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La ecuación:
Ecuación (3√5+√y)^2-6√5y=0
Ecuación 6=4,1-2+b
Ecuación x^10=7
Ecuación (x^2-7)/(x^2+49)=0
Expresar {x} en función de y en la ecuación:
-8*x-6*y=-20
-20*x+1*y=12
-6*x-8*y=18
-11*x-18*y=18
Expresiones idénticas
(cero . cinco + cero . dos - uno . cinco ∙ cero . dos ∙h)[ uno + dos mil doscientos noventa y dos ∙ cero . dos - dos ∙(cero . cinco + cero . dos)∙h+ uno . cinco ∙ cero . dos ∙h^ dos ]= cero . cinco ∙ cero . dos ∙[ cuatrocientos cincuenta y ocho . cuatro -(dos mil doscientos noventa y dos ∙ cero . dos + uno)∙h+(cero . cinco + cero . dos)∙h^ dos - cero . cinco ∙ cero . dos ∙h^ tres ]
(0.5 más 0.02 menos 1.5∙0.02∙h)[1 más 2292∙0.02 menos 2∙(0.05 más 0.02)∙h más 1.5∙0.02∙h al cuadrado ] es igual a 0.5∙0.02∙[458.4 menos (2292∙0.02 más 1)∙h más (0.5 más 0.02)∙h al cuadrado menos 0.5∙0.02∙h al cubo ]
(cero . cinco más cero . dos menos uno . cinco ∙ cero . dos ∙h)[ uno más dos mil doscientos noventa y dos ∙ cero . dos menos dos ∙(cero . cinco más cero . dos)∙h más uno . cinco ∙ cero . dos ∙h en el grado dos ] es igual a cero . cinco ∙ cero . dos ∙[ cuatrocientos cincuenta y ocho . cuatro menos (dos mil doscientos noventa y dos ∙ cero . dos más uno)∙h más (cero . cinco más cero . dos)∙h en el grado dos menos cero . cinco ∙ cero . dos ∙h en el grado tres ]
(0.5+0.02-1.5∙0.02∙h)[1+2292∙0.02-2∙(0.05+0.02)∙h+1.5∙0.02∙h2]=0.5∙0.02∙[458.4-(2292∙0.02+1)∙h+(0.5+0.02)∙h2-0.5∙0.02∙h3]
0.5+0.02-1.5∙0.02∙h[1+2292∙0.02-2∙0.05+0.02∙h+1.5∙0.02∙h2]=0.5∙0.02∙[458.4-2292∙0.02+1∙h+0.5+0.02∙h2-0.5∙0.02∙h3]
(0.5+0.02-1.5∙0.02∙h)[1+2292∙0.02-2∙(0.05+0.02)∙h+1.5∙0.02∙h²]=0.5∙0.02∙[458.4-(2292∙0.02+1)∙h+(0.5+0.02)∙h²-0.5∙0.02∙h³]
(0.5+0.02-1.5∙0.02∙h)[1+2292∙0.02-2∙(0.05+0.02)∙h+1.5∙0.02∙h en el grado 2]=0.5∙0.02∙[458.4-(2292∙0.02+1)∙h+(0.5+0.02)∙h en el grado 2-0.5∙0.02∙h en el grado 3]
0.5+0.02-1.5∙0.02∙h[1+2292∙0.02-2∙0.05+0.02∙h+1.5∙0.02∙h^2]=0.5∙0.02∙[458.4-2292∙0.02+1∙h+0.5+0.02∙h^2-0.5∙0.02∙h^3]
(0.5+0.02-1.5∙0.02∙h)[1+2292∙0.02-2∙(0.05+0.02)∙h+1.5∙0.02∙h^2]=O.5∙0.02∙[458.4-(2292∙0.02+1)∙h+(0.5+0.02)∙h^2-0.5∙0.02∙h^3]
Expresiones semejantes
(0.5+0.02-1.5∙0.02∙h)[1-2292∙0.02-2∙(0.05+0.02)∙h+1.5∙0.02∙h^2]=0.5∙0.02∙[458.4-(2292∙0.02+1)∙h+(0.5+0.02)∙h^2-0.5∙0.02∙h^3]
(0.5+0.02-1.5∙0.02∙h)[1+2292∙0.02-2∙(0.05+0.02)∙h+1.5∙0.02∙h^2]=0.5∙0.02∙[458.4+(2292∙0.02+1)∙h+(0.5+0.02)∙h^2-0.5∙0.02∙h^3]
(0.5+0.02-1.5∙0.02∙h)[1+2292∙0.02-2∙(0.05+0.02)∙h+1.5∙0.02∙h^2]=0.5∙0.02∙[458.4-(2292∙0.02+1)∙h+(0.5+0.02)∙h^2+0.5∙0.02∙h^3]
(0.5+0.02-1.5∙0.02∙h)[1+2292∙0.02-2∙(0.05+0.02)∙h+1.5∙0.02∙h^2]=0.5∙0.02∙[458.4-(2292∙0.02-1)∙h+(0.5+0.02)∙h^2-0.5∙0.02∙h^3]
(0.5+0.02-1.5∙0.02∙h)[1+2292∙0.02-2∙(0.05+0.02)∙h+1.5∙0.02∙h^2]=0.5∙0.02∙[458.4-(2292∙0.02+1)∙h-(0.5+0.02)∙h^2-0.5∙0.02∙h^3]
(0.5+0.02-1.5∙0.02∙h)[1+2292∙0.02+2∙(0.05+0.02)∙h+1.5∙0.02∙h^2]=0.5∙0.02∙[458.4-(2292∙0.02+1)∙h+(0.5+0.02)∙h^2-0.5∙0.02∙h^3]
(0.5+0.02+1.5∙0.02∙h)[1+2292∙0.02-2∙(0.05+0.02)∙h+1.5∙0.02∙h^2]=0.5∙0.02∙[458.4-(2292∙0.02+1)∙h+(0.5+0.02)∙h^2-0.5∙0.02∙h^3]
(0.5+0.02-1.5∙0.02∙h)[1+2292∙0.02-2∙(0.05+0.02)∙h-1.5∙0.02∙h^2]=0.5∙0.02∙[458.4-(2292∙0.02+1)∙h+(0.5+0.02)∙h^2-0.5∙0.02∙h^3]
(0.5-0.02-1.5∙0.02∙h)[1+2292∙0.02-2∙(0.05+0.02)∙h+1.5∙0.02∙h^2]=0.5∙0.02∙[458.4-(2292∙0.02+1)∙h+(0.5+0.02)∙h^2-0.5∙0.02∙h^3]
(0.5+0.02-1.5∙0.02∙h)[1+2292∙0.02-2∙(0.05+0.02)∙h+1.5∙0.02∙h^2]=0.5∙0.02∙[458.4-(2292∙0.02+1)∙h+(0.5-0.02)∙h^2-0.5∙0.02∙h^3]
(0.5+0.02-1.5∙0.02∙h)[1+2292∙0.02-2∙(0.05-0.02)∙h+1.5∙0.02∙h^2]=0.5∙0.02∙[458.4-(2292∙0.02+1)∙h+(0.5+0.02)∙h^2-0.5∙0.02∙h^3]

