Sr Examen
Otras calculadoras
-
¿Cómo usar?
- La ecuación:
-
Ecuación (x+9)^2=36*x
-
Ecuación a+120=2000/5
-
Ecuación (|x|)=6
-
Ecuación 6*x=12
- 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
- x^ dos /(2x- uno)^-4x/2x- uno + tres = cero
- x al cuadrado dividir por (2x menos 1) en el grado menos 4x dividir por 2x menos 1 más 3 es igual a 0
- x en el grado dos dividir por (2x menos uno) en el grado menos 4x dividir por 2x menos uno más tres es igual a cero
- x2/(2x-1)-4x/2x-1+3=0
- x2/2x-1-4x/2x-1+3=0
- x²/(2x-1)^-4x/2x-1+3=0
- x en el grado 2/(2x-1) en el grado -4x/2x-1+3=0
- x^2/2x-1^-4x/2x-1+3=0
- x^2/(2x-1)^-4x/2x-1+3=O
- x^2 dividir por (2x-1)^-4x dividir por 2x-1+3=0
-
Expresiones semejantes
- x^2/(2x-1)^-4x/2x+1+3=0
- x^2/(2x+1)^-4x/2x-1+3=0
- x^2/(2x-1)^+4x/2x-1+3=0
- x^2/(2x-1)^-4x/2x-1-3=0
x^2/(2x-1)^-4x/2x-1+3=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
2
x
------------*x
/ 1 \
|----------|
| 4|
\(2*x - 1) /
--------------*x - 1 + 3 = 0
2
$$\left(x \frac{x \frac{x^{2}}{\frac{1}{\left(2 x - 1\right)^{4}}}}{2} - 1\right) + 3 = 0$$
Respuesta rápida
[src]
4 _____ /atan(8/7)\ 4 _____ /atan(8/7)\
\/ 113 *sin|---------| I*\/ 113 *cos|---------|
1 \ 2 / \ 2 /
x1 = - - ---------------------- + ------------------------
4 4 4
$$x_{1} = - \frac{\sqrt[4]{113} \sin{\left(\frac{\operatorname{atan}{\left(\frac{8}{7} \right)}}{2} \right)}}{4} + \frac{1}{4} + \frac{\sqrt[4]{113} i \cos{\left(\frac{\operatorname{atan}{\left(\frac{8}{7} \right)}}{2} \right)}}{4}$$
4 _____ /atan(8/7)\ 4 _____ /atan(8/7)\
\/ 113 *sin|---------| I*\/ 113 *cos|---------|
1 \ 2 / \ 2 /
x2 = - + ---------------------- - ------------------------
4 4 4
$$x_{2} = \frac{1}{4} + \frac{\sqrt[4]{113} \sin{\left(\frac{\operatorname{atan}{\left(\frac{8}{7} \right)}}{2} \right)}}{4} - \frac{\sqrt[4]{113} i \cos{\left(\frac{\operatorname{atan}{\left(\frac{8}{7} \right)}}{2} \right)}}{4}$$
4 _____ /atan(8/7)\ 4 _____ /atan(8/7)\
\/ 113 *sin|---------| I*\/ 113 *cos|---------|
1 \ 2 / \ 2 /
x3 = - - ---------------------- - ------------------------
4 4 4
$$x_{3} = - \frac{\sqrt[4]{113} \sin{\left(\frac{\operatorname{atan}{\left(\frac{8}{7} \right)}}{2} \right)}}{4} + \frac{1}{4} - \frac{\sqrt[4]{113} i \cos{\left(\frac{\operatorname{atan}{\left(\frac{8}{7} \right)}}{2} \right)}}{4}$$
4 _____ /atan(8/7)\ 4 _____ /atan(8/7)\
\/ 113 *sin|---------| I*\/ 113 *cos|---------|
1 \ 2 / \ 2 /
x4 = - + ---------------------- + ------------------------
4 4 4
$$x_{4} = \frac{1}{4} + \frac{\sqrt[4]{113} \sin{\left(\frac{\operatorname{atan}{\left(\frac{8}{7} \right)}}{2} \right)}}{4} + \frac{\sqrt[4]{113} i \cos{\left(\frac{\operatorname{atan}{\left(\frac{8}{7} \right)}}{2} \right)}}{4}$$
4 _____ /atan(8/9)\ 4 _____ /atan(8/9)\
\/ 145 *cos|---------| I*\/ 145 *sin|---------|
1 \ 2 / \ 2 /
x5 = - - ---------------------- + ------------------------
4 4 4
