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- La ecuación:
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Ecuación x^4+2*x^2-8=0
-
Ecuación x*(x^2+8*x+16)=5*(x+4)
-
Ecuación -25-x=-17
-
Ecuación x^2+3x=4
- Expresar {x} en función de y en la ecuación:
- -18*x-2*y=9
- -14*x+10*y=19
- -9*x+1*y=3
- -17*x+1*y=-11
-
Expresiones idénticas
- (dos *√ tres)*cos^ dos (π+x)= dos *cos((π/ dos)-2x)
- (2 multiplicar por √3) multiplicar por coseno de al cuadrado (π más x) es igual a 2 multiplicar por coseno de ((π dividir por 2) menos 2x)
- (dos multiplicar por √ tres) multiplicar por coseno de en el grado dos (π más x) es igual a dos multiplicar por coseno de ((π dividir por dos) menos 2x)
- (2*√3)*cos2(π+x)=2*cos((π/2)-2x)
- 2*√3*cos2π+x=2*cosπ/2-2x
- (2*√3)*cos²(π+x)=2*cos((π/2)-2x)
- (2*√3)*cos en el grado 2(π+x)=2*cos((π/2)-2x)
- (2√3)cos^2(π+x)=2cos((π/2)-2x)
- (2√3)cos2(π+x)=2cos((π/2)-2x)
- 2√3cos2π+x=2cosπ/2-2x
- 2√3cos^2π+x=2cosπ/2-2x
- (2*√3)*cos^2(π+x)=2*cos((π dividir por 2)-2x)
-
Expresiones semejantes
- (2*√3)*cos^2(π-x)=2*cos((π/2)-2x)
- (2*√3)*cos^2(π+x)=2*cos((π/2)+2x)
-
Expresiones con funciones
- Coseno cos
- cos(x)=sqrt(3)
- cos2x=1/2
- cos(2*x)+3*sin(x)-2=0
- cos(2*x)+sqrt(2)*sin(x)+1=0
- cos(pi+x)=1/2
- Coseno cos
- cos(x)=sqrt(3)
- cos2x=1/2
- cos(2*x)+3*sin(x)-2=0
- cos(2*x)+sqrt(2)*sin(x)+1=0
- cos(pi+x)=1/2
(2*√3)*cos^2(π+x)=2*cos((π/2)-2x) la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
___ 2 /pi \
2*\/ 3 *cos (pi + x) = 2*cos|-- - 2*x|
\2 /
$$2 \sqrt{3} \cos^{2}{\left(x + \pi \right)} = 2 \cos{\left(- 2 x + \frac{\pi}{2} \right)}$$
Suma y producto de raíces
[src]
suma
/ / ___\\
| I*atan\4*\/ 3 /|
| ---------------| / ___\
pi pi | 2 | atan\4*\/ 3 /
- -- + -- - I*log\-e / + -------------
2 2 2
$$\left(- i \log{\left(- e^{\frac{i \operatorname{atan}{\left(4 \sqrt{3} \right)}}{2}} \right)} + \left(- \frac{\pi}{2} + \frac{\pi}{2}\right)\right) + \frac{\operatorname{atan}{\left(4 \sqrt{3} \right)}}{2}$$
=
/ / ___\\
| I*atan\4*\/ 3 /|
/ ___\ | ---------------|
atan\4*\/ 3 / | 2 |
------------- - I*log\-e /
2
$$- i \log{\left(- e^{\frac{i \operatorname{atan}{\left(4 \sqrt{3} \right)}}{2}} \right)} + \frac{\operatorname{atan}{\left(4 \sqrt{3} \right)}}{2}$$
producto
/ / / ___\\\
| | I*atan\4*\/ 3 /||
| | ---------------|| / ___\
-pi pi | | 2 || atan\4*\/ 3 /
----*--*\-I*log\-e //*-------------
2 2 2
$$- i \log{\left(- e^{\frac{i \operatorname{atan}{\left(4 \sqrt{3} \right)}}{2}} \right)} - \frac{\pi}{2} \frac{\pi}{2} \frac{\operatorname{atan}{\left(4 \sqrt{3} \right)}}{2}$$
=
/ / ___\\
| I*atan\4*\/ 3 /|
| ---------------|
2 / ___\ | 2 |
I*pi *atan\4*\/ 3 /*log\-e /
------------------------------------------
