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64,5*x^0,8+12,5*x=52 la ecuación

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Solución numérica:

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Solución

Respuesta rápida [src]
                                   ___________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________                                                                                                                                                                                                                             
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                                /   630926134655204364288        /    93579185080859555046362185728   33689854223278370951528448*\/ 287566617                                           95086036483381592064                                                                                                                                                 11206058800598614167827217555456                                                                                                                                                                                                                                                                                                                                      
                               /    --------------------- - 2*3 /   - ----------------------------- + ----------------------------------------  + ------------------------------------------------------------------------------------------------ + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------                                                                                                                                                                                                                              
                              /         95367431640625        \/          186264514923095703125                931322574615478515625                                  ____________________________________________________________________________                                   ________________________________________________________________________________________________________________________________________________________________________________________________________________              ________________________________________________________________________________________________________________________________________________________________________________________________________________
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                            /                                                                                                                                       /    93579185080859555046362185728   33689854223278370951528448*\/ 287566617                                   /                                /                                                                ___________                                                                                                                 /                                /                                                                ___________                                                                                                     
                           /                                                                                                                      95367431640625*3 /   - ----------------------------- + ----------------------------------------                                 /   315463067327602182144        /    93579185080859555046362185728   33689854223278370951528448*\/ 287566617                                           95086036483381592064                                                  /   315463067327602182144        /    93579185080859555046362185728   33689854223278370951528448*\/ 287566617                                           95086036483381592064                                       
                          /                                                                                                                                      \/          186264514923095703125                931322574615478515625              931322574615478515625*      /    --------------------- + 2*3 /   - ----------------------------- + ----------------------------------------  - ------------------------------------------------------------------------------------------------           /    --------------------- + 2*3 /   - ----------------------------- + ----------------------------------------  - ------------------------------------------------------------------------------------------------ 
                         /                                                                                                                                                                                                                                                      /         95367431640625        \/          186264514923095703125                931322574615478515625                                  ____________________________________________________________________________          /         95367431640625        \/          186264514923095703125                931322574615478515625                                  ____________________________________________________________________________ 
                        /                                                                                                                                                                                                                                                      /                                                                                                                                       /                                                                ___________          /                                                                                                                                       /                                                                ___________  
                       /                                                                                                                                                                                                                                                      /                                                                                                                                       /    93579185080859555046362185728   33689854223278370951528448*\/ 287566617          /                                                                                                                                       /    93579185080859555046362185728   33689854223278370951528448*\/ 287566617   
                      /                                                                                                                                                                                                                                                      /                                                                                                                      95367431640625*3 /   - ----------------------------- + ----------------------------------------        /                                                                                                                      95367431640625*3 /   - ----------------------------- + ----------------------------------------  
       8877540256   \/                                                                                                                                                                                                                                                     \/                                                                                                                                      \/          186264514923095703125                931322574615478515625                \/                                                                                                                                      \/          186264514923095703125                931322574615478515625            
x1 = - ---------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
        9765625                                                                                                                                                                                                                                             2                                                                                                                                                                                                                                                                                                                                                        2                                                                                                             
$$x_{1} = - \frac{\sqrt{- \frac{95086036483381592064}{95367431640625 \sqrt[3]{- \frac{93579185080859555046362185728}{186264514923095703125} + \frac{33689854223278370951528448 \sqrt{287566617}}{931322574615478515625}}} + 2 \sqrt[3]{- \frac{93579185080859555046362185728}{186264514923095703125} + \frac{33689854223278370951528448 \sqrt{287566617}}{931322574615478515625}} + \frac{315463067327602182144}{95367431640625}}}{2} - \frac{8877540256}{9765625} + \frac{\sqrt{- 2 \sqrt[3]{- \frac{93579185080859555046362185728}{186264514923095703125} + \frac{33689854223278370951528448 \sqrt{287566617}}{931322574615478515625}} + \frac{95086036483381592064}{95367431640625 \sqrt[3]{- \frac{93579185080859555046362185728}{186264514923095703125} + \frac{33689854223278370951528448 \sqrt{287566617}}{931322574615478515625}}} + \frac{630926134655204364288}{95367431640625} + \frac{11206058800598614167827217555456}{931322574615478515625 \sqrt{- \frac{95086036483381592064}{95367431640625 \sqrt[3]{- \frac{93579185080859555046362185728}{186264514923095703125} + \frac{33689854223278370951528448 \sqrt{287566617}}{931322574615478515625}}} + 2 \sqrt[3]{- \frac{93579185080859555046362185728}{186264514923095703125} + \frac{33689854223278370951528448 \sqrt{287566617}}{931322574615478515625}} + \frac{315463067327602182144}{95367431640625}}}}}{2}$$
x1 = -sqrt(-95086036483381592064/(95367431640625*(-93579185080859555046362185728/186264514923095703125 + 33689854223278370951528448*sqrt(287566617)/931322574615478515625)^(1/3)) + 2*(-93579185080859555046362185728/186264514923095703125 + 33689854223278370951528448*sqrt(287566617)/931322574615478515625)^(1/3) + 315463067327602182144/95367431640625)/2 - 8877540256/9765625 + sqrt(-2*(-93579185080859555046362185728/186264514923095703125 + 33689854223278370951528448*sqrt(287566617)/931322574615478515625)^(1/3) + 95086036483381592064/(95367431640625*(-93579185080859555046362185728/186264514923095703125 + 33689854223278370951528448*sqrt(287566617)/931322574615478515625)^(1/3)) + 630926134655204364288/95367431640625 + 11206058800598614167827217555456/(931322574615478515625*sqrt(-95086036483381592064/(95367431640625*(-93579185080859555046362185728/186264514923095703125 + 33689854223278370951528448*sqrt(287566617)/931322574615478515625)^(1/3)) + 2*(-93579185080859555046362185728/186264514923095703125 + 33689854223278370951528448*sqrt(287566617)/931322574615478515625)^(1/3) + 315463067327602182144/95367431640625)))/2
Respuesta numérica [src]
x1 = 0.623580579830093
x1 = 0.623580579830093