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La ecuación:
Ecuación 56/x=(10+6)/2
Ecuación 15-4(7-x)=11
Ecuación 3^8-x=27
Ecuación 6,4(y-12,8)=3,2
Expresar {x} en función de y en la ecuación:
20*x+7*y=-9
-13*x-10*y=5
-13*x-19*y=17
15*x+7*y=2
Expresiones idénticas
(cero . siete + cero . uno - dos . uno * cero . uno *x)*(uno + tres mil cuatrocientos treinta y ocho * cero . uno - dos *(cero . siete + cero . uno)*x+ dos . uno * cero . uno *x^ dos)= cero . siete * cero . uno *(seiscientos ochenta y siete . seis -(tres mil cuatrocientos treinta y ocho * cero . uno + uno)*x+(cero . siete + cero . uno)*x^ dos - cero . uno * cero . cinco *x^ tres)
(0.7 más 0.01 menos 2.1 multiplicar por 0.01 multiplicar por x) multiplicar por (1 más 3438 multiplicar por 0.01 menos 2 multiplicar por (0.7 más 0.01) multiplicar por x más 2.1 multiplicar por 0.01 multiplicar por x al cuadrado ) es igual a 0.7 multiplicar por 0.01 multiplicar por (687.6 menos (3438 multiplicar por 0.01 más 1) multiplicar por x más (0.7 más 0.01) multiplicar por x al cuadrado menos 0.01 multiplicar por 0.5 multiplicar por x al cubo )
(cero . siete más cero . uno menos dos . uno multiplicar por cero . uno multiplicar por x) multiplicar por (uno más tres mil cuatrocientos treinta y ocho multiplicar por cero . uno menos dos multiplicar por (cero . siete más cero . uno) multiplicar por x más dos . uno multiplicar por cero . uno multiplicar por x en el grado dos) es igual a cero . siete multiplicar por cero . uno multiplicar por (seiscientos ochenta y siete . seis menos (tres mil cuatrocientos treinta y ocho multiplicar por cero . uno más uno) multiplicar por x más (cero . siete más cero . uno) multiplicar por x en el grado dos menos cero . uno multiplicar por cero . cinco multiplicar por x en el grado tres)
(0.7+0.01-2.1*0.01*x)*(1+3438*0.01-2*(0.7+0.01)*x+2.1*0.01*x2)=0.7*0.01*(687.6-(3438*0.01+1)*x+(0.7+0.01)*x2-0.01*0.5*x3)
0.7+0.01-2.1*0.01*x*1+3438*0.01-2*0.7+0.01*x+2.1*0.01*x2=0.7*0.01*687.6-3438*0.01+1*x+0.7+0.01*x2-0.01*0.5*x3
(0.7+0.01-2.1*0.01*x)*(1+3438*0.01-2*(0.7+0.01)*x+2.1*0.01*x²)=0.7*0.01*(687.6-(3438*0.01+1)*x+(0.7+0.01)*x²-0.01*0.5*x³)
(0.7+0.01-2.1*0.01*x)*(1+3438*0.01-2*(0.7+0.01)*x+2.1*0.01*x en el grado 2)=0.7*0.01*(687.6-(3438*0.01+1)*x+(0.7+0.01)*x en el grado 2-0.01*0.5*x en el grado 3)
(0.7+0.01-2.10.01x)(1+34380.01-2(0.7+0.01)x+2.10.01x^2)=0.70.01(687.6-(34380.01+1)x+(0.7+0.01)x^2-0.010.5x^3)
(0.7+0.01-2.10.01x)(1+34380.01-2(0.7+0.01)x+2.10.01x2)=0.70.01(687.6-(34380.01+1)x+(0.7+0.01)x2-0.010.5x3)
0.7+0.01-2.10.01x1+34380.01-20.7+0.01x+2.10.01x2=0.70.01687.6-34380.01+1x+0.7+0.01x2-0.010.5x3
0.7+0.01-2.10.01x1+34380.01-20.7+0.01x+2.10.01x^2=0.70.01687.6-34380.01+1x+0.7+0.01x^2-0.010.5x^3
(0.7+0.01-2.1*0.01*x)*(1+3438*0.01-2*(0.7+0.01)*x+2.1*0.01*x^2)=O.7*0.01*(687.6-(3438*0.01+1)*x+(0.7+0.01)*x^2-0.01*0.5*x^3)
Expresiones semejantes
(0.7-0.01-2.1*0.01*x)*(1+3438*0.01-2*(0.7+0.01)*x+2.1*0.01*x^2)=0.7*0.01*(687.6-(3438*0.01+1)*x+(0.7+0.01)*x^2-0.01*0.5*x^3)
(0.7+0.01-2.1*0.01*x)*(1+3438*0.01-2*(0.7-0.01)*x+2.1*0.01*x^2)=0.7*0.01*(687.6-(3438*0.01+1)*x+(0.7+0.01)*x^2-0.01*0.5*x^3)
(0.7+0.01-2.1*0.01*x)*(1+3438*0.01-2*(0.7+0.01)*x+2.1*0.01*x^2)=0.7*0.01*(687.6-(3438*0.01+1)*x-(0.7+0.01)*x^2-0.01*0.5*x^3)
(0.7+0.01-2.1*0.01*x)*(1+3438*0.01-2*(0.7+0.01)*x+2.1*0.01*x^2)=0.7*0.01*(687.6-(3438*0.01+1)*x+(0.7-0.01)*x^2-0.01*0.5*x^3)
(0.7+0.01+2.1*0.01*x)*(1+3438*0.01-2*(0.7+0.01)*x+2.1*0.01*x^2)=0.7*0.01*(687.6-(3438*0.01+1)*x+(0.7+0.01)*x^2-0.01*0.5*x^3)
(0.7+0.01-2.1*0.01*x)*(1+3438*0.01-2*(0.7+0.01)*x+2.1*0.01*x^2)=0.7*0.01*(687.6+(3438*0.01+1)*x+(0.7+0.01)*x^2-0.01*0.5*x^3)
(0.7+0.01-2.1*0.01*x)*(1-3438*0.01-2*(0.7+0.01)*x+2.1*0.01*x^2)=0.7*0.01*(687.6-(3438*0.01+1)*x+(0.7+0.01)*x^2-0.01*0.5*x^3)
(0.7+0.01-2.1*0.01*x)*(1+3438*0.01+2*(0.7+0.01)*x+2.1*0.01*x^2)=0.7*0.01*(687.6-(3438*0.01+1)*x+(0.7+0.01)*x^2-0.01*0.5*x^3)
(0.7+0.01-2.1*0.01*x)*(1+3438*0.01-2*(0.7+0.01)*x+2.1*0.01*x^2)=0.7*0.01*(687.6-(3438*0.01-1)*x+(0.7+0.01)*x^2-0.01*0.5*x^3)
(0.7+0.01-2.1*0.01*x)*(1+3438*0.01-2*(0.7+0.01)*x-2.1*0.01*x^2)=0.7*0.01*(687.6-(3438*0.01+1)*x+(0.7+0.01)*x^2-0.01*0.5*x^3)
(0.7+0.01-2.1*0.01*x)*(1+3438*0.01-2*(0.7+0.01)*x+2.1*0.01*x^2)=0.7*0.01*(687.6-(3438*0.01+1)*x+(0.7+0.01)*x^2+0.01*0.5*x^3)

