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- La ecuación:
-
Ecuación -x=3
-
Ecuación 2^x=5
- Ecuación x^4-35*x^2-36=0
-
Ecuación x(x^2+2x+1)=6(x+1)
- Expresar {x} en función de y en la ecuación:
- -11*x-3*y=14
- 2*x-15*y=-1
- 8*x+3*y=4
- 6*x+9*y=-9
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Expresiones idénticas
- dos *cos^ tres (x)+sqrt(tres)*cos^ dos (x)+ dos *cos(x)+sqrt(tres)= cero
- 2 multiplicar por coseno de al cubo (x) más raíz cuadrada de (3) multiplicar por coseno de al cuadrado (x) más 2 multiplicar por coseno de (x) más raíz cuadrada de (3) es igual a 0
- dos multiplicar por coseno de en el grado tres (x) más raíz cuadrada de (tres) multiplicar por coseno de en el grado dos (x) más dos multiplicar por coseno de (x) más raíz cuadrada de (tres) es igual a cero
- 2*cos^3(x)+√(3)*cos^2(x)+2*cos(x)+√(3)=0
- 2*cos3(x)+sqrt(3)*cos2(x)+2*cos(x)+sqrt(3)=0
- 2*cos3x+sqrt3*cos2x+2*cosx+sqrt3=0
- 2*cos³(x)+sqrt(3)*cos²(x)+2*cos(x)+sqrt(3)=0
- 2*cos en el grado 3(x)+sqrt(3)*cos en el grado 2(x)+2*cos(x)+sqrt(3)=0
- 2cos^3(x)+sqrt(3)cos^2(x)+2cos(x)+sqrt(3)=0
- 2cos3(x)+sqrt(3)cos2(x)+2cos(x)+sqrt(3)=0
- 2cos3x+sqrt3cos2x+2cosx+sqrt3=0
- 2cos^3x+sqrt3cos^2x+2cosx+sqrt3=0
- 2*cos^3(x)+sqrt(3)*cos^2(x)+2*cos(x)+sqrt(3)=O
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Expresiones semejantes
- 2*cos^3(x)-sqrt(3)*cos^2(x)+2*cos(x)+sqrt(3)=0
- 2*cos^3(x)+sqrt(3)*cos^2(x)+2*cos(x)-sqrt(3)=0
- 2*cos^3(x)+sqrt(3)*cos^2(x)-2*cos(x)+sqrt(3)=0
- 2*cos^3(x)+sqrt(3)*cos^2(x)+2*cosx+sqrt(3)=0
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Expresiones con funciones
- Coseno cos
- cos(3*x-pi/4)=-1
- cos(x)=-(2/5)
- cos(2*x)=sin(x+pi/2)
- cos(2*x)=-1/2
- cos(x)=√3
- Raíz cuadrada sqrt
- sqrt(x-1)+3=x
- sqrt(x^2+9)=2*x-3
- sqrt(x)-x=-12
- sqrt(x^2-14x+49)+sqrt(14-2x)+x=9
- sqrt(56-x)=-x
- Coseno cos
- cos(3*x-pi/4)=-1
- cos(x)=-(2/5)
- cos(2*x)=sin(x+pi/2)
- cos(2*x)=-1/2
- cos(x)=√3
- Coseno cos
- cos(3*x-pi/4)=-1
- cos(x)=-(2/5)
- cos(2*x)=sin(x+pi/2)
- cos(2*x)=-1/2
- cos(x)=√3
- Raíz cuadrada sqrt
- sqrt(x-1)+3=x
- sqrt(x^2+9)=2*x-3
- sqrt(x)-x=-12
- sqrt(x^2-14x+49)+sqrt(14-2x)+x=9
- sqrt(56-x)=-x
2*cos^3(x)+sqrt(3)*cos^2(x)+2*cos(x)+sqrt(3)=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
3 ___ 2 ___ 2*cos (x) + \/ 3 *cos (x) + 2*cos(x) + \/ 3 = 0
$$\left(\left(2 \cos^{3}{\left(x \right)} + \sqrt{3} \cos^{2}{\left(x \right)}\right) + 2 \cos{\left(x \right)}\right) + \sqrt{3} = 0$$
Respuesta rápida
[src]
5*pi
x1 = ----
6
$$x_{1} = \frac{5 \pi}{6}$$
7*pi
x2 = ----
6
$$x_{2} = \frac{7 \pi}{6}$$
pi / ___\
x3 = -- - I*log\1 + \/ 2 /
2
$$x_{3} = \frac{\pi}{2} - i \log{\left(1 + \sqrt{2} \right)}$$
pi / ___\
x4 = -- + I*log\1 + \/ 2 /
2
$$x_{4} = \frac{\pi}{2} + i \log{\left(1 + \sqrt{2} \right)}$$
3*pi / ___\
x5 = ---- - I*log\1 + \/ 2 /
2
$$x_{5} = \frac{3 \pi}{2} - i \log{\left(1 + \sqrt{2} \right)}$$
3*pi / ___\
x6 = ---- + I*log\1 + \/ 2 /
2
$$x_{6} = \frac{3 \pi}{2} + i \log{\left(1 + \sqrt{2} \right)}$$
x6 = 3*pi/2 + i*log(1 + sqrt(2))
Suma y producto de raíces