8
$$\frac{i \pi^{2} \log{\left(- e^{\frac{i \operatorname{atan}{\left(4 \sqrt{3} \right)}}{2}} \right)} \operatorname{atan}{\left(4 \sqrt{3} \right)}}{8}$$
i*pi^2*atan(4*sqrt(3))*log(-exp(i*atan(4*sqrt(3))/2))/8
Respuesta rápida
[src]
-pi
x1 = ----
2
$$x_{1} = - \frac{\pi}{2}$$
pi
x2 = --
2
$$x_{2} = \frac{\pi}{2}$$
/ / ___\\
| I*atan\4*\/ 3 /|
| ---------------|
| 2 |
x3 = -I*log\-e /
$$x_{3} = - i \log{\left(- e^{\frac{i \operatorname{atan}{\left(4 \sqrt{3} \right)}}{2}} \right)}$$
/ ___\
atan\4*\/ 3 /
x4 = -------------
2
$$x_{4} = \frac{\operatorname{atan}{\left(4 \sqrt{3} \right)}}{2}$$
x4 = atan(4*sqrt(3))/2
Respuesta numérica
[src]
x1 = 86.3937979737193
x2 = -27.5606095033634
x3 = -7.85398163397448
x4 = -18.135831542594
x5 = 1.5707963267949
x6 = -64.4026493985908
x7 = -58.1194640914112
x8 = -20.4203522483337
x9 = 3.85531703253456
x10 = -45.553093477052
x11 = 64.4026493985908
x12 = 66.6871701043304
x13 = 0.713724378944766
x14 = 94.9615039866386
x15 = 88.678318679459
x16 = -29.845130209103
x17 = 42.4115008234622
x18 = 98.1030966402284
x19 = 283.457063202026
x20 = 17.2787595947439
x21 = -65.2597213464409
x22 = 95.8185759344887
x23 = 58.1194640914112
x24 = 76.1119480650998
x25 = -73.8274273593601
x26 = 7.85398163397448
x27 = -43.2685727713123
x28 = -93.534055228749
x29 = 50.9792068363815
x30 = -40.1269801177225
x31 = -99.8172405359286
x32 = 89.5353906273091
x33 = 23.5619449019235
x34 = 10.1385023397141
x35 = 22.7048729540733
x36 = -77.8260919608001
x37 = -92.6769832808989
x38 = 314.872989737924
x39 = 54.1207994899712
x40 = -48.6946861306418
x41 = -42.4115008234622
x42 = -67.5442420521806
x43 = -11.8526462354144
x44 = 20.4203522483337
x45 = -55.8349433856715
x46 = 39.2699081698724
x47 = -14.1371669411541
x48 = 82.3951333722794
x49 = 91.8199113330488
x50 = 29.845130209103
x51 = -21.2774241961838
x52 = -86.3937979737193
x53 = 60.4039847971508
x54 = -87.2508699215694
x55 = 80.1106126665397
x56 = 38.4128362220223
x57 = -95.8185759344887
x58 = -36.1283155162826
x59 = -71.5429066536205
x60 = 32.1296509148427
x61 = -49.5517580784919
x62 = 51.8362787842316
x63 = -4.71238898038469
x64 = 16.4216876468937
x65 = -1.5707963267949
x66 = 47.8376141827917
x67 = 45.553093477052
x68 = -33.843794810543
x69 = -51.8362787842316
x70 = 44.6960215292019
x71 = 36.1283155162826
x72 = -70.6858347057703
x73 = 69.8287627579202
x74 = 98.9601685880785
x75 = -23.5619449019235
x76 = 73.8274273593601
x77 = 14.1371669411541
x78 = -26.7035375555132
x79 = -89.5353906273091
x80 = -5.56946092823482
x81 = 25.8464656076631
x82 = -80.1106126665397
x83 = 72.97035541151
x84 = -84.1092772679796
x85 = 67.5442420521806
x86 = -62.1181286928511
x86 = -62.1181286928511