(0.7+0.01-2.10.01x)(1+34380.01-2(0.7+0.01)x+2.10.01x^2)=0.70.01(687.6-(34380.01+1)x+(0.7+0.01)x^2-0.010.5*x^3) la ecuación

El profesor se sorprenderá mucho al ver tu solución correcta😉

Solución

Ha introducido [src]

/                 21    \ /    3438                          21    2\     7    /3438   /3438    \                     2     1    3\
|7/10 + 1/100 - ------*x|*|1 + ---- - 2*(7/10 + 1/100)*x + ------*x | = ------*|---- - |---- + 1|*x + (7/10 + 1/100)*x  - -----*x |
\               10*100  / \    100                         10*100   /   10*100 \ 5     \100     /                         100*2   /

\left(- \frac{21}{10 \cdot 100} x + \left(\frac{1}{100} + \frac{7}{10}\right)\right) \left(\frac{21}{10 \cdot 100} x^{2} + \left(- x 2 \left(\frac{1}{100} + \frac{7}{10}\right) + \left(1 + \frac{3438}{100}\right)\right)\right) = \frac{7}{10 \cdot 100} \left(- \frac{1}{2 \cdot 100} x^{3} + \left(x^{2} \left(\frac{1}{100} + \frac{7}{10}\right) + \left(- x \left(1 + \frac{3438}{100}\right) + \frac{3438}{5}\right)\right)\right)