(0.5+0.02-1.5∙0.02∙h)[1+2292∙0.02-2∙(0.05+0.02)∙h+1.5∙0.02∙h^2]=0.5∙0.02∙[458.4-(2292∙0.02+1)∙h+(0.5+0.02)∙h^2-0.5∙0.02∙h^3] la ecuación

El profesor se sorprenderá mucho al ver tu solución correcta😉

Solución

Ha introducido [src]

/              3    \ /    2292                        3    2\    1   /2292   /2292    \                   2    1    3\
|1/2 + 1/50 - ----*h|*|1 + ---- - 2*(1/20 + 1/50)*h + ----*h | = ----*|---- - |---- + 1|*h + (1/2 + 1/50)*h  - ----*h |
\             2*50  / \     50                        2*50   /   2*50 \ 5     \ 50     /                       2*50   /

$$\left(- \frac{3}{2 \cdot 50} h + \left(\frac{1}{50} + \frac{1}{2}\right)\right) \left(\frac{3}{2 \cdot 50} h^{2} + \left(- h 2 \left(\frac{1}{50} + \frac{1}{20}\right) + \left(1 + \frac{2292}{50}\right)\right)\right) = \frac{1}{2 \cdot 50} \left(- \frac{1}{2 \cdot 50} h^{3} + \left(h^{2} \left(\frac{1}{50} + \frac{1}{2}\right) + \left(- h \left(1 + \frac{2292}{50}\right) + \frac{2292}{5}\right)\right)\right)$$

Simplificar

Gráfica

Trazar el gráfico f1(x)

Trazar el gráfico f2(x)

