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- La ecuación:
-
Ecuación x^2-4x+5=0
-
Ecuación x^2+3x+2=0
-
Ecuación -25-x=-17
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Ecuación x^2+3x=4
- Expresar {x} en función de y en la ecuación:
- 10*x-2*y=0
- 1*x+4*y=20
- 3*x-7*y=13
- 13*x-15*y=-6
-
Expresiones idénticas
- sin(x)^ tres + tres *sin(x)^ dos *cos(x)-sin(x)*cos(x)^ dos - tres *cos(x)^ tres = cero
- seno de (x) al cubo más 3 multiplicar por seno de (x) al cuadrado multiplicar por coseno de (x) menos seno de (x) multiplicar por coseno de (x) al cuadrado menos 3 multiplicar por coseno de (x) al cubo es igual a 0
- seno de (x) en el grado tres más tres multiplicar por seno de (x) en el grado dos multiplicar por coseno de (x) menos seno de (x) multiplicar por coseno de (x) en el grado dos menos tres multiplicar por coseno de (x) en el grado tres es igual a cero
- sin(x)3+3*sin(x)2*cos(x)-sin(x)*cos(x)2-3*cos(x)3=0
- sinx3+3*sinx2*cosx-sinx*cosx2-3*cosx3=0
- sin(x)³+3*sin(x)²*cos(x)-sin(x)*cos(x)²-3*cos(x)³=0
- sin(x) en el grado 3+3*sin(x) en el grado 2*cos(x)-sin(x)*cos(x) en el grado 2-3*cos(x) en el grado 3=0
- sin(x)^3+3sin(x)^2cos(x)-sin(x)cos(x)^2-3cos(x)^3=0
- sin(x)3+3sin(x)2cos(x)-sin(x)cos(x)2-3cos(x)3=0
- sinx3+3sinx2cosx-sinxcosx2-3cosx3=0
- sinx^3+3sinx^2cosx-sinxcosx^2-3cosx^3=0
- sin(x)^3+3*sin(x)^2*cos(x)-sin(x)*cos(x)^2-3*cos(x)^3=O
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Expresiones semejantes
- sin(x)^3+3*sin(x)^2*cos(x)+sin(x)*cos(x)^2-3*cos(x)^3=0
- sin(x)^3-3*sin(x)^2*cos(x)-sin(x)*cos(x)^2-3*cos(x)^3=0
- sin(x)^3+3*sin(x)^2*cos(x)-sin(x)*cos(x)^2+3*cos(x)^3=0
- sinx^3+3*sinx^2*cosx-sinx*cosx^2-3*cosx^3=0
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Expresiones con funciones
- Seno sin
- sin^24𝑥−sin4𝑥−2=0
- sin(x)=-1/5
- sin(3*x)=1
- sin=-1
- sin(2*x)=1
- Seno sin
- sin^24𝑥−sin4𝑥−2=0
- sin(x)=-1/5
- sin(3*x)=1
- sin=-1
- sin(2*x)=1
- Coseno cos
- cos(x)=sqrt(3)
- cos(a-b)+sin(-a)sinb
- cos(x)=-sqrt3/2
- cos(pi(x-4)/3)=1/2
- cos(x)-sin(x)=1
- Seno sin
- sin^24𝑥−sin4𝑥−2=0
- sin(x)=-1/5
- sin(3*x)=1
- sin=-1
- sin(2*x)=1
- Coseno cos
- cos(x)=sqrt(3)
- cos(a-b)+sin(-a)sinb
- cos(x)=-sqrt3/2
- cos(pi(x-4)/3)=1/2
- cos(x)-sin(x)=1
- Coseno cos
- cos(x)=sqrt(3)
- cos(a-b)+sin(-a)sinb
- cos(x)=-sqrt3/2
- cos(pi(x-4)/3)=1/2
- cos(x)-sin(x)=1
sin(x)^3+3*sin(x)^2*cos(x)-sin(x)*cos(x)^2-3*cos(x)^3=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
3 2 2 3 sin (x) + 3*sin (x)*cos(x) - sin(x)*cos (x) - 3*cos (x) = 0
$$\left(\left(\sin^{3}{\left(x \right)} + 3 \sin^{2}{\left(x \right)} \cos{\left(x \right)}\right) - \sin{\left(x \right)} \cos^{2}{\left(x \right)}\right) - 3 \cos^{3}{\left(x \right)} = 0$$
Respuesta rápida
[src]
-3*pi
x1 = -----
4
$$x_{1} = - \frac{3 \pi}{4}$$
-pi
x2 = ----
4
$$x_{2} = - \frac{\pi}{4}$$
pi
x3 = --
4
$$x_{3} = \frac{\pi}{4}$$
3*pi
x4 = ----
4
$$x_{4} = \frac{3 \pi}{4}$$
/ ____\
|1 \/ 10 |
x5 = 2*atan|- - ------|
\3 3 /
$$x_{5} = 2 \operatorname{atan}{\left(\frac{1}{3} - \frac{\sqrt{10}}{3} \right)}$$
/ ____\
|1 \/ 10 |
x6 = 2*atan|- + ------|
\3 3 /
$$x_{6} = 2 \operatorname{atan}{\left(\frac{1}{3} + \frac{\sqrt{10}}{3} \right)}$$
x6 = 2*atan(1/3 + sqrt(10)/3)
Suma y producto de raíces
[src]
suma
/ ____\ / ____\ 3*pi pi pi 3*pi |1 \/ 10 | |1 \/ 10 | - ---- - -- + -- + ---- + 2*atan|- - ------| + 2*atan|- + ------| 4 4 4 4 \3 3 / \3 3 /
