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cos(0.01*x^4+3)=0 la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
   /  4    \    
   | x     |    
cos|--- + 3| = 0
   \100    /    
$$\cos{\left(\frac{x^{4}}{100} + 3 \right)} = 0$$
Gráfica
Suma y producto de raíces [src]
suma
             ___________              ___________               ________               ________             ________               ________             ________               ________               ________               ________                ___________                ___________
    ____    /      3*pi      ____    /      3*pi        ___    /     pi        ___    /     pi      ___    /     pi        ___    /     pi      ___    /     pi        ___    /     pi        ___    /     pi        ___    /     pi        ____    /      3*pi        ____    /      3*pi 
- \/ 10 *4 /  -3 + ----  + \/ 10 *4 /  -3 + ----  + - \/ 5 *4 /  3 - --  - I*\/ 5 *4 /  3 - --  + \/ 5 *4 /  3 - --  + I*\/ 5 *4 /  3 - --  + \/ 5 *4 /  3 - --  - I*\/ 5 *4 /  3 - --  + - \/ 5 *4 /  3 - --  + I*\/ 5 *4 /  3 - --  - I*\/ 10 *4 /  -3 + ----  + I*\/ 10 *4 /  -3 + ---- 
         \/         2             \/         2              \/       2             \/       2           \/       2             \/       2           \/       2             \/       2             \/       2             \/       2              \/         2               \/         2   
$$\left(- \sqrt{10} i \sqrt[4]{-3 + \frac{3 \pi}{2}} + \left(\left(\left(\sqrt{5} \sqrt[4]{3 - \frac{\pi}{2}} - \sqrt{5} i \sqrt[4]{3 - \frac{\pi}{2}}\right) + \left(\left(\left(- \sqrt{10} \sqrt[4]{-3 + \frac{3 \pi}{2}} + \sqrt{10} \sqrt[4]{-3 + \frac{3 \pi}{2}}\right) + \left(- \sqrt{5} \sqrt[4]{3 - \frac{\pi}{2}} - \sqrt{5} i \sqrt[4]{3 - \frac{\pi}{2}}\right)\right) + \left(\sqrt{5} \sqrt[4]{3 - \frac{\pi}{2}} + \sqrt{5} i \sqrt[4]{3 - \frac{\pi}{2}}\right)\right)\right) + \left(- \sqrt{5} \sqrt[4]{3 - \frac{\pi}{2}} + \sqrt{5} i \sqrt[4]{3 - \frac{\pi}{2}}\right)\right)\right) + \sqrt{10} i \sqrt[4]{-3 + \frac{3 \pi}{2}}$$
=
0
$$0$$
producto
            ___________            ___________ /            ________               ________\ /          ________               ________\ /          ________               ________\ /            ________               ________\ /              ___________\              ___________
   ____    /      3*pi    ____    /      3*pi  |    ___    /     pi        ___    /     pi | |  ___    /     pi        ___    /     pi | |  ___    /     pi        ___    /     pi | |    ___    /     pi        ___    /     pi | |     ____    /      3*pi |     ____    /      3*pi 
-\/ 10 *4 /  -3 + ---- *\/ 10 *4 /  -3 + ---- *|- \/ 5 *4 /  3 - --  - I*\/ 5 *4 /  3 - -- |*|\/ 5 *4 /  3 - --  + I*\/ 5 *4 /  3 - -- |*|\/ 5 *4 /  3 - --  - I*\/ 5 *4 /  3 - -- |*|- \/ 5 *4 /  3 - --  + I*\/ 5 *4 /  3 - -- |*|-I*\/ 10 *4 /  -3 + ---- |*I*\/ 10 *4 /  -3 + ---- 
        \/         2           \/         2    \        \/       2             \/       2  / \      \/       2             \/       2  / \      \/       2             \/       2  / \        \/       2             \/       2  / \          \/         2   /          \/         2   
