Sr Examen
Otras calculadoras
-
¿Cómo usar?
- La ecuación:
-
Ecuación x^3+3x^2-x-3=0
-
Ecuación (x+9)^2=36*x
-
Ecuación x^3-6x^2+11x-6=0
-
Ecuación a+120=2000/5
- 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
- sin^ tres (x)+sin(x)=sqrt(tres)*cos^ tres (x)-2sqrt(tres)*cos(x)
- seno de al cubo (x) más seno de (x) es igual a raíz cuadrada de (3) multiplicar por coseno de al cubo (x) menos 2 raíz cuadrada de (3) multiplicar por coseno de (x)
- seno de en el grado tres (x) más seno de (x) es igual a raíz cuadrada de (tres) multiplicar por coseno de en el grado tres (x) menos 2 raíz cuadrada de (tres) multiplicar por coseno de (x)
- sin^3(x)+sin(x)=√(3)*cos^3(x)-2√(3)*cos(x)
- sin3(x)+sin(x)=sqrt(3)*cos3(x)-2sqrt(3)*cos(x)
- sin3x+sinx=sqrt3*cos3x-2sqrt3*cosx
- sin³(x)+sin(x)=sqrt(3)*cos³(x)-2sqrt(3)*cos(x)
- sin en el grado 3(x)+sin(x)=sqrt(3)*cos en el grado 3(x)-2sqrt(3)*cos(x)
- sin^3(x)+sin(x)=sqrt(3)cos^3(x)-2sqrt(3)cos(x)
- sin3(x)+sin(x)=sqrt(3)cos3(x)-2sqrt(3)cos(x)
- sin3x+sinx=sqrt3cos3x-2sqrt3cosx
- sin^3x+sinx=sqrt3cos^3x-2sqrt3cosx
-
Expresiones semejantes
- sin^3(x)+sin(x)=sqrt(3)*cos^3(x)+2sqrt(3)*cos(x)
- sin^3(x)-sin(x)=sqrt(3)*cos^3(x)-2sqrt(3)*cos(x)
- sin^3(x)+sinx=sqrt(3)*cos^3(x)-2sqrt(3)*cosx
-
Expresiones con funciones
- Seno sin
- sin(x)=1.5
- sin(sin(x))=1
- sin(x)=-0.5
- sin(-x)=1/2
- sin(x)=4/3
- Seno sin
- sin(x)=1.5
- sin(sin(x))=1
- sin(x)=-0.5
- sin(-x)=1/2
- sin(x)=4/3
- Raíz cuadrada sqrt
- sqrt(1-x)=sqrt[3](x-2)
- sqrt(x)^1=0
- sqrt(x-2)+sqrt(x+6)=2
- sqrt(x-2)+sqrt(4-x)=x^2-6*x+11
- sqrt(5x+1)=sqrt(x+5)
- Coseno cos
- cos(x)+sin(3x)=0
- cos(x)=2*x
- cos(x)-e^(-x)+x-1=0
- cos^2x+cos^22*x-cos^23*x-cos^24*x=0
- cos(m/3+x)=1/2
- Coseno cos
- cos(x)+sin(3x)=0
- cos(x)=2*x
- cos(x)-e^(-x)+x-1=0
- cos^2x+cos^22*x-cos^23*x-cos^24*x=0
- cos(m/3+x)=1/2
sin^3(x)+sin(x)=sqrt(3)*cos^3(x)-2sqrt(3)*cos(x) la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
3 ___ 3 ___ sin (x) + sin(x) = \/ 3 *cos (x) - 2*\/ 3 *cos(x)
$$\sin^{3}{\left(x \right)} + \sin{\left(x \right)} = \sqrt{3} \cos^{3}{\left(x \right)} - 2 \sqrt{3} \cos{\left(x \right)}$$
Suma y producto de raíces
[src]
suma
/ / _____________\\ / / _____________\\ / / _____________\\ / / _____________\\ / _____________\ / _____________\ pi 2*pi | | / ___ || | | / ___ || | | / ___ || | | / ___ || | / ___ | | / ___ | - -- + ---- + 2*im\atanh\\/ 3 + 2*\/ 2 // - 2*I*re\atanh\\/ 3 + 2*\/ 2 // + - 2*im\atanh\\/ 3 + 2*\/ 2 // + 2*I*re\atanh\\/ 3 + 2*\/ 2 // - 2*I*atanh\\/ 3 - 2*\/ 2 / + 2*I*atanh\\/ 3 - 2*\/ 2 / 3 3
