Sr Examen
Otras calculadoras
-
¿Cómo usar?
- La ecuación:
-
Ecuación -x+7=0
-
Ecuación x+(x/4)=-5
- Ecuación z^4-81=0
-
Ecuación z^3=8
- Expresar {x} en función de y en la ecuación:
- -18*x-8*y=-18
- -13*x+12*y=-19
- -1*x+11*y=-9
- 16*x-11*y=13
- Gráfico de la función y =:
-
3*cos(2*x)
- Integral de d{x}:
- 3*cos(2*x)
-
Expresiones idénticas
- dos *cos(cuatro *x)- dos *cos(x)^(dos)= tres *cos(dos *x)
- 2 multiplicar por coseno de (4 multiplicar por x) menos 2 multiplicar por coseno de (x) en el grado (2) es igual a 3 multiplicar por coseno de (2 multiplicar por x)
- dos multiplicar por coseno de (cuatro multiplicar por x) menos dos multiplicar por coseno de (x) en el grado (dos) es igual a tres multiplicar por coseno de (dos multiplicar por x)
- 2*cos(4*x)-2*cos(x)(2)=3*cos(2*x)
- 2*cos4*x-2*cosx2=3*cos2*x
- 2cos(4x)-2cos(x)^(2)=3cos(2x)
- 2cos(4x)-2cos(x)(2)=3cos(2x)
- 2cos4x-2cosx2=3cos2x
- 2cos4x-2cosx^2=3cos2x
-
Expresiones semejantes
- 2sin2x+5sinx×cosx+3cos2x=0
- 2*cos(4*x)+2*cos(x)^(2)=3*cos(2*x)
- 3cos2x+2cosx-5=0
- (3cos^2x+7sinx-5)=0
- 3*cos^2(x)-sin(x)-1=0
- 2*cos(4*x)-2*cosx^(2)=3*cos(2*x)
-
Expresiones con funciones
- Coseno cos
- cos(3*x)-cos(7x)=0
- cos(x)+cos(2*x)+cos(3*x)=3
- cos(x)=cos(4)
- cos^2(x)=0.1*e^x
- cos(x)*sin(x)=-1/2
- Coseno cos
- cos(3*x)-cos(7x)=0
- cos(x)+cos(2*x)+cos(3*x)=3
- cos(x)=cos(4)
- cos^2(x)=0.1*e^x
- cos(x)*sin(x)=-1/2
- Coseno cos
- cos(3*x)-cos(7x)=0
- cos(x)+cos(2*x)+cos(3*x)=3
- cos(x)=cos(4)
- cos^2(x)=0.1*e^x
- cos(x)*sin(x)=-1/2
2*cos(4*x)-2*cos(x)^(2)=3*cos(2*x) la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
2 2*cos(4*x) - 2*cos (x) = 3*cos(2*x)
$$- 2 \cos^{2}{\left(x \right)} + 2 \cos{\left(4 x \right)} = 3 \cos{\left(2 x \right)}$$
Respuesta rápida
[src]
-2*pi
x1 = -----
3
$$x_{1} = - \frac{2 \pi}{3}$$
-pi
x2 = ----
3
$$x_{2} = - \frac{\pi}{3}$$
pi
x3 = --
3
$$x_{3} = \frac{\pi}{3}$$
2*pi
x4 = ----
3
$$x_{4} = \frac{2 \pi}{3}$$
/ ___\
| 1 \/ 5 |
x5 = I*log|- - + -----|
\ 2 2 /
$$x_{5} = i \log{\left(- \frac{1}{2} + \frac{\sqrt{5}}{2} \right)}$$
/ ___\
|1 \/ 5 |
x6 = I*log|- + -----|
\2 2 /
$$x_{6} = i \log{\left(\frac{1}{2} + \frac{\sqrt{5}}{2} \right)}$$
/ ___\
| 1 \/ 5 |
x7 = pi + I*log|- - + -----|
\ 2 2 /
$$x_{7} = \pi + i \log{\left(- \frac{1}{2} + \frac{\sqrt{5}}{2} \right)}$$
/ ___\
|1 \/ 5 |
x8 = pi + I*log|- + -----|
\2 2 /
$$x_{8} = \pi + i \log{\left(\frac{1}{2} + \frac{\sqrt{5}}{2} \right)}$$
x8 = pi + i*log(1/2 + sqrt(5)/2)
Suma y producto de raíces
[src]
suma
/ ___\ / ___\ / ___\ / ___\ 2*pi pi pi 2*pi | 1 \/ 5 | |1 \/ 5 | | 1 \/ 5 | |1 \/ 5 | - ---- - -- + -- + ---- + I*log|- - + -----| + I*log|- + -----| + pi + I*log|- - + -----| + pi + I*log|- + -----| 3 3 3 3 \ 2 2 / \2 2 / \ 2 2 / \2 2 /
$$\left(\left(\pi + i \log{\left(- \frac{1}{2} + \frac{\sqrt{5}}{2} \right)}\right) + \left(\left(\left(\left(\left(- \frac{2 \pi}{3} - \frac{\pi}{3}\right) + \frac{\pi}{3}\right) + \frac{2 \pi}{3}\right) + i \log{\left(- \frac{1}{2} + \frac{\sqrt{5}}{2} \right)}\right) + i \log{\left(\frac{1}{2} + \frac{\sqrt{5}}{2} \right)}\right)\right) + \left(\pi + i \log{\left(\frac{1}{2} + \frac{\sqrt{5}}{2} \right)}\right)$$
=
/ ___\ / ___\
|1 \/ 5 | | 1 \/ 5 |
2*pi + 2*I*log|- + -----| + 2*I*log|- - + -----|
\2 2 / \ 2 2 /
$$2 \pi + 2 i \log{\left(- \frac{1}{2} + \frac{\sqrt{5}}{2} \right)} + 2 i \log{\left(\frac{1}{2} + \frac{\sqrt{5}}{2} \right)}$$
