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Ecuación x/4+13=x+1
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Ecuación 5(x-2)^2=-6x-44
- Expresar {x} en función de y en la ecuación:
- -2*x+14*y=9
- -6*x-20*y=8
- 2*x-8*y=4
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Expresiones idénticas
- sin(x)^(dos)- cuatro *sin(x)*cos(x)+ tres *cos(x)= cero
- seno de (x) en el grado (2) menos 4 multiplicar por seno de (x) multiplicar por coseno de (x) más 3 multiplicar por coseno de (x) es igual a 0
- seno de (x) en el grado (dos) menos cuatro multiplicar por seno de (x) multiplicar por coseno de (x) más tres multiplicar por coseno de (x) es igual a cero
- sin(x)(2)-4*sin(x)*cos(x)+3*cos(x)=0
- sinx2-4*sinx*cosx+3*cosx=0
- sin(x)^(2)-4sin(x)cos(x)+3cos(x)=0
- sin(x)(2)-4sin(x)cos(x)+3cos(x)=0
- sinx2-4sinxcosx+3cosx=0
- sinx^2-4sinxcosx+3cosx=0
- sin(x)^(2)-4*sin(x)*cos(x)+3*cos(x)=O
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Expresiones semejantes
- sin(x)^(2)-4*sin(x)*cos(x)-3*cos(x)=0
- sin(x)^(2)+4*sin(x)*cos(x)+3*cos(x)=0
- sinx^(2)-4*sinx*cosx+3*cosx=0
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Expresiones con funciones
- Seno sin
- sin(x)=pi
- sin(x)=a
- sin(3*x)=-1
- sin(x)=1/3
- sin(4*x)=0
- Seno sin
- sin(x)=pi
- sin(x)=a
- sin(3*x)=-1
- sin(x)=1/3
- sin(4*x)=0
- Coseno cos
- cos(x)=x^2+1
- cos(3*x-pi/4)=-1
- cos(x)=-8
- cos(x)=-(2/5)
- cos(x+pi/3)=0
- Coseno cos
- cos(x)=x^2+1
- cos(3*x-pi/4)=-1
- cos(x)=-8
- cos(x)=-(2/5)
- cos(x+pi/3)=0
sin(x)^(2)-4*sin(x)*cos(x)+3*cos(x)=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
2 sin (x) - 4*sin(x)*cos(x) + 3*cos(x) = 0
$$\left(\sin^{2}{\left(x \right)} - 4 \sin{\left(x \right)} \cos{\left(x \right)}\right) + 3 \cos{\left(x \right)} = 0$$
Respuesta rápida
[src]
/ ______________________________________________________________________________________________________________________ \
| / ___________________ ___ |
| ___ / 3 / ______ 25 20*\/ 2 |
| \/ 2 * / 24 - \/ -314 + 3*\/ 9219 - ---------------------- - ------------------------------------------------------------- |
| / ___________________ ______________________________________________________ |
| / 3 / ______ / ___________________ |
| / \/ -314 + 3*\/ 9219 / 3 / ______ 25 |
| / / 12 + \/ -314 + 3*\/ 9219 + ---------------------- ________________________________________________________________________|
| / / ___________________ / __________________ 2/3 |
| / / 3 / ______ ___ / 2/3 3 / ______ 3 ____ / ______\ |
| 2 \/ \/ \/ -314 + 3*\/ 9219 \/ 2 *\/ - 25*(-1) + 12*\/ 314 - 3*\/ 9219 + \/ -1 *\314 - 3*\/ 9219 / |
x1 = -2*atan|- - + --------------------------------------------------------------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------|
| 3 6 __________________ |
| 6 / ______ |
\ 6*\/ 314 - 3*\/ 9219 /