Simplificar

Gráfica

Trazar el gráfico f1(x)

Trazar el gráfico f2(x)

Suma y producto de raíces [src]

suma

                                                                ______________________________________     /           ______________________________________                                                    \                                                                   ______________________________________     /                                                                 ______________________________________\               ______________________________________                                                    
                                                               /                   __________________      |          /                   __________________                                                     |                                                                  /                   __________________      |                                                                /                   __________________ |              /                   __________________                                                     
                                                              /  2997671650   30*\/ 7198463224733865       |  ___    /  2997671650   30*\/ 7198463224733865                                                      |                                                                 /  2997671650   30*\/ 7198463224733865       |                                                        ___    /  2997671650   30*\/ 7198463224733865  |             /  2997671650   30*\/ 7198463224733865                                                      
                                                           3 /   ---------- + -----------------------      |\/ 3 *3 /   ---------- + -----------------------                                ___                  |                                                              3 /   ---------- + -----------------------      |                              ___                     \/ 3 *3 /   ---------- + ----------------------- |          3 /   ---------- + -----------------------                                                     
2840                        4471960                        \/      170723              41209               |      \/      170723              41209                               4471960*\/ 3                   |   2840                        4471960                        \/      170723              41209               |                    4471960*\/ 3                            \/      170723              41209          |   2840   \/      170723              41209                                  8943920                     
---- - ------------------------------------------------- + ------------------------------------------- + I*|------------------------------------------------- + -------------------------------------------------| + ---- - ------------------------------------------------- + ------------------------------------------- + I*|- ------------------------------------------------- - -------------------------------------------------| + ---- - ------------------------------------------- + -------------------------------------------------
 87               ______________________________________                        6                          |                        6                                      ______________________________________|    87               ______________________________________                        6                          |             ______________________________________                           6                        |    87                         3                                   ______________________________________
                 /                   __________________                                                    |                                                              /                   __________________ |                    /                   __________________                                                    |            /                   __________________                                                     |                                                                  /                   __________________ 
                /  2997671650   30*\/ 7198463224733865                                                     |                                                             /  2997671650   30*\/ 7198463224733865  |                   /  2997671650   30*\/ 7198463224733865                                                     |           /  2997671650   30*\/ 7198463224733865                                                      |                                                                 /  2997671650   30*\/ 7198463224733865  
       17661*3 /   ---------- + -----------------------                                                    |                                                    17661*3 /   ---------- + ----------------------- |          17661*3 /   ---------- + -----------------------                                                    |  17661*3 /   ---------- + -----------------------                                                     |                                                        17661*3 /   ---------- + ----------------------- 
             \/      170723              41209                                                             \                                                          \/      170723              41209          /                \/      170723              41209                                                             \        \/      170723              41209                                                              /                                                              \/      170723              41209

\left(- \frac{\sqrt[3]{\frac{2997671650}{170723} + \frac{30 \sqrt{7198463224733865}}{41209}}}{3} + \frac{8943920}{17661 \sqrt[3]{\frac{2997671650}{170723} + \frac{30 \sqrt{7198463224733865}}{41209}}} + \frac{2840}{87}\right) + \left(\left(- \frac{4471960}{17661 \sqrt[3]{\frac{2997671650}{170723} + \frac{30 \sqrt{7198463224733865}}{41209}}} + \frac{\sqrt[3]{\frac{2997671650}{170723} + \frac{30 \sqrt{7198463224733865}}{41209}}}{6} + \frac{2840}{87} + i \left(- \frac{\sqrt{3} \sqrt[3]{\frac{2997671650}{170723} + \frac{30 \sqrt{7198463224733865}}{41209}}}{6} - \frac{4471960 \sqrt{3}}{17661 \sqrt[3]{\frac{2997671650}{170723} + \frac{30 \sqrt{7198463224733865}}{41209}}}\right)\right) + \left(- \frac{4471960}{17661 \sqrt[3]{\frac{2997671650}{170723} + \frac{30 \sqrt{7198463224733865}}{41209}}} + \frac{\sqrt[3]{\frac{2997671650}{170723} + \frac{30 \sqrt{7198463224733865}}{41209}}}{6} + \frac{2840}{87} + i \left(\frac{4471960 \sqrt{3}}{17661 \sqrt[3]{\frac{2997671650}{170723} + \frac{30 \sqrt{7198463224733865}}{41209}}} + \frac{\sqrt{3} \sqrt[3]{\frac{2997671650}{170723} + \frac{30 \sqrt{7198463224733865}}{41209}}}{6}\right)\right)\right)

