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- La ecuación:
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Ecuación (x+9)^2=36*x
-
Ecuación a+120=2000/5
-
Ecuación x^2+10*x+16=0
-
Ecuación x^2+4*x-32=0
- Expresar {x} en función de y en la ecuación:
- -6*x-12*y=9
- 9*x-1*y=17
- 10*x-2*y=11
- 12*x-3*y=-2
-
Expresiones idénticas
- exp((x^ dos - trece *x- cuarenta y dos *j)*ln(x^ dos - siete *x- once *j))= uno
- exponente de ((x al cuadrado menos 13 multiplicar por x menos 42 multiplicar por j) multiplicar por ln(x al cuadrado menos 7 multiplicar por x menos 11 multiplicar por j)) es igual a 1
- exponente de ((x en el grado dos menos trece multiplicar por x menos cuarenta y dos multiplicar por j) multiplicar por ln(x en el grado dos menos siete multiplicar por x menos once multiplicar por j)) es igual a uno
- exp((x2-13*x-42*j)*ln(x2-7*x-11*j))=1
- expx2-13*x-42*j*lnx2-7*x-11*j=1
- exp((x²-13*x-42*j)*ln(x²-7*x-11*j))=1
- exp((x en el grado 2-13*x-42*j)*ln(x en el grado 2-7*x-11*j))=1
- exp((x^2-13x-42j)ln(x^2-7x-11j))=1
- exp((x2-13x-42j)ln(x2-7x-11j))=1
- expx2-13x-42jlnx2-7x-11j=1
- expx^2-13x-42jlnx^2-7x-11j=1
-
Expresiones semejantes
- exp((x^2-13*x+42*j)*ln(x^2-7*x-11*j))=1
- exp((x^2+13*x-42*j)*ln(x^2-7*x-11*j))=1
- exp((x^2-13*x-42*j)*ln(x^2+7*x-11*j))=1
- exp((x^2-13*x-42*j)*ln(x^2-7*x+11*j))=1
-
Expresiones con funciones
- Exponente exp
- exp(sinx)=0,5
- exp(0,007094*x)=3,053*10^(14)
- exp(x/2)-(2/(5*x))=0
- exp(-y)=Const-log(x)
- exp(x)-×^2=0
- ln
- ln0.98=x/8.31*(1/2365-1/2333)
- ln(x)+2x=0
- ln(ln(x))=y+c
- ln((x+9)/x)-1=0
- ln(x)=3\4
exp((x^2-13*x-42*j)*ln(x^2-7*x-11*j))=1 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
/ 2 \ / 2 \ \x - 13*x - 42*I/*log\x - 7*x - 11*I/ e = 1
$$e^{\left(\left(x^{2} - 13 x\right) - 42 i\right) \log{\left(\left(x^{2} - 7 x\right) - 11 i \right)}} = 1$$
Gráfica
Respuesta rápida
[src]
/ /44\\ / /44\\
|atan|--|| |atan|--||
4 ______ | \53/| 4 ______ | \53/|
\/ 4745 *cos|--------| I*\/ 4745 *sin|--------|
7 \ 2 / \ 2 /
x1 = - - ---------------------- - ------------------------
2 2 2
$$x_{1} = - \frac{\sqrt[4]{4745} \cos{\left(\frac{\operatorname{atan}{\left(\frac{44}{53} \right)}}{2} \right)}}{2} + \frac{7}{2} - \frac{\sqrt[4]{4745} i \sin{\left(\frac{\operatorname{atan}{\left(\frac{44}{53} \right)}}{2} \right)}}{2}$$
/ /44\\ / /44\\
|atan|--|| |atan|--||
4 ______ | \53/| 4 ______ | \53/|
\/ 4745 *cos|--------| I*\/ 4745 *sin|--------|
7 \ 2 / \ 2 /
x2 = - + ---------------------- + ------------------------
2 2 2
$$x_{2} = \frac{7}{2} + \frac{\sqrt[4]{4745} \cos{\left(\frac{\operatorname{atan}{\left(\frac{44}{53} \right)}}{2} \right)}}{2} + \frac{\sqrt[4]{4745} i \sin{\left(\frac{\operatorname{atan}{\left(\frac{44}{53} \right)}}{2} \right)}}{2}$$
/ /168\\ / /168\\
|atan|---|| |atan|---||
4 _______ | \169/| 4 _______ | \169/|
\/ 56785 *cos|---------| I*\/ 56785 *sin|---------|
13 \ 2 / \ 2 /
x3 = -- - ------------------------ - --------------------------
2 2 2
$$x_{3} = - \frac{\sqrt[4]{56785} \cos{\left(\frac{\operatorname{atan}{\left(\frac{168}{169} \right)}}{2} \right)}}{2} + \frac{13}{2} - \frac{\sqrt[4]{56785} i \sin{\left(\frac{\operatorname{atan}{\left(\frac{168}{169} \right)}}{2} \right)}}{2}$$
/ /168\\ / /168\\
|atan|---|| |atan|---||
4 _______ | \169/| 4 _______ | \169/|
\/ 56785 *cos|---------| I*\/ 56785 *sin|---------|
13 \ 2 / \ 2 /
x4 = -- + ------------------------ + --------------------------
2 2 2
$$x_{4} = \frac{13}{2} + \frac{\sqrt[4]{56785} \cos{\left(\frac{\operatorname{atan}{\left(\frac{168}{169} \right)}}{2} \right)}}{2} + \frac{\sqrt[4]{56785} i \sin{\left(\frac{\operatorname{atan}{\left(\frac{168}{169} \right)}}{2} \right)}}{2}$$
x4 = 13/2 + 56785^(1/4)*cos(atan(168/169)/2)/2 + 56785^(1/4)*i*sin(atan(168/169)/2)/2
Suma y producto de raíces