Suma y producto de raíces [src]

suma

          ___________________________                                            /                                                    ___________________________\             ___________________________                                            /           ___________________________                                       \                                                                               
         /                 _________                                             |                                                   /                 _________ |            /                 _________                                             |          /                 _________                                        |                                                                               
        /  15110569   59*\/ 5499374                                              |                                           ___    /  15110569   59*\/ 5499374  |           /  15110569   59*\/ 5499374                                              |  ___    /  15110569   59*\/ 5499374                                         |             ___________________________                                       
     3 /   -------- + --------------                                             |                      ___                \/ 3 *3 /   -------- + -------------- |        3 /   -------- + --------------                                             |\/ 3 *3 /   -------- + --------------                        ___             |            /                 _________                                        
73   \/      1728           12                         55247                     |              55247*\/ 3                       \/      1728           12       |   73   \/      1728           12                         55247                     |      \/      1728           12                      55247*\/ 3              |   73      /  15110569   59*\/ 5499374                    55247                
-- - -------------------------------- + ------------------------------------ + I*|- ------------------------------------ - --------------------------------------| + -- - -------------------------------- + ------------------------------------ + I*|-------------------------------------- + ------------------------------------| + -- + 3 /   -------- + --------------  - ------------------------------------
12                  2                            ___________________________     |           ___________________________                     2                   |   12                  2                            ___________________________     |                  2                               ___________________________|   12   \/      1728           12                   ___________________________
                                                /                 _________      |          /                 _________                                          |                                                   /                 _________      |                                                 /                 _________ |                                                   /                 _________ 
                                               /  15110569   59*\/ 5499374       |         /  15110569   59*\/ 5499374                                           |                                                  /  15110569   59*\/ 5499374       |                                                /  15110569   59*\/ 5499374  |                                                  /  15110569   59*\/ 5499374  
                                        288*3 /   -------- + --------------      |  288*3 /   -------- + --------------                                          |                                           288*3 /   -------- + --------------      |                                         288*3 /   -------- + -------------- |                                           144*3 /   -------- + -------------- 
                                            \/      1728           12            \      \/      1728           12                                                /                                               \/      1728           12            \                                             \/      1728           12       /                                               \/      1728           12

$$\left(- \frac{55247}{144 \sqrt[3]{\frac{15110569}{1728} + \frac{59 \sqrt{5499374}}{12}}} + \frac{73}{12} + \sqrt[3]{\frac{15110569}{1728} + \frac{59 \sqrt{5499374}}{12}}\right) + \left(\left(- \frac{\sqrt[3]{\frac{15110569}{1728} + \frac{59 \sqrt{5499374}}{12}}}{2} + \frac{73}{12} + \frac{55247}{288 \sqrt[3]{\frac{15110569}{1728} + \frac{59 \sqrt{5499374}}{12}}} + i \left(- \frac{\sqrt{3} \sqrt[3]{\frac{15110569}{1728} + \frac{59 \sqrt{5499374}}{12}}}{2} - \frac{55247 \sqrt{3}}{288 \sqrt[3]{\frac{15110569}{1728} + \frac{59 \sqrt{5499374}}{12}}}\right)\right) + \left(- \frac{\sqrt[3]{\frac{15110569}{1728} + \frac{59 \sqrt{5499374}}{12}}}{2} + \frac{73}{12} + \frac{55247}{288 \sqrt[3]{\frac{15110569}{1728} + \frac{59 \sqrt{5499374}}{12}}} + i \left(\frac{55247 \sqrt{3}}{288 \sqrt[3]{\frac{15110569}{1728} + \frac{59 \sqrt{5499374}}{12}}} + \frac{\sqrt{3} \sqrt[3]{\frac{15110569}{1728} + \frac{59 \sqrt{5499374}}{12}}}{2}\right)\right)\right)$$

       /           ___________________________                                       \     /                                                    ___________________________\
       |          /                 _________                                        |     |                                                   /                 _________ |
       |  ___    /  15110569   59*\/ 5499374                                         |     |                                           ___    /  15110569   59*\/ 5499374  |
       |\/ 3 *3 /   -------- + --------------                        ___             |     |                      ___                \/ 3 *3 /   -------- + -------------- |
73     |      \/      1728           12                      55247*\/ 3              |     |              55247*\/ 3                       \/      1728           12       |
-- + I*|-------------------------------------- + ------------------------------------| + I*|- ------------------------------------ - --------------------------------------|
4      |                  2                               ___________________________|     |           ___________________________                     2                   |
       |                                                 /                 _________ |     |          /                 _________                                          |
       |                                                /  15110569   59*\/ 5499374  |     |         /  15110569   59*\/ 5499374                                           |
       |                                         288*3 /   -------- + -------------- |     |  288*3 /   -------- + --------------                                          |
       \                                             \/      1728           12       /     \      \/      1728           12                                                /