$$x_{5} = - \frac{\sqrt[4]{145} \cos{\left(\frac{\operatorname{atan}{\left(\frac{8}{9} \right)}}{2} \right)}}{4} + \frac{1}{4} + \frac{\sqrt[4]{145} i \sin{\left(\frac{\operatorname{atan}{\left(\frac{8}{9} \right)}}{2} \right)}}{4}$$
4 _____ /atan(8/9)\ 4 _____ /atan(8/9)\
\/ 145 *cos|---------| I*\/ 145 *sin|---------|
1 \ 2 / \ 2 /
x6 = - + ---------------------- - ------------------------
4 4 4
$$x_{6} = \frac{1}{4} + \frac{\sqrt[4]{145} \cos{\left(\frac{\operatorname{atan}{\left(\frac{8}{9} \right)}}{2} \right)}}{4} - \frac{\sqrt[4]{145} i \sin{\left(\frac{\operatorname{atan}{\left(\frac{8}{9} \right)}}{2} \right)}}{4}$$
4 _____ /atan(8/9)\ 4 _____ /atan(8/9)\
\/ 145 *cos|---------| I*\/ 145 *sin|---------|
1 \ 2 / \ 2 /
x7 = - - ---------------------- - ------------------------
4 4 4
$$x_{7} = - \frac{\sqrt[4]{145} \cos{\left(\frac{\operatorname{atan}{\left(\frac{8}{9} \right)}}{2} \right)}}{4} + \frac{1}{4} - \frac{\sqrt[4]{145} i \sin{\left(\frac{\operatorname{atan}{\left(\frac{8}{9} \right)}}{2} \right)}}{4}$$
4 _____ /atan(8/9)\ 4 _____ /atan(8/9)\
\/ 145 *cos|---------| I*\/ 145 *sin|---------|
1 \ 2 / \ 2 /
x8 = - + ---------------------- + ------------------------
4 4 4
$$x_{8} = \frac{1}{4} + \frac{\sqrt[4]{145} \cos{\left(\frac{\operatorname{atan}{\left(\frac{8}{9} \right)}}{2} \right)}}{4} + \frac{\sqrt[4]{145} i \sin{\left(\frac{\operatorname{atan}{\left(\frac{8}{9} \right)}}{2} \right)}}{4}$$
x8 = 1/4 + 145^(1/4)*cos(atan(8/9)/2)/4 + 145^(1/4)*i*sin(atan(8/9)/2)/4
Suma y producto de raíces
[src]
suma
4 _____ /atan(8/7)\ 4 _____ /atan(8/7)\ 4 _____ /atan(8/7)\ 4 _____ /atan(8/7)\ 4 _____ /atan(8/7)\ 4 _____ /atan(8/7)\ 4 _____ /atan(8/7)\ 4 _____ /atan(8/7)\ 4 _____ /atan(8/9)\ 4 _____ /atan(8/9)\ 4 _____ /atan(8/9)\ 4 _____ /atan(8/9)\ 4 _____ /atan(8/9)\ 4 _____ /atan(8/9)\ 4 _____ /atan(8/9)\ 4 _____ /atan(8/9)\
\/ 113 *sin|---------| I*\/ 113 *cos|---------| \/ 113 *sin|---------| I*\/ 113 *cos|---------| \/ 113 *sin|---------| I*\/ 113 *cos|---------| \/ 113 *sin|---------| I*\/ 113 *cos|---------| \/ 145 *cos|---------| I*\/ 145 *sin|---------| \/ 145 *cos|---------| I*\/ 145 *sin|---------| \/ 145 *cos|---------| I*\/ 145 *sin|---------| \/ 145 *cos|---------| I*\/ 145 *sin|---------|
1 \ 2 / \ 2 / 1 \ 2 / \ 2 / 1 \ 2 / \ 2 / 1 \ 2 / \ 2 / 1 \ 2 / \ 2 / 1 \ 2 / \ 2 / 1 \ 2 / \ 2 / 1 \ 2 / \ 2 /
- - ---------------------- + ------------------------ + - + ---------------------- - ------------------------ + - - ---------------------- - ------------------------ + - + ---------------------- + ------------------------ + - - ---------------------- + ------------------------ + - + ---------------------- - ------------------------ + - - ---------------------- - ------------------------ + - + ---------------------- + ------------------------
4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