$$x_{1} = - 2 \operatorname{atan}{\left(- \frac{2}{3} + \frac{\sqrt{2} \sqrt{12 \sqrt[3]{314 - 3 \sqrt{9219}} - 25 \left(-1\right)^{\frac{2}{3}} + \sqrt[3]{-1} \left(314 - 3 \sqrt{9219}\right)^{\frac{2}{3}}}}{6 \sqrt[6]{314 - 3 \sqrt{9219}}} + \frac{\sqrt{2} \sqrt{24 - \sqrt[3]{-314 + 3 \sqrt{9219}} - \frac{20 \sqrt{2}}{\sqrt{12 + \frac{25}{\sqrt[3]{-314 + 3 \sqrt{9219}}} + \sqrt[3]{-314 + 3 \sqrt{9219}}}} - \frac{25}{\sqrt[3]{-314 + 3 \sqrt{9219}}}}}{6} \right)}$$
/ / ______________________________________________________________________________________________________________________ \\ / / ______________________________________________________________________________________________________________________ \\
| | / ___________________ ___ || | | / ___________________ ___ ||
| | ___ / 3 / ______ 25 20*\/ 2 || | | ___ / 3 / ______ 25 20*\/ 2 ||
| | \/ 2 * / 24 - \/ -314 + 3*\/ 9219 - ---------------------- - ------------------------------------------------------------- || | | \/ 2 * / 24 - \/ -314 + 3*\/ 9219 - ---------------------- - ------------------------------------------------------------- ||
| | / ___________________ ______________________________________________________ || | | / ___________________ ______________________________________________________ ||
| | / 3 / ______ / ___________________ || | | / 3 / ______ / ___________________ ||
| | / \/ -314 + 3*\/ 9219 / 3 / ______ 25 || | | / \/ -314 + 3*\/ 9219 / 3 / ______ 25 ||
| | / / 12 + \/ -314 + 3*\/ 9219 + ---------------------- ________________________________________________________________________|| | | / / 12 + \/ -314 + 3*\/ 9219 + ---------------------- ________________________________________________________________________||
| | / / ___________________ / __________________ 2/3 || | | / / ___________________ / __________________ 2/3 ||
| | / / 3 / ______ ___ / 2/3 3 / ______ 3 ____ / ______\ || | | / / 3 / ______ ___ / 2/3 3 / ______ 3 ____ / ______\ ||
| |2 \/ \/ \/ -314 + 3*\/ 9219 \/ 2 *\/ - 25*(-1) + 12*\/ 314 - 3*\/ 9219 + \/ -1 *\314 - 3*\/ 9219 / || | |2 \/ \/ \/ -314 + 3*\/ 9219 \/ 2 *\/ - 25*(-1) + 12*\/ 314 - 3*\/ 9219 + \/ -1 *\314 - 3*\/ 9219 / ||
x2 = 2*re|atan|- + --------------------------------------------------------------------------------------------------------------------------------------- - ----------------------------------------------------------------------------------|| + 2*I*im|atan|- + --------------------------------------------------------------------------------------------------------------------------------------- - ----------------------------------------------------------------------------------||
| |3 6 __________________ || | |3 6 __________________ ||
| | 6 / ______ || | | 6 / ______ ||
\ \ 6*\/ 314 - 3*\/ 9219 // \ \ 6*\/ 314 - 3*\/ 9219 //
