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- La ecuación:
- Ecuación x^2-49=0
-
Ecuación 1-x/2=x/3
-
Ecuación 3*x^2-9=0
-
Ecuación -8x-17=3x-105
- Expresar {x} en función de y en la ecuación:
- 4*x-1*y=-3
- -11*x+9*y=-20
- -19*x+14*y=20
- 5*x-14*y=-15
-
Expresiones idénticas
- ((tres *x^ dos *cot(x))-(x^ tres /sin(x)^(dos)))=((x^ dos)*(tres *sin(dos *x)- dos *x)/(dos *sin(x)^(dos)))
- ((3 multiplicar por x al cuadrado multiplicar por cotangente de (x)) menos (x al cubo dividir por seno de (x) en el grado (2))) es igual a ((x al cuadrado ) multiplicar por (3 multiplicar por seno de (2 multiplicar por x) menos 2 multiplicar por x) dividir por (2 multiplicar por seno de (x) en el grado (2)))
- ((tres multiplicar por x en el grado dos multiplicar por cotangente de (x)) menos (x en el grado tres dividir por seno de (x) en el grado (dos))) es igual a ((x en el grado dos) multiplicar por (tres multiplicar por seno de (dos multiplicar por x) menos dos multiplicar por x) dividir por (dos multiplicar por seno de (x) en el grado (dos)))
- ((3*x2*cot(x))-(x3/sin(x)(2)))=((x2)*(3*sin(2*x)-2*x)/(2*sin(x)(2)))
- 3*x2*cotx-x3/sinx2=x2*3*sin2*x-2*x/2*sinx2
- ((3*x²*cot(x))-(x³/sin(x)^(2)))=((x²)*(3*sin(2*x)-2*x)/(2*sin(x)^(2)))
- ((3*x en el grado 2*cot(x))-(x en el grado 3/sin(x) en el grado (2)))=((x en el grado 2)*(3*sin(2*x)-2*x)/(2*sin(x) en el grado (2)))
- ((3x^2cot(x))-(x^3/sin(x)^(2)))=((x^2)(3sin(2x)-2x)/(2sin(x)^(2)))
- ((3x2cot(x))-(x3/sin(x)(2)))=((x2)(3sin(2x)-2x)/(2sin(x)(2)))
- 3x2cotx-x3/sinx2=x23sin2x-2x/2sinx2
- 3x^2cotx-x^3/sinx^2=x^23sin2x-2x/2sinx^2
- ((3*x^2*cot(x))-(x^3 dividir por sin(x)^(2)))=((x^2)*(3*sin(2*x)-2*x) dividir por (2*sin(x)^(2)))
-
Expresiones semejantes
- ((3*x^2*cot(x))+(x^3/sin(x)^(2)))=((x^2)*(3*sin(2*x)-2*x)/(2*sin(x)^(2)))
- ((3*x^2*cot(x))-(x^3/sin(x)^(2)))=((x^2)*(3*sin(2*x)+2*x)/(2*sin(x)^(2)))
- ((3*x^2*cot(x))-(x^3/sinx^(2)))=((x^2)*(3*sin(2*x)-2*x)/(2*sinx^(2)))
-
Expresiones con funciones
- Cotangente cot
- cot(4*x-pi/3)=1/2
- cot(x+pi/2)=sqrt(3)
- cot(3*x-1)/x=0
- cot(z)=-i^2
- cot(pi/4-x/2)=-1
- Seno sin
- sin(2x)=0
- sin(x)=a
- sin(x)^2=1/2
- sin(3*x)+sin(x)=0
- sin((pi*x)/4)=-1
- Seno sin
- sin(2x)=0
- sin(x)=a
- sin(x)^2=1/2
- sin(3*x)+sin(x)=0
- sin((pi*x)/4)=-1
- Seno sin
- sin(2x)=0
- sin(x)=a
- sin(x)^2=1/2
- sin(3*x)+sin(x)=0
- sin((pi*x)/4)=-1
((3*x^2*cot(x))-(x^3/sin(x)^(2)))=((x^2)*(3*sin(2*x)-2*x)/(2*sin(x)^(2))) la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
3 2
2 x x *(3*sin(2*x) - 2*x)
3*x *cot(x) - ------- = ---------------------
2 2
sin (x) 2*sin (x)
$$- \frac{x^{3}}{\sin^{2}{\left(x \right)}} + 3 x^{2} \cot{\left(x \right)} = \frac{x^{2} \left(- 2 x + 3 \sin{\left(2 x \right)}\right)}{2 \sin^{2}{\left(x \right)}}$$
Respuesta rápida
[src]
-3*pi
x1 = -----
2
$$x_{1} = - \frac{3 \pi}{2}$$
