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- La ecuación:
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Ecuación (x+9)^2=36*x
-
Ecuación a+120=2000/5
-
Ecuación 5^x=6-x
-
Ecuación 2^x=1
- 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
- (dos sin(x)^ dos -sin(2x)-2cos(2x))/(sqrt1-x^2)= cero
- (2 seno de (x) al cuadrado menos seno de (2x) menos 2 coseno de (2x)) dividir por ( raíz cuadrada de 1 menos x al cuadrado ) es igual a 0
- (dos seno de (x) en el grado dos menos seno de (2x) menos 2 coseno de (2x)) dividir por ( raíz cuadrada de 1 menos x al cuadrado ) es igual a cero
- (2sin(x)^2-sin(2x)-2cos(2x))/(√1-x^2)=0
- (2sin(x)2-sin(2x)-2cos(2x))/(sqrt1-x2)=0
- 2sinx2-sin2x-2cos2x/sqrt1-x2=0
- (2sin(x)²-sin(2x)-2cos(2x))/(sqrt1-x²)=0
- (2sin(x) en el grado 2-sin(2x)-2cos(2x))/(sqrt1-x en el grado 2)=0
- 2sinx^2-sin2x-2cos2x/sqrt1-x^2=0
- (2sin(x)^2-sin(2x)-2cos(2x))/(sqrt1-x^2)=O
- (2sin(x)^2-sin(2x)-2cos(2x)) dividir por (sqrt1-x^2)=0
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Expresiones semejantes
- (2sin(x)^2+sin(2x)-2cos(2x))/(sqrt1-x^2)=0
- (2sin(x)^2-sin(2x)+2cos(2x))/(sqrt1-x^2)=0
- (2sin(x)^2-sin(2x)-2cos(2x))/(sqrt1+x^2)=0
- (2sinx^2-sin(2x)-2cos(2x))/(sqrt1-x^2)=0
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Expresiones con funciones
- Seno sin
- sin(x)=1.5
- sin(sin(x))=1
- sin(x)=-0.5
- sin(-x)=1/2
- sin(x)=1/√2
(2sin(x)^2-sin(2x)-2cos(2x))/(sqrt1-x^2)=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
2
2*sin (x) - sin(2*x) - 2*cos(2*x)
--------------------------------- = 0
___ 2
\/ 1 - x
$$\frac{\left(2 \sin^{2}{\left(x \right)} - \sin{\left(2 x \right)}\right) - 2 \cos{\left(2 x \right)}}{- x^{2} + \sqrt{1}} = 0$$
Respuesta rápida
[src]
pi
x1 = --
4
$$x_{1} = \frac{\pi}{4}$$
/log(5) / ___\\
x2 = pi - atan(1/2) + I*|------ - log\\/ 5 /|
\ 2 /
$$x_{2} = - \operatorname{atan}{\left(\frac{1}{2} \right)} + \pi + i \left(- \log{\left(\sqrt{5} \right)} + \frac{\log{\left(5 \right)}}{2}\right)$$
/log(5) / ___\\
x3 = -atan(1/2) + I*|------ - log\\/ 5 /|
\ 2 /
$$x_{3} = - \operatorname{atan}{\left(\frac{1}{2} \right)} + i \left(- \log{\left(\sqrt{5} \right)} + \frac{\log{\left(5 \right)}}{2}\right)$$
/ ___\ x4 = -I*log\-\/ I /
$$x_{4} = - i \log{\left(- \sqrt{i} \right)}$$
x4 = -i*log(-sqrt(i))
Suma y producto de raíces
[src]
suma
pi /log(5) / ___\\ /log(5) / ___\\ / ___\ -- + pi - atan(1/2) + I*|------ - log\\/ 5 /| + -atan(1/2) + I*|------ - log\\/ 5 /| - I*log\-\/ I / 4 \ 2 / \ 2 /
$$- i \log{\left(- \sqrt{i} \right)} + \left(\left(\frac{\pi}{4} + \left(- \operatorname{atan}{\left(\frac{1}{2} \right)} + \pi + i \left(- \log{\left(\sqrt{5} \right)} + \frac{\log{\left(5 \right)}}{2}\right)\right)\right) + \left(- \operatorname{atan}{\left(\frac{1}{2} \right)} + i \left(- \log{\left(\sqrt{5} \right)} + \frac{\log{\left(5 \right)}}{2}\right)\right)\right)$$
=
5*pi / ___\ /log(5) / ___\\
-2*atan(1/2) + ---- - I*log\-\/ I / + 2*I*|------ - log\\/ 5 /|
4 \ 2 /
