \ 2 /    
$$\cot{\left(\frac{3 x}{2} \right)} = 5$$
The graph
Rapid solution [src]
     2*acot(5)
x1 = ---------
         3    
$$x_{1} = \frac{2 \operatorname{acot}{\left(5 \right)}}{3}$$
x1 = 2*acot(5)/3
Sum and product of roots [src]
sum
2*acot(5)
---------
    3    
$$\frac{2 \operatorname{acot}{\left(5 \right)}}{3}$$
=
2*acot(5)
---------
    3    
$$\frac{2 \operatorname{acot}{\left(5 \right)}}{3}$$
product
2*acot(5)
---------
    3    
$$\frac{2 \operatorname{acot}{\left(5 \right)}}{3}$$
=
2*acot(5)
---------
    3    
$$\frac{2 \operatorname{acot}{\left(5 \right)}}{3}$$
2*acot(5)/3
Numerical answer [src]
x1 = 86.0017962380209
x2 = 10.6035725518659
x3 = -22.9067490864252
x4 = 42.0194990877638
x5 = 4.32038724468631
x6 = -41.756305007964
x7 = -45.9450952127504
x8 = -1.96279806249328
x9 = 81.8130060332345
x10 = -92.0217874654007
x11 = -48.0394903151436
x12 = 88.0961913404141
x13 = -43.8507001103572
x14 = 2.22599214229312
x15 = 48.3026843949434
x16 = 44.113894190157
x17 = 90.1905864428073
x18 = -89.9273923630075
x19 = -71.0778364414687
x20 = 92.2849815452005
x21 = -85.7386021582211
x22 = -87.8329972606143
x23 = 46.2082892925502
x23 = 46.2082892925502