[src]
suma
/ /44\\ / /44\\ / /44\\ / /44\\ / /168\\ / /168\\ / /168\\ / /168\\
|atan|--|| |atan|--|| |atan|--|| |atan|--|| |atan|---|| |atan|---|| |atan|---|| |atan|---||
4 ______ | \53/| 4 ______ | \53/| 4 ______ | \53/| 4 ______ | \53/| 4 _______ | \169/| 4 _______ | \169/| 4 _______ | \169/| 4 _______ | \169/|
\/ 4745 *cos|--------| I*\/ 4745 *sin|--------| \/ 4745 *cos|--------| I*\/ 4745 *sin|--------| \/ 56785 *cos|---------| I*\/ 56785 *sin|---------| \/ 56785 *cos|---------| I*\/ 56785 *sin|---------|
7 \ 2 / \ 2 / 7 \ 2 / \ 2 / 13 \ 2 / \ 2 / 13 \ 2 / \ 2 /
- - ---------------------- - ------------------------ + - + ---------------------- + ------------------------ + -- - ------------------------ - -------------------------- + -- + ------------------------ + --------------------------
2 2 2 2 2 2 2 2 2 2 2 2
$$\left(\left(- \frac{\sqrt[4]{56785} \cos{\left(\frac{\operatorname{atan}{\left(\frac{168}{169} \right)}}{2} \right)}}{2} + \frac{13}{2} - \frac{\sqrt[4]{56785} i \sin{\left(\frac{\operatorname{atan}{\left(\frac{168}{169} \right)}}{2} \right)}}{2}\right) + \left(\left(- \frac{\sqrt[4]{4745} \cos{\left(\frac{\operatorname{atan}{\left(\frac{44}{53} \right)}}{2} \right)}}{2} + \frac{7}{2} - \frac{\sqrt[4]{4745} i \sin{\left(\frac{\operatorname{atan}{\left(\frac{44}{53} \right)}}{2} \right)}}{2}\right) + \left(\frac{7}{2} + \frac{\sqrt[4]{4745} \cos{\left(\frac{\operatorname{atan}{\left(\frac{44}{53} \right)}}{2} \right)}}{2} + \frac{\sqrt[4]{4745} i \sin{\left(\frac{\operatorname{atan}{\left(\frac{44}{53} \right)}}{2} \right)}}{2}\right)\right)\right) + \left(\frac{13}{2} + \frac{\sqrt[4]{56785} \cos{\left(\frac{\operatorname{atan}{\left(\frac{168}{169} \right)}}{2} \right)}}{2} + \frac{\sqrt[4]{56785} i \sin{\left(\frac{\operatorname{atan}{\left(\frac{168}{169} \right)}}{2} \right)}}{2}\right)$$
=
20
$$20$$
producto
/ / /44\\ / /44\\\ / / /44\\ / /44\\\ / / /168\\ / /168\\\ / / /168\\ / /168\\\ | |atan|--|| |atan|--||| | |atan|--|| |atan|--||| | |atan|---|| |atan|---||| | |atan|---|| |atan|---||| | 4 ______ | \53/| 4 ______ | \53/|| | 4 ______ | \53/| 4 ______ | \53/|| | 4 _______ | \169/| 4 _______ | \169/|| | 4 _______ | \169/| 4 _______ | \169/|| | \/ 4745 *cos|--------| I*\/ 4745 *sin|--------|| | \/ 4745 *cos|--------| I*\/ 4745 *sin|--------|| | \/ 56785 *cos|---------| I*\/ 56785 *sin|---------|| | \/ 56785 *cos|---------| I*\/ 56785 *sin|---------|| |7 \ 2 / \ 2 /| |7 \ 2 / \ 2 /| |13 \ 2 / \ 2 /| |13 \ 2 / \ 2 /| |- - ---------------------- - ------------------------|*|- + ---------------------- + ------------------------|*|-- - ------------------------ - --------------------------|*|-- + ------------------------ + --------------------------| \2 2 2 / \2 2 2 / \2 2 2 / \2 2 2 /
$$\left(\frac{7}{2} + \frac{\sqrt[4]{4745} \cos{\left(\frac{\operatorname{atan}{\left(\frac{44}{53} \right)}}{2} \right)}}{2} + \frac{\sqrt[4]{4745} i \sin{\left(\frac{\operatorname{atan}{\left(\frac{44}{53} \right)}}{2} \right)}}{2}\right) \left(- \frac{\sqrt[4]{4745} \cos{\left(\frac{\operatorname{atan}{\left(\frac{44}{53} \right)}}{2} \right)}}{2} + \frac{7}{2} - \frac{\sqrt[4]{4745} i \sin{\left(\frac{\operatorname{atan}{\left(\frac{44}{53} \right)}}{2} \right)}}{2}\right) \left(- \frac{\sqrt[4]{56785} \cos{\left(\frac{\operatorname{atan}{\left(\frac{168}{169} \right)}}{2} \right)}}{2} + \frac{13}{2} - \frac{\sqrt[4]{56785} i \sin{\left(\frac{\operatorname{atan}{\left(\frac{168}{169} \right)}}{2} \right)}}{2}\right) \left(\frac{13}{2} + \frac{\sqrt[4]{56785} \cos{\left(\frac{\operatorname{atan}{\left(\frac{168}{169} \right)}}{2} \right)}}{2} + \frac{\sqrt[4]{56785} i \sin{\left(\frac{\operatorname{atan}{\left(\frac{168}{169} \right)}}{2} \right)}}{2}\right)$$
=
-462 + 42*I
$$-462 + 42 i$$
-462 + 42*i