         /                                                                 ______________________________________\     /           ______________________________________                                                    \
         |                                                                /                   __________________ |     |          /                   __________________                                                     |
         |                                                        ___    /  2997671650   30*\/ 7198463224733865  |     |  ___    /  2997671650   30*\/ 7198463224733865                                                      |
         |                              ___                     \/ 3 *3 /   ---------- + ----------------------- |     |\/ 3 *3 /   ---------- + -----------------------                                ___                  |
2840     |                    4471960*\/ 3                            \/      170723              41209          |     |      \/      170723              41209                               4471960*\/ 3                   |
---- + I*|- ------------------------------------------------- - -------------------------------------------------| + I*|------------------------------------------------- + -------------------------------------------------|
 29      |             ______________________________________                           6                        |     |                        6                                      ______________________________________|
         |            /                   __________________                                                     |     |                                                              /                   __________________ |
         |           /  2997671650   30*\/ 7198463224733865                                                      |     |                                                             /  2997671650   30*\/ 7198463224733865  |
         |  17661*3 /   ---------- + -----------------------                                                     |     |                                                    17661*3 /   ---------- + ----------------------- |
         \        \/      170723              41209                                                              /     \                                                          \/      170723              41209          /

\frac{2840}{29} + i \left(- \frac{\sqrt{3} \sqrt[3]{\frac{2997671650}{170723} + \frac{30 \sqrt{7198463224733865}}{41209}}}{6} - \frac{4471960 \sqrt{3}}{17661 \sqrt[3]{\frac{2997671650}{170723} + \frac{30 \sqrt{7198463224733865}}{41209}}}\right) + i \left(\frac{4471960 \sqrt{3}}{17661 \sqrt[3]{\frac{2997671650}{170723} + \frac{30 \sqrt{7198463224733865}}{41209}}} + \frac{\sqrt{3} \sqrt[3]{\frac{2997671650}{170723} + \frac{30 \sqrt{7198463224733865}}{41209}}}{6}\right)

producto

/                                                                ______________________________________     /           ______________________________________                                                    \\ /                                                                ______________________________________     /                                                                 ______________________________________\\ /            ______________________________________                                                    \
|                                                               /                   __________________      |          /                   __________________                                                     || |                                                               /                   __________________      |                                                                /                   __________________ || |           /                   __________________                                                     |
|                                                              /  2997671650   30*\/ 7198463224733865       |  ___    /  2997671650   30*\/ 7198463224733865                                                      || |                                                              /  2997671650   30*\/ 7198463224733865       |                                                        ___    /  2997671650   30*\/ 7198463224733865  || |          /  2997671650   30*\/ 7198463224733865                                                      |
|                                                           3 /   ---------- + -----------------------      |\/ 3 *3 /   ---------- + -----------------------                                ___                  || |                                                           3 /   ---------- + -----------------------      |                              ___                     \/ 3 *3 /   ---------- + ----------------------- || |       3 /   ---------- + -----------------------                                                     |
|2840                        4471960                        \/      170723              41209               |      \/      170723              41209                               4471960*\/ 3                   || |2840                        4471960                        \/      170723              41209               |                    4471960*\/ 3                            \/      170723              41209          || |2840   \/      170723              41209                                  8943920                     |
|---- - ------------------------------------------------- + ------------------------------------------- + I*|------------------------------------------------- + -------------------------------------------------||*|---- - ------------------------------------------------- + ------------------------------------------- + I*|- ------------------------------------------------- - -------------------------------------------------||*|---- - ------------------------------------------- + -------------------------------------------------|
| 87               ______________________________________                        6                          |                        6                                      ______________________________________|| | 87               ______________________________________                        6                          |             ______________________________________                           6                        || | 87                         3                                   ______________________________________|
|                 /                   __________________                                                    |                                                              /                   __________________ || |                 /                   __________________                                                    |            /                   __________________                                                     || |                                                               /                   __________________ |
|                /  2997671650   30*\/ 7198463224733865                                                     |                                                             /  2997671650   30*\/ 7198463224733865  || |                /  2997671650   30*\/ 7198463224733865                                                     |           /  2997671650   30*\/ 7198463224733865                                                      || |                                                              /  2997671650   30*\/ 7198463224733865  |
|       17661*3 /   ---------- + -----------------------                                                    |                                                    17661*3 /   ---------- + ----------------------- || |       17661*3 /   ---------- + -----------------------                                                    |  17661*3 /   ---------- + -----------------------                                                     || |                                                     17661*3 /   ---------- + ----------------------- |
\             \/      170723              41209                                                             \                                                          \/      170723              41209          // \             \/      170723              41209                                                             \        \/      170723              41209                                                              // \                                                           \/      170723              41209          /