$$\left(- 2 i \operatorname{atanh}{\left(\sqrt{3 - 2 \sqrt{2}} \right)} + \left(\left(\left(- \frac{\pi}{3} + \frac{2 \pi}{3}\right) + \left(2 \operatorname{im}{\left(\operatorname{atanh}{\left(\sqrt{2 \sqrt{2} + 3} \right)}\right)} - 2 i \operatorname{re}{\left(\operatorname{atanh}{\left(\sqrt{2 \sqrt{2} + 3} \right)}\right)}\right)\right) + \left(- 2 \operatorname{im}{\left(\operatorname{atanh}{\left(\sqrt{2 \sqrt{2} + 3} \right)}\right)} + 2 i \operatorname{re}{\left(\operatorname{atanh}{\left(\sqrt{2 \sqrt{2} + 3} \right)}\right)}\right)\right)\right) + 2 i \operatorname{atanh}{\left(\sqrt{3 - 2 \sqrt{2}} \right)}$$
=
pi -- 3
$$\frac{\pi}{3}$$
producto
/ / / _____________\\ / / _____________\\\ / / / _____________\\ / / _____________\\\ / _____________\ / _____________\ -pi 2*pi | | | / ___ || | | / ___ ||| | | | / ___ || | | / ___ ||| | / ___ | | / ___ | ----*----*\2*im\atanh\\/ 3 + 2*\/ 2 // - 2*I*re\atanh\\/ 3 + 2*\/ 2 ///*\- 2*im\atanh\\/ 3 + 2*\/ 2 // + 2*I*re\atanh\\/ 3 + 2*\/ 2 ///*-2*I*atanh\\/ 3 - 2*\/ 2 /*2*I*atanh\\/ 3 - 2*\/ 2 / 3 3
$$2 i \operatorname{atanh}{\left(\sqrt{3 - 2 \sqrt{2}} \right)} - 2 i \operatorname{atanh}{\left(\sqrt{3 - 2 \sqrt{2}} \right)} - \frac{\pi}{3} \frac{2 \pi}{3} \left(2 \operatorname{im}{\left(\operatorname{atanh}{\left(\sqrt{2 \sqrt{2} + 3} \right)}\right)} - 2 i \operatorname{re}{\left(\operatorname{atanh}{\left(\sqrt{2 \sqrt{2} + 3} \right)}\right)}\right) \left(- 2 \operatorname{im}{\left(\operatorname{atanh}{\left(\sqrt{2 \sqrt{2} + 3} \right)}\right)} + 2 i \operatorname{re}{\left(\operatorname{atanh}{\left(\sqrt{2 \sqrt{2} + 3} \right)}\right)}\right)$$
=
2
/ / / _____________\\ / / _____________\\\ / _____________\
2 | | | / ___ || | | / ___ ||| 2| / ___ |
32*pi *\- I*re\atanh\\/ 3 + 2*\/ 2 // + im\atanh\\/ 3 + 2*\/ 2 /// *atanh \\/ 3 - 2*\/ 2 /
------------------------------------------------------------------------------------------------
9
$$\frac{32 \pi^{2} \left(\operatorname{im}{\left(\operatorname{atanh}{\left(\sqrt{2 \sqrt{2} + 3} \right)}\right)} - i \operatorname{re}{\left(\operatorname{atanh}{\left(\sqrt{2 \sqrt{2} + 3} \right)}\right)}\right)^{2} \operatorname{atanh}^{2}{\left(\sqrt{3 - 2 \sqrt{2}} \right)}}{9}$$
32*pi^2*(-i*re(atanh(sqrt(3 + 2*sqrt(2)))) + im(atanh(sqrt(3 + 2*sqrt(2)))))^2*atanh(sqrt(3 - 2*sqrt(2)))^2/9
Respuesta rápida
[src]
-pi
x1 = ----
3
$$x_{1} = - \frac{\pi}{3}$$
2*pi
x2 = ----
3
$$x_{2} = \frac{2 \pi}{3}$$
/ / _____________\\ / / _____________\\
| | / ___ || | | / ___ ||
x3 = 2*im\atanh\\/ 3 + 2*\/ 2 // - 2*I*re\atanh\\/ 3 + 2*\/ 2 //
