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x^4-(50/(z))=14 equation

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Numerical solution:

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The solution

You have entered [src]
 4   50     
x  - -- = 14
     z      
x450z=14x^{4} - \frac{50}{z} = 14
The graph
Rapid solution [src]
             _________
            /      50 
x_1 = -I*4 /  14 + -- 
         \/        z  
x1=i14+50z4x_{1} = - i \sqrt[4]{14 + \frac{50}{z}}
            _________
           /      50 
x_2 = I*4 /  14 + -- 
        \/        z  
x2=i14+50z4x_{2} = i \sqrt[4]{14 + \frac{50}{z}}
           _________
          /      50 
x_3 = -4 /  14 + -- 
       \/        z  
x3=14+50z4x_{3} = - \sqrt[4]{14 + \frac{50}{z}}
          _________
         /      50 
x_4 = 4 /  14 + -- 
      \/        z  
x4=14+50z4x_{4} = \sqrt[4]{14 + \frac{50}{z}}
Sum and product of roots [src]
sum
       _________         _________        _________       _________
      /      50         /      50        /      50       /      50 
-I*4 /  14 + --  + I*4 /  14 + --  + -4 /  14 + --  + 4 /  14 + -- 
   \/        z       \/        z      \/        z     \/        z  
(i14+50z4)+(i14+50z4)+(14+50z4)+(14+50z4)\left(- i \sqrt[4]{14 + \frac{50}{z}}\right) + \left(i \sqrt[4]{14 + \frac{50}{z}}\right) + \left(- \sqrt[4]{14 + \frac{50}{z}}\right) + \left(\sqrt[4]{14 + \frac{50}{z}}\right)
=
0
00
product
       _________         _________        _________       _________
      /      50         /      50        /      50       /      50 
-I*4 /  14 + --  * I*4 /  14 + --  * -4 /  14 + --  * 4 /  14 + -- 
   \/        z       \/        z      \/        z     \/        z  
(i14+50z4)(i14+50z4)(14+50z4)(14+50z4)\left(- i \sqrt[4]{14 + \frac{50}{z}}\right) * \left(i \sqrt[4]{14 + \frac{50}{z}}\right) * \left(- \sqrt[4]{14 + \frac{50}{z}}\right) * \left(\sqrt[4]{14 + \frac{50}{z}}\right)
=
      50
-14 - --
      z 
1450z-14 - \frac{50}{z}