$$\frac{73}{4} + i \left(- \frac{\sqrt{3} \sqrt[3]{\frac{15110569}{1728} + \frac{59 \sqrt{5499374}}{12}}}{2} - \frac{55247 \sqrt{3}}{288 \sqrt[3]{\frac{15110569}{1728} + \frac{59 \sqrt{5499374}}{12}}}\right) + i \left(\frac{55247 \sqrt{3}}{288 \sqrt[3]{\frac{15110569}{1728} + \frac{59 \sqrt{5499374}}{12}}} + \frac{\sqrt{3} \sqrt[3]{\frac{15110569}{1728} + \frac{59 \sqrt{5499374}}{12}}}{2}\right)$$

producto

/          ___________________________                                            /                                                    ___________________________\\ /          ___________________________                                            /           ___________________________                                       \\                                                                               
|         /                 _________                                             |                                                   /                 _________ || |         /                 _________                                             |          /                 _________                                        ||                                                                               
|        /  15110569   59*\/ 5499374                                              |                                           ___    /  15110569   59*\/ 5499374  || |        /  15110569   59*\/ 5499374                                              |  ___    /  15110569   59*\/ 5499374                                         || /          ___________________________                                       \
|     3 /   -------- + --------------                                             |                      ___                \/ 3 *3 /   -------- + -------------- || |     3 /   -------- + --------------                                             |\/ 3 *3 /   -------- + --------------                        ___             || |         /                 _________                                        |
|73   \/      1728           12                         55247                     |              55247*\/ 3                       \/      1728           12       || |73   \/      1728           12                         55247                     |      \/      1728           12                      55247*\/ 3              || |73      /  15110569   59*\/ 5499374                    55247                |
|-- - -------------------------------- + ------------------------------------ + I*|- ------------------------------------ - --------------------------------------||*|-- - -------------------------------- + ------------------------------------ + I*|-------------------------------------- + ------------------------------------||*|-- + 3 /   -------- + --------------  - ------------------------------------|
|12                  2                            ___________________________     |           ___________________________                     2                   || |12                  2                            ___________________________     |                  2                               ___________________________|| |12   \/      1728           12                   ___________________________|
|                                                /                 _________      |          /                 _________                                          || |                                                /                 _________      |                                                 /                 _________ || |                                                /                 _________ |
|                                               /  15110569   59*\/ 5499374       |         /  15110569   59*\/ 5499374                                           || |                                               /  15110569   59*\/ 5499374       |                                                /  15110569   59*\/ 5499374  || |                                               /  15110569   59*\/ 5499374  |
|                                        288*3 /   -------- + --------------      |  288*3 /   -------- + --------------                                          || |                                        288*3 /   -------- + --------------      |                                         288*3 /   -------- + -------------- || |                                        144*3 /   -------- + -------------- |
\                                            \/      1728           12            \      \/      1728           12                                                // \                                            \/      1728           12            \                                             \/      1728           12       // \                                            \/      1728           12       /

$$\left(- \frac{\sqrt[3]{\frac{15110569}{1728} + \frac{59 \sqrt{5499374}}{12}}}{2} + \frac{73}{12} + \frac{55247}{288 \sqrt[3]{\frac{15110569}{1728} + \frac{59 \sqrt{5499374}}{12}}} + i \left(\frac{55247 \sqrt{3}}{288 \sqrt[3]{\frac{15110569}{1728} + \frac{59 \sqrt{5499374}}{12}}} + \frac{\sqrt{3} \sqrt[3]{\frac{15110569}{1728} + \frac{59 \sqrt{5499374}}{12}}}{2}\right)\right) \left(- \frac{\sqrt[3]{\frac{15110569}{1728} + \frac{59 \sqrt{5499374}}{12}}}{2} + \frac{73}{12} + \frac{55247}{288 \sqrt[3]{\frac{15110569}{1728} + \frac{59 \sqrt{5499374}}{12}}} + i \left(- \frac{\sqrt{3} \sqrt[3]{\frac{15110569}{1728} + \frac{59 \sqrt{5499374}}{12}}}{2} - \frac{55247 \sqrt{3}}{288 \sqrt[3]{\frac{15110569}{1728} + \frac{59 \sqrt{5499374}}{12}}}\right)\right) \left(- \frac{55247}{144 \sqrt[3]{\frac{15110569}{1728} + \frac{59 \sqrt{5499374}}{12}}} + \frac{73}{12} + \sqrt[3]{\frac{15110569}{1728} + \frac{59 \sqrt{5499374}}{12}}\right)$$

$$24716$$

Respuesta rápida [src]