producto
/ ___\ / ___\ / / ___\\ / / ___\\ -2*pi -pi pi 2*pi | 1 \/ 5 | |1 \/ 5 | | | 1 \/ 5 || | |1 \/ 5 || -----*----*--*----*I*log|- - + -----|*I*log|- + -----|*|pi + I*log|- - + -----||*|pi + I*log|- + -----|| 3 3 3 3 \ 2 2 / \2 2 / \ \ 2 2 // \ \2 2 //
$$i \log{\left(\frac{1}{2} + \frac{\sqrt{5}}{2} \right)} i \log{\left(- \frac{1}{2} + \frac{\sqrt{5}}{2} \right)} \frac{2 \pi}{3} \frac{\pi}{3} \cdot - \frac{2 \pi}{3} \left(- \frac{\pi}{3}\right) \left(\pi + i \log{\left(- \frac{1}{2} + \frac{\sqrt{5}}{2} \right)}\right) \left(\pi + i \log{\left(\frac{1}{2} + \frac{\sqrt{5}}{2} \right)}\right)$$
=
/ / 4\\
| | 4*pi ||
| | -----||
| | 81 ||
| |/ ___\ ||
| || 1 \/ 5 | ||
| log||- - + -----| ||
| \\ 2 2 / /|
/ / ___\\ / / ___\\ |/ ___\ |
| |1 \/ 5 || | | 1 \/ 5 || ||1 \/ 5 | |
-|pi + I*log|- + -----||*|pi + I*log|- - + -----||*log||- + -----| |
\ \2 2 // \ \ 2 2 // \\2 2 / /
$$- \left(\pi + i \log{\left(- \frac{1}{2} + \frac{\sqrt{5}}{2} \right)}\right) \left(\pi + i \log{\left(\frac{1}{2} + \frac{\sqrt{5}}{2} \right)}\right) \log{\left(\left(\frac{1}{2} + \frac{\sqrt{5}}{2}\right)^{\log{\left(\left(- \frac{1}{2} + \frac{\sqrt{5}}{2}\right)^{\frac{4 \pi^{4}}{81}} \right)}} \right)}$$
-(pi + i*log(1/2 + sqrt(5)/2))*(pi + i*log(-1/2 + sqrt(5)/2))*log((1/2 + sqrt(5)/2)^log((-1/2 + sqrt(5)/2)^(4*pi^4/81)))
Respuesta numérica
[src]
x1 = 98.4365698124802
x2 = -13.6135681655558
x3 = 96.342174710087
x4 = -92.1533845053006
x5 = 79.5870138909414
x6 = -83.7758040957278
x7 = -48.1710873550435
x8 = -57.5958653158129
x9 = -36.6519142918809
x10 = 76.4454212373516
x11 = 73.3038285837618
x12 = -23.0383461263252
x13 = 63.8790506229925
x14 = -24.0855436775217
x15 = -1.0471975511966
x16 = 8.37758040957278
x17 = -2.0943951023932
x18 = 95.2949771588904
x19 = 42.9350995990605
x20 = 41.8879020478639
x21 = -58.6430628670095
x22 = 70.162235930172
x23 = -19.8967534727354
x24 = -39.7935069454707
x25 = -29.3215314335047
x26 = -80.634211442138
x27 = 86.9173967493176
x28 = -41.8879020478639
x29 = -35.6047167406843
x30 = 26.1799387799149
x31 = 39.7935069454707
x32 = 48.1710873550435
x33 = 101.57816246607
x34 = -77.4926187885482
x35 = 7.33038285837618
x36 = 64.9262481741891
x37 = 57.5958653158129
x38 = -68.0678408277789
x39 = 29.3215314335047
x40 = -54.4542726622231
x41 = 52.3598775598299
x42 = 85.870199198121
x43 = -33.5103216382911
x44 = 17.8023583703422
x45 = 92.1533845053006
x46 = -63.8790506229925
x47 = 24.0855436775217
x48 = 2.0943951023932
x49 = -7.33038285837618
x50 = 32.4631240870945
x51 = 14.6607657167524
x52 = 83.7758040957278
x53 = 10.471975511966
x54 = 19.8967534727354
x55 = -90.0589894029074
x56 = -95.2949771588904
x57 = 74.3510261349584
x58 = 54.4542726622231
x59 = 51.3126800086333
x60 = -26.1799387799149
x61 = -61.7846555205993
x62 = 46.0766922526503
x63 = 4.18879020478639
x64 = -46.0766922526503
x65 = -17.8023583703422
x66 = 36.6519142918809
x67 = -99.4837673636768
x68 = 30.3687289847013
x69 = 68.0678408277789
x70 = 61.7846555205993
x71 = -14.6607657167524
x72 = -79.5870138909414
x73 = -55.5014702134197
x74 = -85.870199198121
x75 = 20.943951023932
x76 = -11.5191730631626
x77 = -51.3126800086333
x78 = -30.3687289847013
x79 = 90.0589894029074
x80 = -73.3038285837618
x81 = -4.18879020478639
x82 = -70.162235930172
x82 = -70.162235930172