\left(- \frac{4471960}{17661 \sqrt[3]{\frac{2997671650}{170723} + \frac{30 \sqrt{7198463224733865}}{41209}}} + \frac{\sqrt[3]{\frac{2997671650}{170723} + \frac{30 \sqrt{7198463224733865}}{41209}}}{6} + \frac{2840}{87} + i \left(\frac{4471960 \sqrt{3}}{17661 \sqrt[3]{\frac{2997671650}{170723} + \frac{30 \sqrt{7198463224733865}}{41209}}} + \frac{\sqrt{3} \sqrt[3]{\frac{2997671650}{170723} + \frac{30 \sqrt{7198463224733865}}{41209}}}{6}\right)\right) \left(- \frac{4471960}{17661 \sqrt[3]{\frac{2997671650}{170723} + \frac{30 \sqrt{7198463224733865}}{41209}}} + \frac{\sqrt[3]{\frac{2997671650}{170723} + \frac{30 \sqrt{7198463224733865}}{41209}}}{6} + \frac{2840}{87} + i \left(- \frac{\sqrt{3} \sqrt[3]{\frac{2997671650}{170723} + \frac{30 \sqrt{7198463224733865}}{41209}}}{6} - \frac{4471960 \sqrt{3}}{17661 \sqrt[3]{\frac{2997671650}{170723} + \frac{30 \sqrt{7198463224733865}}{41209}}}\right)\right) \left(- \frac{\sqrt[3]{\frac{2997671650}{170723} + \frac{30 \sqrt{7198463224733865}}{41209}}}{3} + \frac{8943920}{17661 \sqrt[3]{\frac{2997671650}{170723} + \frac{30 \sqrt{7198463224733865}}{41209}}} + \frac{2840}{87}\right)

10153300
--------
  203

\frac{10153300}{203}

10153300/203

Respuesta rápida [src]

                                                                     ______________________________________     /           ______________________________________                                                    \
                                                                    /                   __________________      |          /                   __________________                                                     |
                                                                   /  2997671650   30*\/ 7198463224733865       |  ___    /  2997671650   30*\/ 7198463224733865                                                      |
                                                                3 /   ---------- + -----------------------      |\/ 3 *3 /   ---------- + -----------------------                                ___                  |
     2840                        4471960                        \/      170723              41209               |      \/      170723              41209                               4471960*\/ 3                   |
x1 = ---- - ------------------------------------------------- + ------------------------------------------- + I*|------------------------------------------------- + -------------------------------------------------|
      87               ______________________________________                        6                          |                        6                                      ______________________________________|
                      /                   __________________                                                    |                                                              /                   __________________ |
                     /  2997671650   30*\/ 7198463224733865                                                     |                                                             /  2997671650   30*\/ 7198463224733865  |
            17661*3 /   ---------- + -----------------------                                                    |                                                    17661*3 /   ---------- + ----------------------- |
                  \/      170723              41209                                                             \                                                          \/      170723              41209          /

x_{1} = - \frac{4471960}{17661 \sqrt[3]{\frac{2997671650}{170723} + \frac{30 \sqrt{7198463224733865}}{41209}}} + \frac{\sqrt[3]{\frac{2997671650}{170723} + \frac{30 \sqrt{7198463224733865}}{41209}}}{6} + \frac{2840}{87} + i \left(\frac{4471960 \sqrt{3}}{17661 \sqrt[3]{\frac{2997671650}{170723} + \frac{30 \sqrt{7198463224733865}}{41209}}} + \frac{\sqrt{3} \sqrt[3]{\frac{2997671650}{170723} + \frac{30 \sqrt{7198463224733865}}{41209}}}{6}\right)