               ___________________________                                            /                                                    ___________________________\
              /                 _________                                             |                                                   /                 _________ |
             /  15110569   59*\/ 5499374                                              |                                           ___    /  15110569   59*\/ 5499374  |
          3 /   -------- + --------------                                             |                      ___                \/ 3 *3 /   -------- + -------------- |
     73   \/      1728           12                         55247                     |              55247*\/ 3                       \/      1728           12       |
h1 = -- - -------------------------------- + ------------------------------------ + I*|- ------------------------------------ - --------------------------------------|
     12                  2                            ___________________________     |           ___________________________                     2                   |
                                                     /                 _________      |          /                 _________                                          |
                                                    /  15110569   59*\/ 5499374       |         /  15110569   59*\/ 5499374                                           |
                                             288*3 /   -------- + --------------      |  288*3 /   -------- + --------------                                          |
                                                 \/      1728           12            \      \/      1728           12                                                /

$$h_{1} = - \frac{\sqrt[3]{\frac{15110569}{1728} + \frac{59 \sqrt{5499374}}{12}}}{2} + \frac{73}{12} + \frac{55247}{288 \sqrt[3]{\frac{15110569}{1728} + \frac{59 \sqrt{5499374}}{12}}} + i \left(- \frac{\sqrt{3} \sqrt[3]{\frac{15110569}{1728} + \frac{59 \sqrt{5499374}}{12}}}{2} - \frac{55247 \sqrt{3}}{288 \sqrt[3]{\frac{15110569}{1728} + \frac{59 \sqrt{5499374}}{12}}}\right)$$

               ___________________________                                            /           ___________________________                                       \
              /                 _________                                             |          /                 _________                                        |
             /  15110569   59*\/ 5499374                                              |  ___    /  15110569   59*\/ 5499374                                         |
          3 /   -------- + --------------                                             |\/ 3 *3 /   -------- + --------------                        ___             |
     73   \/      1728           12                         55247                     |      \/      1728           12                      55247*\/ 3              |
h2 = -- - -------------------------------- + ------------------------------------ + I*|-------------------------------------- + ------------------------------------|
     12                  2                            ___________________________     |                  2                               ___________________________|
                                                     /                 _________      |                                                 /                 _________ |
                                                    /  15110569   59*\/ 5499374       |                                                /  15110569   59*\/ 5499374  |
                                             288*3 /   -------- + --------------      |                                         288*3 /   -------- + -------------- |
                                                 \/      1728           12            \                                             \/      1728           12       /

$$h_{2} = - \frac{\sqrt[3]{\frac{15110569}{1728} + \frac{59 \sqrt{5499374}}{12}}}{2} + \frac{73}{12} + \frac{55247}{288 \sqrt[3]{\frac{15110569}{1728} + \frac{59 \sqrt{5499374}}{12}}} + i \left(\frac{55247 \sqrt{3}}{288 \sqrt[3]{\frac{15110569}{1728} + \frac{59 \sqrt{5499374}}{12}}} + \frac{\sqrt{3} \sqrt[3]{\frac{15110569}{1728} + \frac{59 \sqrt{5499374}}{12}}}{2}\right)$$

               ___________________________                                       
              /                 _________                                        
     73      /  15110569   59*\/ 5499374                    55247                
h3 = -- + 3 /   -------- + --------------  - ------------------------------------
     12   \/      1728           12                   ___________________________
                                                     /                 _________ 
                                                    /  15110569   59*\/ 5499374  
                                             144*3 /   -------- + -------------- 
                                                 \/      1728           12

$$h_{3} = - \frac{55247}{144 \sqrt[3]{\frac{15110569}{1728} + \frac{59 \sqrt{5499374}}{12}}} + \frac{73}{12} + \sqrt[3]{\frac{15110569}{1728} + \frac{59 \sqrt{5499374}}{12}}$$

h3 = -55247/(144*(15110569/1728 + 59*sqrt(5499374)/12)^(1/3)) + 73/12 + (15110569/1728 + 59*sqrt(5499374)/12)^(1/3)

Respuesta numérica [src]

h1 = -0.515528853375308 - 35.7996384499088*i

h2 = -0.515528853375308 + 35.7996384499088*i

h3 = 19.2810577067506

h3 = 19.2810577067506

Otras calculadoras

¿Cómo usar?

Expresiones idénticas

Expresiones semejantes

(0.5+0.02-1.5∙0.02∙h)[1+2292∙0.02-2∙(0.05+0.02)∙h+1.5∙0.02∙h^2]=0.5∙0.02∙[458.4-(2292∙0.02+1)∙h+(0.5+0.02)∙h^2-0.5∙0.02∙h^3] la ecuación

Solución numérica:

Solución