$$- i \log{\left(- \sqrt{i} \right)} - 2 \operatorname{atan}{\left(\frac{1}{2} \right)} + \frac{5 \pi}{4} + 2 i \left(- \log{\left(\sqrt{5} \right)} + \frac{\log{\left(5 \right)}}{2}\right)$$
producto
pi / /log(5) / ___\\\ / /log(5) / ___\\\ / / ___\\ --*|pi - atan(1/2) + I*|------ - log\\/ 5 /||*|-atan(1/2) + I*|------ - log\\/ 5 /||*\-I*log\-\/ I // 4 \ \ 2 // \ \ 2 //
$$- i \log{\left(- \sqrt{i} \right)} \frac{\pi}{4} \left(- \operatorname{atan}{\left(\frac{1}{2} \right)} + \pi + i \left(- \log{\left(\sqrt{5} \right)} + \frac{\log{\left(5 \right)}}{2}\right)\right) \left(- \operatorname{atan}{\left(\frac{1}{2} \right)} + i \left(- \log{\left(\sqrt{5} \right)} + \frac{\log{\left(5 \right)}}{2}\right)\right)$$
=
/ ___\
pi*I*(pi - atan(1/2))*atan(1/2)*log\-\/ I /
-------------------------------------------
4
$$\frac{i \pi \left(\pi - \operatorname{atan}{\left(\frac{1}{2} \right)}\right) \log{\left(- \sqrt{i} \right)} \operatorname{atan}{\left(\frac{1}{2} \right)}}{4}$$
pi*i*(pi - atan(1/2))*atan(1/2)*log(-sqrt(i))/4
Respuesta numérica
[src]
x1 = -46.3384916404494
x2 = 68.6513907699746
x3 = 38.484510006475
x4 = 24.6690936197175
x5 = -2.35619449019234
x6 = 40.3770568876665
x7 = -85.2866492559252
x8 = -82.1450566023354
x9 = 32.2013246992954
x10 = 60.4756585816035
x11 = 12.1027230053584
x12 = -30.6305283725005
x13 = -22.4547961841294
x14 = 2.67794504458899
x15 = -53.8707227200273
x16 = -47.5875374128477
x17 = 1099.09378114743
x18 = 47.9092879672443
x19 = -69.5786859879763
x20 = -91.5698345631048
x21 = 54.1924732744239
x22 = 19.6349540849362
x23 = 69.9004365423729
x24 = -3.6052402625906
x25 = -96.6039740978861
x26 = 79.3252145031423
x27 = -60.1539080272069
x28 = -24.3473430653209
x29 = 16.4933614313464
x30 = 56.0850201556155
x31 = 25.9181393921158
x32 = -33.7721210260903
x33 = 18.385908312538
x34 = -75.8618712951559
x35 = -41.3043521056681
x36 = -52.621676947629
x37 = 84.3593540379236
x38 = -31.8795741448987
x39 = 5.81953769817878
x40 = -16.1716108769498
x41 = -62.0464549083984
x42 = -49.4800842940392
x43 = -5.49778714378214
x44 = 10.2101761241668
x45 = 76.1836218495525
x46 = -74.6128255227576
x47 = -55.7632696012188
x48 = -93.4623814442964
x49 = 78.076168730744
x50 = -40.0553063332699
x51 = -68.329640215578
x52 = -107.277797831054
x53 = 91.8915851175014
x54 = -38.1627594520783
x55 = -99.7455667514759
x56 = 100.067317305873
x57 = -90.3207887907066
x58 = 46.6602421948461
x59 = -19.3132035305396
x60 = -77.7544181763474
x61 = 3.92699081698724
x62 = -9.88842556977019
x63 = -18.0641577581413
x64 = -84.037603483527
x65 = -8.63937979737193
x66 = 49.8018348484359
x67 = -11.7809724509617
x68 = -25.5963888377192
x69 = 182.997772071605
x70 = 62.3682054627951
x71 = 93.784131998693
x72 = -71.4712328691678
x73 = 27.8106862733073
x74 = -27.4889357189107
x75 = -63.2955006807967
x76 = 82.4668071567321
x77 = 71.7929834235644
x78 = 63.6172512351933
x79 = 34.0938715804869
x80 = 85.6083998103219
x81 = 41.6261026600648
x82 = 98.174770424681
x83 = 90.6425393451032
x84 = -97.8530198702844
x84 = -97.8530198702844