$$\left(\left(- \frac{\sqrt[4]{145} \cos{\left(\frac{\operatorname{atan}{\left(\frac{8}{9} \right)}}{2} \right)}}{4} + \frac{1}{4} - \frac{\sqrt[4]{145} i \sin{\left(\frac{\operatorname{atan}{\left(\frac{8}{9} \right)}}{2} \right)}}{4}\right) + \left(\left(\frac{1}{4} + \frac{\sqrt[4]{145} \cos{\left(\frac{\operatorname{atan}{\left(\frac{8}{9} \right)}}{2} \right)}}{4} - \frac{\sqrt[4]{145} i \sin{\left(\frac{\operatorname{atan}{\left(\frac{8}{9} \right)}}{2} \right)}}{4}\right) + \left(\left(\left(\left(- \frac{\sqrt[4]{113} \sin{\left(\frac{\operatorname{atan}{\left(\frac{8}{7} \right)}}{2} \right)}}{4} + \frac{1}{4} - \frac{\sqrt[4]{113} i \cos{\left(\frac{\operatorname{atan}{\left(\frac{8}{7} \right)}}{2} \right)}}{4}\right) + \left(\left(\frac{1}{4} + \frac{\sqrt[4]{113} \sin{\left(\frac{\operatorname{atan}{\left(\frac{8}{7} \right)}}{2} \right)}}{4} - \frac{\sqrt[4]{113} i \cos{\left(\frac{\operatorname{atan}{\left(\frac{8}{7} \right)}}{2} \right)}}{4}\right) + \left(- \frac{\sqrt[4]{113} \sin{\left(\frac{\operatorname{atan}{\left(\frac{8}{7} \right)}}{2} \right)}}{4} + \frac{1}{4} + \frac{\sqrt[4]{113} i \cos{\left(\frac{\operatorname{atan}{\left(\frac{8}{7} \right)}}{2} \right)}}{4}\right)\right)\right) + \left(\frac{1}{4} + \frac{\sqrt[4]{113} \sin{\left(\frac{\operatorname{atan}{\left(\frac{8}{7} \right)}}{2} \right)}}{4} + \frac{\sqrt[4]{113} i \cos{\left(\frac{\operatorname{atan}{\left(\frac{8}{7} \right)}}{2} \right)}}{4}\right)\right) + \left(- \frac{\sqrt[4]{145} \cos{\left(\frac{\operatorname{atan}{\left(\frac{8}{9} \right)}}{2} \right)}}{4} + \frac{1}{4} + \frac{\sqrt[4]{145} i \sin{\left(\frac{\operatorname{atan}{\left(\frac{8}{9} \right)}}{2} \right)}}{4}\right)\right)\right)\right) + \left(\frac{1}{4} + \frac{\sqrt[4]{145} \cos{\left(\frac{\operatorname{atan}{\left(\frac{8}{9} \right)}}{2} \right)}}{4} + \frac{\sqrt[4]{145} i \sin{\left(\frac{\operatorname{atan}{\left(\frac{8}{9} \right)}}{2} \right)}}{4}\right)$$
=
2
$$2$$
producto
/ 4 _____ /atan(8/7)\ 4 _____ /atan(8/7)\\ / 4 _____ /atan(8/7)\ 4 _____ /atan(8/7)\\ / 4 _____ /atan(8/7)\ 4 _____ /atan(8/7)\\ / 4 _____ /atan(8/7)\ 4 _____ /atan(8/7)\\ / 4 _____ /atan(8/9)\ 4 _____ /atan(8/9)\\ / 4 _____ /atan(8/9)\ 4 _____ /atan(8/9)\\ / 4 _____ /atan(8/9)\ 4 _____ /atan(8/9)\\ / 4 _____ /atan(8/9)\ 4 _____ /atan(8/9)\\ | \/ 113 *sin|---------| I*\/ 113 *cos|---------|| | \/ 113 *sin|---------| I*\/ 113 *cos|---------|| | \/ 113 *sin|---------| I*\/ 113 *cos|---------|| | \/ 113 *sin|---------| I*\/ 113 *cos|---------|| | \/ 145 *cos|---------| I*\/ 145 *sin|---------|| | \/ 145 *cos|---------| I*\/ 145 *sin|---------|| | \/ 145 *cos|---------| I*\/ 145 *sin|---------|| | \/ 145 *cos|---------| I*\/ 145 *sin|---------|| |1 \ 2 / \ 2 /| |1 \ 2 / \ 2 /| |1 \ 2 / \ 2 /| |1 \ 2 / \ 2 /| |1 \ 2 / \ 2 /| |1 \ 2 / \ 2 /| |1 \ 2 / \ 2 /| |1 \ 2 / \ 