                                                                     ______________________________________     /                                                                 ______________________________________\
                                                                    /                   __________________      |                                                                /                   __________________ |
                                                                   /  2997671650   30*\/ 7198463224733865       |                                                        ___    /  2997671650   30*\/ 7198463224733865  |
                                                                3 /   ---------- + -----------------------      |                              ___                     \/ 3 *3 /   ---------- + ----------------------- |
     2840                        4471960                        \/      170723              41209               |                    4471960*\/ 3                            \/      170723              41209          |
x2 = ---- - ------------------------------------------------- + ------------------------------------------- + I*|- ------------------------------------------------- - -------------------------------------------------|
      87               ______________________________________                        6                          |             ______________________________________                           6                        |
                      /                   __________________                                                    |            /                   __________________                                                     |
                     /  2997671650   30*\/ 7198463224733865                                                     |           /  2997671650   30*\/ 7198463224733865                                                      |
            17661*3 /   ---------- + -----------------------                                                    |  17661*3 /   ---------- + -----------------------                                                     |
                  \/      170723              41209                                                             \        \/      170723              41209                                                              /

x_{2} = - \frac{4471960}{17661 \sqrt[3]{\frac{2997671650}{170723} + \frac{30 \sqrt{7198463224733865}}{41209}}} + \frac{\sqrt[3]{\frac{2997671650}{170723} + \frac{30 \sqrt{7198463224733865}}{41209}}}{6} + \frac{2840}{87} + i \left(- \frac{\sqrt{3} \sqrt[3]{\frac{2997671650}{170723} + \frac{30 \sqrt{7198463224733865}}{41209}}}{6} - \frac{4471960 \sqrt{3}}{17661 \sqrt[3]{\frac{2997671650}{170723} + \frac{30 \sqrt{7198463224733865}}{41209}}}\right)

                 ______________________________________                                                    
                /                   __________________                                                     
               /  2997671650   30*\/ 7198463224733865                                                      
            3 /   ---------- + -----------------------                                                     
     2840   \/      170723              41209                                  8943920                     
x3 = ---- - ------------------------------------------- + -------------------------------------------------
      87                         3                                   ______________________________________
                                                                    /                   __________________ 
                                                                   /  2997671650   30*\/ 7198463224733865  
                                                          17661*3 /   ---------- + ----------------------- 
                                                                \/      170723              41209

x_{3} = - \frac{\sqrt[3]{\frac{2997671650}{170723} + \frac{30 \sqrt{7198463224733865}}{41209}}}{3} + \frac{8943920}{17661 \sqrt[3]{\frac{2997671650}{170723} + \frac{30 \sqrt{7198463224733865}}{41209}}} + \frac{2840}{87}

x3 = -(2997671650/170723 + 30*sqrt(7198463224733865)/41209)^(1/3)/3 + 8943920/(17661*(2997671650/170723 + 30*sqrt(7198463224733865)/41209)^(1/3)) + 2840/87

Respuesta numérica [src]

x1 = 33.9117231853917 + 22.6107468797091*i

x2 = 30.1075881119753

x3 = 33.9117231853917 - 22.6107468797091*i

x3 = 33.9117231853917 - 22.6107468797091*i

Otras calculadoras

¿Cómo usar?

Expresiones idénticas

Expresiones semejantes

(0.7+0.01-2.1*0.01*x)*(1+3438*0.01-2*(0.7+0.01)*x+2.1*0.01*x^2)=0.7*0.01*(687.6-(3438*0.01+1)*x+(0.7+0.01)*x^2-0.01*0.5*x^3) la ecuación

Solución numérica:

Solución

(0.7+0.01-2.10.01x)(1+34380.01-2(0.7+0.01)x+2.10.01x^2)=0.70.01(687.6-(34380.01+1)x+(0.7+0.01)x^2-0.010.5*x^3) la ecuación