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- La ecuación:
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Ecuación 2x^2-x-1=x^2-5x-(-1-x^2)
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Ecuación x^2+4=5x
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Ecuación x(x^2+2x+1)=6(x+1)
-
Ecuación 4x+1=-3x+15
- Expresar {x} en función de y en la ecuación:
- -6*x-20*y=8
- 13*x-12*y=19
- -9*x+11*y=9
- -4*x-8*y=-20
-
Expresiones idénticas
- sqrt(tres)*cos(tres *x)*cos(x-(dos *pi/ tres))- dos *sin(pi/ tres)= cero
- raíz cuadrada de (3) multiplicar por coseno de (3 multiplicar por x) multiplicar por coseno de (x menos (2 multiplicar por número pi dividir por 3)) menos 2 multiplicar por seno de ( número pi dividir por 3) es igual a 0
- raíz cuadrada de (tres) multiplicar por coseno de (tres multiplicar por x) multiplicar por coseno de (x menos (dos multiplicar por número pi dividir por tres)) menos dos multiplicar por seno de ( número pi dividir por tres) es igual a cero
- √(3)*cos(3*x)*cos(x-(2*pi/3))-2*sin(pi/3)=0
- sqrt(3)cos(3x)cos(x-(2pi/3))-2sin(pi/3)=0
- sqrt3cos3xcosx-2pi/3-2sinpi/3=0
- sqrt(3)*cos(3*x)*cos(x-(2*pi/3))-2*sin(pi/3)=O
- sqrt(3)*cos(3*x)*cos(x-(2*pi dividir por 3))-2*sin(pi dividir por 3)=0
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Expresiones semejantes
- sqrt(3)*cos(3*x)*cos(x+(2*pi/3))-2*sin(pi/3)=0
- sqrt(3)*cos(3*x)*cos(x-(2*pi/3))+2*sin(pi/3)=0
-
Expresiones con funciones
- Raíz cuadrada sqrt
- sqrt(x-1)=x-3
- sqrt(x+6)=x
- sqrt(16-4*x)=2
- sqrt(12-x)=x
- sqrt(5/(15-x))=1
- Coseno cos
- cos(x)=-(4/5)
- cos(x+(pi/6))=-1
- cos(3*x)=1
- cos(x)=-3/2
- cos(x)=1/2
- Coseno cos
- cos(x)=-(4/5)
- cos(x+(pi/6))=-1
- cos(3*x)=1
- cos(x)=-3/2
- cos(x)=1/2
- Seno sin
- sin(x)=pi
- sin(4*x)=0
- sin(x)^2=1
- sin(x)=(1/2)
- sin(x)=0,5
sqrt(3)*cos(3*x)*cos(x-(2*pi/3))-2*sin(pi/3)=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
___ / 2*pi\ /pi\
\/ 3 *cos(3*x)*cos|x - ----| - 2*sin|--| = 0
\ 3 / \3 /
$$\sqrt{3} \cos{\left(3 x \right)} \cos{\left(x - \frac{2 \pi}{3} \right)} - 2 \sin{\left(\frac{\pi}{3} \right)} = 0$$
Respuesta rápida
[src]
-pi
x1 = ----
3
$$x_{1} = - \frac{\pi}{3}$$
2*pi
x2 = ----
3
$$x_{2} = \frac{2 \pi}{3}$$
/ / ___\ \
5*pi | log\7 - 3*\/ 5 / log(2)|
x3 = - ---- + I*|- ---------------- + ------|
6 \ 4 4 /
$$x_{3} = - \frac{5 \pi}{6} + i \left(\frac{\log{\left(2 \right)}}{4} - \frac{\log{\left(7 - 3 \sqrt{5} \right)}}{4}\right)$$
/ / ___\ \
5*pi | log\7 + 3*\/ 5 / log(2)|
x4 = - ---- + I*|- ---------------- + ------|
6 \ 4 4 /
$$x_{4} = - \frac{5 \pi}{6} + i \left(- \frac{\log{\left(3 \sqrt{5} + 7 \right)}}{4} + \frac{\log{\left(2 \right)}}{4}\right)$$
/ 4 ___ \
pi | \/ 2 |
x5 = -- + I*log|----------------|