2 /| |- - ---------------------- + ------------------------|*|- + ---------------------- - ------------------------|*|- - ---------------------- - ------------------------|*|- + ---------------------- + ------------------------|*|- - ---------------------- + ------------------------|*|- + ---------------------- - ------------------------|*|- - ---------------------- - ------------------------|*|- + ---------------------- + ------------------------| \4 4 4 / \4 4 4 / \4 4 4 / \4 4 4 / \4 4 4 / \4 4 4 / \4 4 4 / \4 4 4 /
$$\left(\frac{1}{4} + \frac{\sqrt[4]{113} \sin{\left(\frac{\operatorname{atan}{\left(\frac{8}{7} \right)}}{2} \right)}}{4} - \frac{\sqrt[4]{113} i \cos{\left(\frac{\operatorname{atan}{\left(\frac{8}{7} \right)}}{2} \right)}}{4}\right) \left(- \frac{\sqrt[4]{113} \sin{\left(\frac{\operatorname{atan}{\left(\frac{8}{7} \right)}}{2} \right)}}{4} + \frac{1}{4} + \frac{\sqrt[4]{113} i \cos{\left(\frac{\operatorname{atan}{\left(\frac{8}{7} \right)}}{2} \right)}}{4}\right) \left(- \frac{\sqrt[4]{113} \sin{\left(\frac{\operatorname{atan}{\left(\frac{8}{7} \right)}}{2} \right)}}{4} + \frac{1}{4} - \frac{\sqrt[4]{113} i \cos{\left(\frac{\operatorname{atan}{\left(\frac{8}{7} \right)}}{2} \right)}}{4}\right) \left(\frac{1}{4} + \frac{\sqrt[4]{113} \sin{\left(\frac{\operatorname{atan}{\left(\frac{8}{7} \right)}}{2} \right)}}{4} + \frac{\sqrt[4]{113} i \cos{\left(\frac{\operatorname{atan}{\left(\frac{8}{7} \right)}}{2} \right)}}{4}\right) \left(- \frac{\sqrt[4]{145} \cos{\left(\frac{\operatorname{atan}{\left(\frac{8}{9} \right)}}{2} \right)}}{4} + \frac{1}{4} + \frac{\sqrt[4]{145} i \sin{\left(\frac{\operatorname{atan}{\left(\frac{8}{9} \right)}}{2} \right)}}{4}\right) \left(\frac{1}{4} + \frac{\sqrt[4]{145} \cos{\left(\frac{\operatorname{atan}{\left(\frac{8}{9} \right)}}{2} \right)}}{4} - \frac{\sqrt[4]{145} i \sin{\left(\frac{\operatorname{atan}{\left(\frac{8}{9} \right)}}{2} \right)}}{4}\right) \left(- \frac{\sqrt[4]{145} \cos{\left(\frac{\operatorname{atan}{\left(\frac{8}{9} \right)}}{2} \right)}}{4} + \frac{1}{4} - \frac{\sqrt[4]{145} i \sin{\left(\frac{\operatorname{atan}{\left(\frac{8}{9} \right)}}{2} \right)}}{4}\right) \left(\frac{1}{4} + \frac{\sqrt[4]{145} \cos{\left(\frac{\operatorname{atan}{\left(\frac{8}{9} \right)}}{2} \right)}}{4} + \frac{\sqrt[4]{145} i \sin{\left(\frac{\operatorname{atan}{\left(\frac{8}{9} \right)}}{2} \right)}}{4}\right)$$
=
1/4
$$\frac{1}{4}$$
1/4
Respuesta numérica
[src]
x1 = 0.586811604087445 - 0.742254711435339*i
x2 = 0.586811604087445 + 0.742254711435339*i
x3 = -0.086811604087445 - 0.742254711435339*i
x4 = -0.560894463285611 + 0.308301525437775*i
x5 = -0.560894463285611 - 0.308301525437775*i
x6 = 1.06089446328561 - 0.308301525437775*i
x7 = 1.06089446328561 + 0.308301525437775*i
x8 = -0.086811604087445 + 0.742254711435339*i
x8 = -0.086811604087445 + 0.742254711435339*i