$$x_{2} = 2 \operatorname{re}{\left(\operatorname{atan}{\left(\frac{2}{3} - \frac{\sqrt{2} \sqrt{12 \sqrt[3]{314 - 3 \sqrt{9219}} - 25 \left(-1\right)^{\frac{2}{3}} + \sqrt[3]{-1} \left(314 - 3 \sqrt{9219}\right)^{\frac{2}{3}}}}{6 \sqrt[6]{314 - 3 \sqrt{9219}}} + \frac{\sqrt{2} \sqrt{24 - \sqrt[3]{-314 + 3 \sqrt{9219}} - \frac{20 \sqrt{2}}{\sqrt{12 + \frac{25}{\sqrt[3]{-314 + 3 \sqrt{9219}}} + \sqrt[3]{-314 + 3 \sqrt{9219}}}} - \frac{25}{\sqrt[3]{-314 + 3 \sqrt{9219}}}}}{6} \right)}\right)} + 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{2}{3} - \frac{\sqrt{2} \sqrt{12 \sqrt[3]{314 - 3 \sqrt{9219}} - 25 \left(-1\right)^{\frac{2}{3}} + \sqrt[3]{-1} \left(314 - 3 \sqrt{9219}\right)^{\frac{2}{3}}}}{6 \sqrt[6]{314 - 3 \sqrt{9219}}} + \frac{\sqrt{2} \sqrt{24 - \sqrt[3]{-314 + 3 \sqrt{9219}} - \frac{20 \sqrt{2}}{\sqrt{12 + \frac{25}{\sqrt[3]{-314 + 3 \sqrt{9219}}} + \sqrt[3]{-314 + 3 \sqrt{9219}}}} - \frac{25}{\sqrt[3]{-314 + 3 \sqrt{9219}}}}}{6} \right)}\right)}$$
/ _____________________________________________________________________________________________________________________________________________________\
| / __________________ |
| / __________________ 2/3 ___ / ______ |
| ___ / 3 / ______ 2/3 3 ____ / ______\ 20*\/ 2 *\/ 314 - 3*\/ 9219 |
| \/ 2 * / 24*\/ 314 - 3*\/ 9219 + 25*(-1) - \/ -1 *\314 - 3*\/ 9219 / + ---------------------------------------------------------------------------- |
| ________________________________________________________________________ / ________________________________________________________________________ |
| / __________________ 2/3 / / __________________ 2/3 |
| ___ / 2/3 3 / ______ 3 ____ / ______\ / / 2/3 3 / ______ 3 ____ / ______\ |
|2 \/ 2 *\/ - 25*(-1) + 12*\/ 314 - 3*\/ 9219 + \/ -1 *\314 - 3*\/ 9219 / \/ \/ - 25*(-1) + 12*\/ 314 - 3*\/ 9219 + \/ -1 *\314 - 3*\/ 9219 / |
x3 = 2*atan|- + ---------------------------------------------------------------------------------- + --------------------------------------------------------------------------------------------------------------------------------------------------------------------|
|3 __________________ __________________ |
| 6 / ______ 6 / ______ |
\ 6*\/ 314 - 3*\/ 9219 6*\/ 314 - 3*\/ 9219 /
$$x_{3} = 2 \operatorname{atan}{\left(\frac{2}{3} + \frac{\sqrt{2} \sqrt{12 \sqrt[3]{314 - 3 \sqrt{9219}} - 25 \left(-1\right)^{\frac{2}{3}} + \sqrt[3]{-1} \left(314 - 3 \sqrt{9219}\right)^{\frac{2}{3}}}}{6 \sqrt[6]{314 - 3 \sqrt{9219}}} + \frac{\sqrt{2} \sqrt{24 \sqrt[3]{314 - 3 \sqrt{9219}} - \sqrt[3]{-1} \left(314 - 3 \sqrt{9219}\right)^{\frac{2}{3}} + \frac{20 \sqrt{2} \sqrt{314 - 3 \sqrt{9219}}}{\sqrt{12 \sqrt[3]{314 - 3 \sqrt{9219}} - 25 \left(-1\right)^{\frac{2}{3}} + \sqrt[3]{-1} \left(314 - 3 \sqrt{9219}\right)^{\frac{2}{3}}}} + 25 \left(-1\right)^{\frac{2}{3}}}}{6 \sqrt[6]{314 - 3 \sqrt{9219}}} \right)}$$