$$- \sqrt{10} \sqrt[4]{-3 + \frac{3 \pi}{2}} \sqrt{10} \sqrt[4]{-3 + \frac{3 \pi}{2}} \left(- \sqrt{5} \sqrt[4]{3 - \frac{\pi}{2}} - \sqrt{5} i \sqrt[4]{3 - \frac{\pi}{2}}\right) \left(\sqrt{5} \sqrt[4]{3 - \frac{\pi}{2}} + \sqrt{5} i \sqrt[4]{3 - \frac{\pi}{2}}\right) \left(\sqrt{5} \sqrt[4]{3 - \frac{\pi}{2}} - \sqrt{5} i \sqrt[4]{3 - \frac{\pi}{2}}\right) \left(- \sqrt{5} \sqrt[4]{3 - \frac{\pi}{2}} + \sqrt{5} i \sqrt[4]{3 - \frac{\pi}{2}}\right) \left(- \sqrt{10} i \sqrt[4]{-3 + \frac{3 \pi}{2}}\right) \sqrt{10} i \sqrt[4]{-3 + \frac{3 \pi}{2}}$$
=
                          2
90000 - 60000*pi + 7500*pi 
$$- 60000 \pi + 7500 \pi^{2} + 90000$$
90000 - 60000*pi + 7500*pi^2
Respuesta rápida [src]
                 ___________
        ____    /      3*pi 
x1 = -\/ 10 *4 /  -3 + ---- 
             \/         2   
$$x_{1} = - \sqrt{10} \sqrt[4]{-3 + \frac{3 \pi}{2}}$$
                ___________
       ____    /      3*pi 
x2 = \/ 10 *4 /  -3 + ---- 
            \/         2   
$$x_{2} = \sqrt{10} \sqrt[4]{-3 + \frac{3 \pi}{2}}$$
                 ________               ________
         ___    /     pi        ___    /     pi 
x3 = - \/ 5 *4 /  3 - --  - I*\/ 5 *4 /  3 - -- 
             \/       2             \/       2  
$$x_{3} = - \sqrt{5} \sqrt[4]{3 - \frac{\pi}{2}} - \sqrt{5} i \sqrt[4]{3 - \frac{\pi}{2}}$$
               ________               ________
       ___    /     pi        ___    /     pi 
x4 = \/ 5 *4 /  3 - --  + I*\/ 5 *4 /  3 - -- 
           \/       2             \/       2  
$$x_{4} = \sqrt{5} \sqrt[4]{3 - \frac{\pi}{2}} + \sqrt{5} i \sqrt[4]{3 - \frac{\pi}{2}}$$
               ________               ________
       ___    /     pi        ___    /     pi 
x5 = \/ 5 *4 /  3 - --  - I*\/ 5 *4 /  3 - -- 
           \/       2             \/       2  
$$x_{5} = \sqrt{5} \sqrt[4]{3 - \frac{\pi}{2}} - \sqrt{5} i \sqrt[4]{3 - \frac{\pi}{2}}$$
                 ________               ________
         ___    /     pi        ___    /     pi 
x6 = - \/ 5 *4 /  3 - --  + I*\/ 5 *4 /  3 - -- 
             \/       2             \/       2  
$$x_{6} = - \sqrt{5} \sqrt[4]{3 - \frac{\pi}{2}} + \sqrt{5} i \sqrt[4]{3 - \frac{\pi}{2}}$$
                   ___________
          ____    /      3*pi 
x7 = -I*\/ 10 *4 /  -3 + ---- 
               \/         2   
$$x_{7} = - \sqrt{10} i \sqrt[4]{-3 + \frac{3 \pi}{2}}$$
                  ___________
         ____    /      3*pi 
x8 = I*\/ 10 *4 /  -3 + ---- 
              \/         2   
$$x_{8} = \sqrt{10} i \sqrt[4]{-3 + \frac{3 \pi}{2}}$$
x8 = sqrt(10)*i*(-3 + 3*pi/2)^(1/4)
Respuesta numérica [src]
x1 = 9.81541632810875
x2 = 74.1975435854411
x3 = -28.6163211102428
x4 = -11.7919542693515
x5 = 6.14713315209171
x6 = -43.6802713139543
x7 = -44.0092032637324
x8 = 31.9346635060016
x9 = -7.76044479781053
x10 = 25.0057638464518
x11 = -3.61743391609046
x12 = -30.8134786878602
x13 = 18.3199130086678
x14 = 30.1622597964287
x15 = -93.7933145112279
x16 = 45.1874505879919
x17 = 100.113505464439
x18 = 16.1313974592151
x19 = 92.1001517528613
x20 = 20.4760526061886
x21 = 54.1175654865116
x22 = -19.6704123223908
x23 = -5.77688447107413
x24 = -31.8572114223263
x25 = -95.8369670616287
x26 = -21.4635250926375
x27 = -9.81541632810875
x28 = -45.8633174111424
x29 = 40.3951641795082
x30 = 59.4109075977303
x31 = -73.8657666883809
x32 = -24.4231311553668
x33 = 25.9504596756538
x34 = 72.3051463541213
x35 = 18.7752817201976
x36 = 75.585370229809
x37 = 3.61743391609046
x38 = -63.9381941406099
x39 = 14.1204577621949
x40 = 46.2492020582215
x40 = 46.2492020582215