$$x_{3} = 2 \operatorname{im}{\left(\operatorname{atanh}{\left(\sqrt{2 \sqrt{2} + 3} \right)}\right)} - 2 i \operatorname{re}{\left(\operatorname{atanh}{\left(\sqrt{2 \sqrt{2} + 3} \right)}\right)}$$
/ / _____________\\ / / _____________\\
| | / ___ || | | / ___ ||
x4 = - 2*im\atanh\\/ 3 + 2*\/ 2 // + 2*I*re\atanh\\/ 3 + 2*\/ 2 //
$$x_{4} = - 2 \operatorname{im}{\left(\operatorname{atanh}{\left(\sqrt{2 \sqrt{2} + 3} \right)}\right)} + 2 i \operatorname{re}{\left(\operatorname{atanh}{\left(\sqrt{2 \sqrt{2} + 3} \right)}\right)}$$
/ _____________\
| / ___ |
x5 = -2*I*atanh\\/ 3 - 2*\/ 2 /
$$x_{5} = - 2 i \operatorname{atanh}{\left(\sqrt{3 - 2 \sqrt{2}} \right)}$$
/ _____________\
| / ___ |
x6 = 2*I*atanh\\/ 3 - 2*\/ 2 /
$$x_{6} = 2 i \operatorname{atanh}{\left(\sqrt{3 - 2 \sqrt{2}} \right)}$$
x6 = 2*i*atanh(sqrt(3 - 2*sqrt(2)))
Respuesta numérica
[src]
x1 = 64.9262481741891
x2 = -41.8879020478639
x3 = -51.3126800086333
x4 = 99.4837673636768
x5 = -92.1533845053006
x6 = 74.3510261349584
x7 = 80.634211442138
x8 = 93.2005820564972
x9 = -54.4542726622231
x10 = -23.0383461263252
x11 = -85.870199198121
x12 = -29.3215314335047
x13 = -4.18879020478639
x14 = 20.943951023932
x15 = -57.5958653158129
x16 = 2.0943951023932
x17 = -32.4631240870945
x18 = 77.4926187885482
x19 = -38.7463093942741
x20 = 90.0589894029074
x21 = 190.589954317781
x22 = -16.7551608191456
x23 = -117.286125734019
x24 = -60.7374579694027
x25 = 39.7935069454707
x26 = -10.471975511966
x27 = 24.0855436775217
x28 = 55.5014702134197
x29 = 11.5191730631626
x30 = -101.57816246607
x31 = 68.0678408277789
x32 = -35.6047167406843
x33 = -79.5870138909414
x34 = 14.6607657167524
x35 = 58.6430628670095
x36 = -63.8790506229925
x37 = -98.4365698124802
x38 = 52.3598775598299
x39 = 8.37758040957278
x40 = -13.6135681655558
x41 = -89.0117918517108
x42 = 33.5103216382911
x43 = 86.9173967493176
x44 = 598.996999284454
x45 = 71.2094334813686
x46 = -95.2949771588904
x47 = 83.7758040957278
x48 = -1031.48958792865
x49 = -45.0294947014537
x50 = 96.342174710087
x51 = -19.8967534727354
x52 = -82.7286065445312
x53 = -73.3038285837618
x54 = -1.0471975511966
x55 = 61.7846555205993
x56 = -76.4454212373516
x57 = 42.9350995990605
x58 = -48.1710873550435
x59 = 17.8023583703422
x60 = 118.333323285216
x61 = -26.1799387799149
x62 = -67.0206432765823
x63 = -70.162235930172
x64 = 30.3687289847013
x65 = 46.0766922526503
x66 = 36.6519142918809
x67 = 27.2271363311115
x68 = 49.2182849062401
x69 = -7.33038285837618
x70 = 5.23598775598299
x70 = 5.23598775598299