6 | _____________|
|4 / ___ |
\\/ 7 - 3*\/ 5 /
$$x_{5} = \frac{\pi}{6} + i \log{\left(\frac{\sqrt[4]{2}}{\sqrt[4]{7 - 3 \sqrt{5}}} \right)}$$
/ 4 ___ \
pi | \/ 2 |
x6 = -- + I*log|----------------|
6 | _____________|
|4 / ___ |
\\/ 7 + 3*\/ 5 /
$$x_{6} = \frac{\pi}{6} + i \log{\left(\frac{\sqrt[4]{2}}{\sqrt[4]{3 \sqrt{5} + 7}} \right)}$$
x6 = pi/6 + i*log(2^(1/4)/(3*sqrt(5) + 7)^(1/4))
Suma y producto de raíces
[src]
suma
/ / ___\ \ / / ___\ \ / 4 ___ \ / 4 ___ \
pi 2*pi 5*pi | log\7 - 3*\/ 5 / log(2)| 5*pi | log\7 + 3*\/ 5 / log(2)| pi | \/ 2 | pi | \/ 2 |
- -- + ---- + - ---- + I*|- ---------------- + ------| + - ---- + I*|- ---------------- + ------| + -- + I*log|----------------| + -- + I*log|----------------|
3 3 6 \ 4 4 / 6 \ 4 4 / 6 | _____________| 6 | _____________|
|4 / ___ | |4 / ___ |
\\/ 7 - 3*\/ 5 / \\/ 7 + 3*\/ 5 /
$$\left(\frac{\pi}{6} + i \log{\left(\frac{\sqrt[4]{2}}{\sqrt[4]{3 \sqrt{5} + 7}} \right)}\right) + \left(\left(\left(- \frac{5 \pi}{6} + i \left(- \frac{\log{\left(3 \sqrt{5} + 7 \right)}}{4} + \frac{\log{\left(2 \right)}}{4}\right)\right) + \left(\left(- \frac{\pi}{3} + \frac{2 \pi}{3}\right) + \left(- \frac{5 \pi}{6} + i \left(\frac{\log{\left(2 \right)}}{4} - \frac{\log{\left(7 - 3 \sqrt{5} \right)}}{4}\right)\right)\right)\right) + \left(\frac{\pi}{6} + i \log{\left(\frac{\sqrt[4]{2}}{\sqrt[4]{7 - 3 \sqrt{5}}} \right)}\right)\right)$$
=
/ / ___\ \ / / ___\ \ / 4 ___ \ / 4 ___ \
| log\7 - 3*\/ 5 / log(2)| | log\7 + 3*\/ 5 / log(2)| | \/ 2 | | \/ 2 |
-pi + I*|- ---------------- + ------| + I*|- ---------------- + ------| + I*log|----------------| + I*log|----------------|
\ 4 4 / \ 4 4 / | _____________| | _____________|
|4 / ___ | |4 / ___ |
\\/ 7 - 3*\/ 5 / \\/ 7 + 3*\/ 5 /
$$- \pi + i \left(- \frac{\log{\left(3 \sqrt{5} + 7 \right)}}{4} + \frac{\log{\left(2 \right)}}{4}\right) + i \log{\left(\frac{\sqrt[4]{2}}{\sqrt[4]{3 \sqrt{5} + 7}} \right)} + i \left(\frac{\log{\left(2 \right)}}{4} - \frac{\log{\left(7 - 3 \sqrt{5} \right)}}{4}\right) + i \log{\left(\frac{\sqrt[4]{2}}{\sqrt[4]{7 - 3 \sqrt{5}}} \right)}$$
producto
/ / / ___\ \\ / / / ___\ \\ / / 4 ___ \\ / / 4 ___ \\
-pi 2*pi | 5*pi | log\7 - 3*\/ 5 / log(2)|| | 5*pi | log\7 + 3*\/ 5 / log(2)|| |pi | \/ 2 || |pi | \/ 2 ||
----*----*|- ---- + I*|- ---------------- + ------||*|- ---- + I*|- ---------------- + ------||*|-- + I*log|----------------||*|-- + I*log|----------------||
3 3 \ 6 \ 4 4 // \ 6 \ 4 4 // |6 | _____________|| |6 | _____________||
| |4 / ___ || | |4 / ___ ||
\ \\/ 7 - 3*\/ 5 // \ \\/ 7 + 3*\/ 5 //