-pi
x2 = ----
2
$$x_{2} = - \frac{\pi}{2}$$
pi
x3 = --
2
$$x_{3} = \frac{\pi}{2}$$
3*pi
x4 = ----
2
$$x_{4} = \frac{3 \pi}{2}$$
x4 = 3*pi/2
Suma y producto de raíces
[src]
suma
3*pi pi pi 3*pi - ---- - -- + -- + ---- 2 2 2 2
$$\left(\left(- \frac{3 \pi}{2} - \frac{\pi}{2}\right) + \frac{\pi}{2}\right) + \frac{3 \pi}{2}$$
=
0
$$0$$
producto
-3*pi -pi pi 3*pi -----*----*--*---- 2 2 2 2
$$\frac{3 \pi}{2} \frac{\pi}{2} \cdot - \frac{3 \pi}{2} \left(- \frac{\pi}{2}\right)$$
=
4 9*pi ----- 16
$$\frac{9 \pi^{4}}{16}$$
9*pi^4/16
Respuesta numérica
[src]
x1 = 48.009593062196
x2 = -26.0
x3 = -60.0045046111821
x4 = 29.5936228899326
x5 = 54.5464024545753
x6 = 82.8342106342491
x7 = -70.7401398316331
x8 = 57.5817086592408
x9 = 26.0
x10 = 23.8522198578906
x11 = 76.2952292064809
x12 = 72.0018927106784
x13 = 56.0827052118761
x14 = -23.8399556348822
x15 = -48.0246385987127
x16 = -19.5833333333333
x17 = -2.0
x18 = -6.98902715002056
x19 = -92.0883192468571
x20 = -83.6281586866413
x21 = -96.1081181102455
x22 = -21.7502316650411
x23 = -87.7450432600703
x24 = 86.0754285595215
x25 = 16.2625406684413
x26 = 98.479012345679
x27 = -57.7496869642518
x28 = -65.517079286467
x29 = 39.9886363636364
x30 = 8.55769230769231
x31 = -7.76445832045655
x32 = 22.2500505735597
x33 = -54.1076970418987
x34 = -79.8173782932099
x35 = 5.99214281367896
x36 = 101.488423798894
x37 = -31.0931711788556
x38 = -43.7538784788869
x39 = 60.273918051834
x40 = -5.625
x41 = 48.2227641418351
x42 = 41.8868163938586
x43 = -23.7010762765226
x44 = -71.6895176373455
x45 = -76.4877192982456
x46 = 67.9690295930102
x47 = -55.9105415860735
x48 = 28.0071120088138
x49 = -93.7610728336562
x50 = 95.8265121973954
x51 = 83.9131944459325
x52 = 58.1688087871478
x53 = -89.7830848559542
x54 = 88.2684299316331
x55 = -77.7507787156012
x56 = 64.2528492134402
x57 = -33.8134328358209
x58 = -14.0092592592593
x59 = 49.9883940974743
x60 = -74.1963226123977
x61 = -45.5758510911427
x62 = 38.3082558680891
x63 = 44.2593406097041
x64 = -64.3971583947135
x65 = 11.9974279835391
x66 = 29.7127836644259
x67 = -99.5341158081144
x68 = -17.8328450864861
x69 = -38.0000240495268
x70 = -85.9891064495496
x71 = 34.1155761024182
x72 = 76.7081218206394
x73 = -81.9703395579907
x74 = -32.691313525098
x75 = 76.741363811336
x76 = 23.6231915934488
x77 = -64.9617907597057
x78 = -49.7557938651299
x79 = 80.1018963309798
x80 = 15.4979454099979
x81 = -11.3904760432775
x82 = 2.0
x83 = 66.332999692031
x84 = -51.689015573584
x85 = -9.79673913043478
x86 = 70.2399267399267
x87 = 57.4194532865197
x88 = -3.75
x89 = -28.0174116659548
x90 = 4.23333333333333
x91 = 18.0605147426287
x92 = -41.8238738478208
x93 = 92.3669280697192
x94 = -91.9433107636577
x95 = 10.2667824074074
x96 = 90.1500960283763
x97 = -39.7090909090909
x98 = 94.0011303366035
x98 = 94.0011303366035