[src]
suma
5*pi 7*pi pi / ___\ pi / ___\ 3*pi / ___\ 3*pi / ___\ ---- + ---- + -- - I*log\1 + \/ 2 / + -- + I*log\1 + \/ 2 / + ---- - I*log\1 + \/ 2 / + ---- + I*log\1 + \/ 2 / 6 6 2 2 2 2
$$\left(\left(\frac{3 \pi}{2} - i \log{\left(1 + \sqrt{2} \right)}\right) + \left(\left(\left(\frac{5 \pi}{6} + \frac{7 \pi}{6}\right) + \left(\frac{\pi}{2} - i \log{\left(1 + \sqrt{2} \right)}\right)\right) + \left(\frac{\pi}{2} + i \log{\left(1 + \sqrt{2} \right)}\right)\right)\right) + \left(\frac{3 \pi}{2} + i \log{\left(1 + \sqrt{2} \right)}\right)$$
=
6*pi
$$6 \pi$$
producto
5*pi 7*pi /pi / ___\\ /pi / ___\\ /3*pi / ___\\ /3*pi / ___\\ ----*----*|-- - I*log\1 + \/ 2 /|*|-- + I*log\1 + \/ 2 /|*|---- - I*log\1 + \/ 2 /|*|---- + I*log\1 + \/ 2 /| 6 6 \2 / \2 / \ 2 / \ 2 /
$$\frac{5 \pi}{6} \frac{7 \pi}{6} \left(\frac{\pi}{2} - i \log{\left(1 + \sqrt{2} \right)}\right) \left(\frac{\pi}{2} + i \log{\left(1 + \sqrt{2} \right)}\right) \left(\frac{3 \pi}{2} - i \log{\left(1 + \sqrt{2} \right)}\right) \left(\frac{3 \pi}{2} + i \log{\left(1 + \sqrt{2} \right)}\right)$$
=
2 / 4 4/ ___\ 2 2/ ___\\
35*pi *\9*pi + 16*log \1 + \/ 2 / + 40*pi *log \1 + \/ 2 //
------------------------------------------------------------
576
$$\frac{35 \pi^{2} \left(16 \log{\left(1 + \sqrt{2} \right)}^{4} + 40 \pi^{2} \log{\left(1 + \sqrt{2} \right)}^{2} + 9 \pi^{4}\right)}{576}$$
35*pi^2*(9*pi^4 + 16*log(1 + sqrt(2))^4 + 40*pi^2*log(1 + sqrt(2))^2)/576
Respuesta numérica
[src]
x1 = 324.107642095347
x2 = 8.90117918517108
x3 = 60.2138591938044
x4 = 90.5825881785057
x5 = 71.733032256967
x6 = -60.2138591938044
x7 = -7284.82976489913
x8 = -1228.88632632921
x9 = -78.0162175641465
x10 = -8.90117918517108
x11 = -96.8657734856853
x12 = 91.6297857297023
x13 = 53.9306738866248
x14 = -72.7802298081635
x15 = -71.733032256967
x16 = 16.2315620435473
x17 = -40.317105721069
x18 = -21.4675497995303
x19 = 41.3643032722656
x20 = -9.94837673636768
x21 = -91.6297857297023
x22 = -97.9129710368819
x23 = 78.0162175641465
x24 = -16.2315620435473
x25 = 84.2994028713261
x26 = -15.1843644923507
x27 = 72.7802298081635
x28 = -22.5147473507269
x29 = 15.1843644923507
x30 = 22.5147473507269
x31 = 46.6002910282486
x32 = 79.0634151153431
x33 = -35.081117965086
x34 = -52.8834763354282
x35 = 40.317105721069
x36 = -34.0339204138894
x37 = 34.0339204138894
x38 = -3.66519142918809
x39 = -59.1666616426078
x40 = -46.6002910282486
x41 = 3.66519142918809
x42 = -27.7507351067098
x43 = 59.1666616426078
x44 = -65.4498469497874
x45 = 2.61799387799149
x46 = 35.081117965086
x47 = -47.6474885794452
x48 = 66.497044500984
x49 = -41.3643032722656
x50 = 65.4498469497874
x51 = -66.497044500984
x52 = 97.9129710368819
x53 = -90.5825881785057
x54 = 52.8834763354282
x55 = 85.3466004225227
x56 = 9.94837673636768
x57 = -28.7979326579064
x58 = 28.7979326579064
x59 = -79.0634151153431
x60 = 96.8657734856853
x61 = -84.2994028713261
x62 = -85.3466004225227
x63 = 21.4675497995303
x64 = -2.61799387799149
x65 = 27.7507351067098
x66 = 47.6474885794452
x67 = -53.9306738866248
x67 = -53.9306738866248