$$\left(2 \operatorname{atan}{\left(\frac{1}{3} - \frac{\sqrt{10}}{3} \right)} + \left(\left(\left(- \frac{3 \pi}{4} - \frac{\pi}{4}\right) + \frac{\pi}{4}\right) + \frac{3 \pi}{4}\right)\right) + 2 \operatorname{atan}{\left(\frac{1}{3} + \frac{\sqrt{10}}{3} \right)}$$
=
/ ____\ / ____\
|1 \/ 10 | |1 \/ 10 |
2*atan|- - ------| + 2*atan|- + ------|
\3 3 / \3 3 /
$$2 \operatorname{atan}{\left(\frac{1}{3} - \frac{\sqrt{10}}{3} \right)} + 2 \operatorname{atan}{\left(\frac{1}{3} + \frac{\sqrt{10}}{3} \right)}$$
producto
/ ____\ / ____\ -3*pi -pi pi 3*pi |1 \/ 10 | |1 \/ 10 | -----*----*--*----*2*atan|- - ------|*2*atan|- + ------| 4 4 4 4 \3 3 / \3 3 /
$$\frac{3 \pi}{4} \frac{\pi}{4} \cdot - \frac{3 \pi}{4} \left(- \frac{\pi}{4}\right) 2 \operatorname{atan}{\left(\frac{1}{3} - \frac{\sqrt{10}}{3} \right)} 2 \operatorname{atan}{\left(\frac{1}{3} + \frac{\sqrt{10}}{3} \right)}$$
=
/ ____\ / ____\
4 |1 \/ 10 | |1 \/ 10 |
9*pi *atan|- - ------|*atan|- + ------|
\3 3 / \3 3 /
---------------------------------------
64
$$\frac{9 \pi^{4} \operatorname{atan}{\left(\frac{1}{3} - \frac{\sqrt{10}}{3} \right)} \operatorname{atan}{\left(\frac{1}{3} + \frac{\sqrt{10}}{3} \right)}}{64}$$
9*pi^4*atan(1/3 - sqrt(10)/3)*atan(1/3 + sqrt(10)/3)/64
Respuesta numérica
[src]
x1 = 71.007585260167
x2 = 99.7455667514759
x3 = 58.4412146458078
x4 = -25.9181393921158
x5 = -38.484510006475
x6 = -84.037603483527
x7 = -55.7632696012188
x8 = -71.4712328691678
x9 = -64.0808988441941
x10 = 45.8748440314486
x11 = 1.89254688119154
x12 = 96.1403264888853
x13 = 14.4589174955507
x14 = 5.49778714378214
x15 = 82.4668071567321
x16 = -11.7809724509617
x17 = 60.4756585816035
x18 = 38.484510006475
x19 = 76.1836218495525
x20 = 23.8836954563201
x21 = -10.2101761241668
x22 = -77.7544181763474
x23 = -13.8154163867574
x24 = -95.496825380092
x25 = 16.4933614313464
x26 = 69.9004365423729
x27 = -82.9304547657329
x28 = 32.2013246992954
x29 = 36.4500660706793
x30 = 68.329640215578
x31 = -16.4933614313464
x32 = -79.7888621121431
x33 = 11.7809724509617
x34 = -3.92699081698724
x35 = 90.3207887907066
x36 = -82.4668071567321
x37 = -35.806564961886
x38 = -27.4889357189107
x39 = -18.0641577581413
x40 = 30.1668807634997
x41 = -62.0464549083984
x42 = -47.9092879672443
x43 = -32.2013246992954
x44 = -73.5056768049635
x45 = -49.4800842940392
x46 = -93.4623814442964
x47 = 47.9092879672443
x48 = -58.9048622548086
x49 = 77.7544181763474
x50 = 54.1924732744239
x51 = -98.174770424681
x52 = -51.5145282298349
x53 = 27.4889357189107
x54 = 92.9987338352955
x55 = 55.7632696012188
x56 = -42.0897502690656
x57 = -76.1836218495525
x58 = -5.49778714378214
x59 = -60.4756585816035
x60 = 84.037603483527
x61 = -7.53223107957784
x62 = 43.1968989868597
x63 = 3.92699081698724
x64 = -86.0720474193227
x65 = -23.2401943475268
x66 = 10.2101761241668
x67 = -69.9004365423729
x68 = -33.7721210260903
x69 = 74.1491779137568
x70 = -54.1924732744239
x71 = 33.7721210260903
x72 = 46.3384916404494
x73 = -91.8915851175014
x74 = 2.35619449019234
x75 = 88.7499924639117
x76 = -57.7977135370145
x77 = 25.9181393921158
x78 = 80.4323632209364
x79 = 40.0553063332699
x80 = 91.8915851175014
x81 = -90.3207887907066
x82 = -40.0553063332699
x83 = 98.174770424681
x84 = 18.0641577581413
x85 = -29.5233796547064
x86 = 62.0464549083984
x87 = 8.17573218837112
x88 = 52.1580293386282
x89 = -99.7455667514759
x89 = -99.7455667514759