$$- \frac{\pi}{3} \frac{2 \pi}{3} \left(- \frac{5 \pi}{6} + i \left(\frac{\log{\left(2 \right)}}{4} - \frac{\log{\left(7 - 3 \sqrt{5} \right)}}{4}\right)\right) \left(- \frac{5 \pi}{6} + i \left(- \frac{\log{\left(3 \sqrt{5} + 7 \right)}}{4} + \frac{\log{\left(2 \right)}}{4}\right)\right) \left(\frac{\pi}{6} + i \log{\left(\frac{\sqrt[4]{2}}{\sqrt[4]{7 - 3 \sqrt{5}}} \right)}\right) \left(\frac{\pi}{6} + i \log{\left(\frac{\sqrt[4]{2}}{\sqrt[4]{3 \sqrt{5} + 7}} \right)}\right)$$
=
/ / / ___\\\ / / / ___\ \\
2 | 3*I*\-log(2) + log\7 - 3*\/ 5 //| | 3*I*\- log\7 + 3*\/ 5 / + log(2)/| / / / ___\ \\ / / / ___\\\
-pi *|pi - --------------------------------|*|pi + ---------------------------------|*\10*pi - 3*I*\- log\7 + 3*\/ 5 / + log(2)//*\10*pi + 3*I*\-log(2) + log\7 - 3*\/ 5 ///
\ 2 / \ 2 /
-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------
23328
$$- \frac{\pi^{2} \left(\pi - \frac{3 i \left(\log{\left(7 - 3 \sqrt{5} \right)} - \log{\left(2 \right)}\right)}{2}\right) \left(\pi + \frac{3 i \left(- \log{\left(3 \sqrt{5} + 7 \right)} + \log{\left(2 \right)}\right)}{2}\right) \left(10 \pi + 3 i \left(\log{\left(7 - 3 \sqrt{5} \right)} - \log{\left(2 \right)}\right)\right) \left(10 \pi - 3 i \left(- \log{\left(3 \sqrt{5} + 7 \right)} + \log{\left(2 \right)}\right)\right)}{23328}$$
-pi^2*(pi - 3*i*(-log(2) + log(7 - 3*sqrt(5)))/2)*(pi + 3*i*(-log(7 + 3*sqrt(5)) + log(2))/2)*(10*pi - 3*i*(-log(7 + 3*sqrt(5)) + log(2)))*(10*pi + 3*i*(-log(2) + log(7 - 3*sqrt(5))))/23328
Respuesta numérica
[src]
x1 = 33.5103217080076
x2 = 30.3687289149186
x3 = -79.5870139801118
x4 = -26.1799388285815
x5 = -92.1533844039012
x6 = -85.8701991879186
x7 = -48.1710872469832
x8 = -51.3126799823713
x9 = -35.604716822474
x10 = 90.058989260729
x11 = -19.8967537467974
x12 = -48268.4767272301
x13 = 39.7935070648556
x14 = 14.6607655249006
x15 = 99.4837673918999
x16 = 68.067840627589
x17 = -13.613568243468
x18 = 222.005880855276
x19 = 8.37758033566263
x20 = 14.6607655940305
x21 = -151.843644922534
x22 = -29.3215315498923
x23 = -70.1622358253571
x24 = -26.1799386687767
x25 = -4.18879009073537
x26 = 83.7758042197919
x27 = 55.5014702713311
x28 = 77.4926188327457
x29 = 52.3598774943011
x30 = -101.578162588816
x31 = 17.8023586459812
x32 = 174.881990926498
x33 = -10.4719755682352
x34 = 80.6342113135979
x35 = -54.4542725592394
x36 = -73.3038286912739
x37 = -98.4365696987464
x38 = -10.471975423248
x39 = -76.4454214215621
x40 = 74.3510260738122
x41 = 11.5191731430674
x42 = -95.2949772607979
x43 = 58.6430627399819
x44 = 46.0766919949492
x45 = -32.4631239907387
x46 = -48.171087170912
x47 = 17.8023584871419
x48 = -57.5958654013554
x49 = -76.4454211286131
x50 = 96.3421746534546
x51 = -4.18879016070987
x52 = 74.3510261498103
x53 = -63.8790502707956
x54 = 36.6519141667786
x55 = -7.33038297821255
x56 = -51.3126801209398
x57 = 61.7846556424059
x57 = 61.7846556424059