/ / _____________________________________________________________________________________________________________________________________________________ \\ / / _____________________________________________________________________________________________________________________________________________________ \\
| | / __________________ || | | / __________________ ||
| | / __________________ 2/3 ___ / ______ || | | / __________________ 2/3 ___ / ______ ||
| | ___ / 3 / ______ 2/3 3 ____ / ______\ 20*\/ 2 *\/ 314 - 3*\/ 9219 || | | ___ / 3 / ______ 2/3 3 ____ / ______\ 20*\/ 2 *\/ 314 - 3*\/ 9219 ||
| | \/ 2 * / 24*\/ 314 - 3*\/ 9219 + 25*(-1) - \/ -1 *\314 - 3*\/ 9219 / + ---------------------------------------------------------------------------- || | | \/ 2 * / 24*\/ 314 - 3*\/ 9219 + 25*(-1) - \/ -1 *\314 - 3*\/ 9219 / + ---------------------------------------------------------------------------- ||
| | / ________________________________________________________________________ ________________________________________________________________________|| | | / ________________________________________________________________________ ________________________________________________________________________||
| | / / __________________ 2/3 / __________________ 2/3 || | | / / __________________ 2/3 / __________________ 2/3 ||
| | / / 2/3 3 / ______ 3 ____ / ______\ ___ / 2/3 3 / ______ 3 ____ / ______\ || | | / / 2/3 3 / ______ 3 ____ / ______\ ___ / 2/3 3 / ______ 3 ____ / ______\ ||
| |2 \/ \/ - 25*(-1) + 12*\/ 314 - 3*\/ 9219 + \/ -1 *\314 - 3*\/ 9219 / \/ 2 *\/ - 25*(-1) + 12*\/ 314 - 3*\/ 9219 + \/ -1 *\314 - 3*\/ 9219 / || | |2 \/ \/ - 25*(-1) + 12*\/ 314 - 3*\/ 9219 + \/ -1 *\314 - 3*\/ 9219 / \/ 2 *\/ - 25*(-1) + 12*\/ 314 - 3*\/ 9219 + \/ -1 *\314 - 3*\/ 9219 / ||
x4 = 2*re|atan|- - -------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------|| + 2*I*im|atan|- - -------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------||
| |3 __________________ __________________ || | |3 __________________ __________________ ||
| | 6 / ______ 6 / ______ || | | 6 / ______ 6 / ______ ||
\ \ 6*\/ 314 - 3*\/ 9219 6*\/ 314 - 3*\/ 9219 // \ \ 6*\/ 314 - 3*\/ 9219 6*\/ 314 - 3*\/ 9219 //
$$x_{4} = 2 \operatorname{re}{\left(\operatorname{atan}{\left(\frac{2}{3} - \frac{\sqrt{2} \sqrt{24 \sqrt[3]{314 - 3 \sqrt{9219}} - \sqrt[3]{-1} \left(314 - 3 \sqrt{9219}\right)^{\frac{2}{3}} + \frac{20 \sqrt{2} \sqrt{314 - 3 \sqrt{9219}}}{\sqrt{12 \sqrt[3]{314 - 3 \sqrt{9219}} - 25 \left(-1\right)^{\frac{2}{3}} + \sqrt[3]{-1} \left(314 - 3 \sqrt{9219}\right)^{\frac{2}{3}}}} + 25 \left(-1\right)^{\frac{2}{3}}}}{6 \sqrt[6]{314 - 3 \sqrt{9219}}} + \frac{\sqrt{2} \sqrt{12 \sqrt[3]{314 - 3 \sqrt{9219}} - 25 \left(-1\right)^{\frac{2}{3}} + \sqrt[3]{-1} \left(314 - 3 \sqrt{9219}\right)^{\frac{2}{3}}}}{6 \sqrt[6]{314 - 3 \sqrt{9219}}} \right)}\right)} + 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{2}{3} - \frac{\sqrt{2} \sqrt{24 \sqrt[3]{314 - 3 \sqrt{9219}} - \sqrt[3]{-1} \left(314 - 3 \sqrt{9219}\right)^{\frac{2}{3}} + \frac{20 \sqrt{2} \sqrt{314 - 3 \sqrt{9219}}}{\sqrt{12 \sqrt[3]{314 - 3 \sqrt{9219}} - 25 \left(-1\right)^{\frac{2}{3}} + \sqrt[3]{-1} \left(314 - 3 \sqrt{9219}\right)^{\frac{2}{3}}}} + 25 \left(-1\right)^{\frac{2}{3}}}}{6 \sqrt[6]{314 - 3 \sqrt{9219}}} + \frac{\sqrt{2} \sqrt{12 \sqrt[3]{314 - 3 \sqrt{9219}} - 25 \left(-1\right)^{\frac{2}{3}} + \sqrt[3]{-1} \left(314 - 3 \sqrt{9219}\right)^{\frac{2}{3}}}}{6 \sqrt[6]{314 - 3 \sqrt{9219}}} \right)}\right)}$$
x4 = 2*re(atan(2/3 - sqrt(2)*sqrt(24*(314 - 3*sqrt(9219))^(1/3) - (-1)^(1/3)*(314 - 3*sqrt(9219))^(2/3) + 20*sqrt(2)*sqrt(314 - 3*sqrt(9219))/sqrt(12*(314 - 3*sqrt(9219))^(1/3) - 25*(-1)^(2/3) + (-1)^(1/3)*(314 - 3*sqrt(9219))^(2/3)) + 25*(-1)^(2/3))/(6*(314 - 3*sqrt(9219))^(1/6)) + sqrt(2)*sqrt(12*(314 - 3*sqrt(9219))^(1/3) - 25*(-1)^(2/3) + (-1)^(1/3)*(314 - 3*sqrt(9219))^(2/3))/(6*(314 - 3*sqrt(9219))^(1/6)))) + 2*i*im(atan(2/3 - sqrt(2)*sqrt(24*(314 - 3*sqrt(9219))^(1/3) - (-1)^(1/3)*(314 - 3*sqrt(9219))^(2/3) + 20*sqrt(2)*sqrt(314 - 3*sqrt(9219))/sqrt(12*(314 - 3*sqrt(9219))^(1/3) - 25*(-1)^(2/3) + (-1)^(1/3)*(314 - 3*sqrt(9219))^(2/3)) + 25*(-1)^(2/3))/(6*(314 - 3*sqrt(9219))^(1/6)) + sqrt(2)*sqrt(12*(314 - 3*sqrt(9219))^(1/3) - 25*(-1)^(2/3) + (-1)^(1/3)*(314 - 3*sqrt(9219))^(2/3))/(6*(314 - 3*sqrt(9219))^(1/6))))
Respuesta numérica
[src]
x1 = 33.8824715604119
x2 = 96.7143246322078
x3 = -66.6484933544615
x4 = 59.0152127891303
x5 = -1.71209196730273
x6 = -58.260759731919
x7 = -148.329902347796
x8 = -16.3830108970248
x9 = 29.7038345685952
x10 = 52.7320274819507
x11 = -41.5157521257431
x12 = -22.6661962042043
x13 = -33.1280185032007
x14 = 84.1479540178486
x15 = 419.26132361373
x16 = -91.7812345831798
x17 = -47.7989374329227
x18 = -83.3935009606374
x19 = 35.9870198757748
x20 = 10.8542786470564
x21 = -70.8271303462782
x22 = -10.0998255898452
x23 = -64.5439450390986
x24 = 79.9693170260319
x25 = -85.4980492760002
x26 = 19725.3852242612
x27 = 71.5815834034895
x28 = 523.97092552042
x29 = 46.4488421747711
x30 = -39.4112038103802
x31 = 15.0329156388732
x32 = -20.5616478888415
x33 = -45.6943891175598
x34 = 23.4206492614156
x35 = -89.6766862678169
x36 = -7.99527727448231
x37 = 90.4311393250282
x38 = 86.2525023332115
x39 = -95.9598715749965
x40 = 48.553390490134
x41 = 73.6861317188523
x42 = 65.2983980963099
x43 = 92.5356876403911
x44 = -60.3653080472819
x45 = -72.931678661641
x46 = -51.9775744247394
x47 = -77.1103156534578
x48 = 54.8365757973136
x49 = 40.1656568675915
x50 = 2.466545024514
x51 = 98.8188729475707
x52 = -3.81664028266558
x53 = 4.57109333987686
x54 = -98.0644198903594
x55 = 21.3161009460528
x56 = -209.057207104229
x57 = 27.5992862532323
x58 = 42.2702051829544
x59 = 77.864768710669
x60 = 67.4029464116727
x61 = -54.0821227401023
x62 = -28.9493815113839
x63 = -14.2784625816619
x63 = -14.2784625816619