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- La ecuación:
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Ecuación x^2+5x=36
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Ecuación 3*x=8
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Ecuación 9-7(x+3)=5-6x
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Ecuación 4x-5=3+2(x+1)
- Expresar {x} en función de y en la ecuación:
- -17*x+2*y=9
- 10*x-15*y=16
- -17*x+2*y=-4
- -2*x-19*y=3
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Expresiones idénticas
- (sin(x-pi/ cuatro)^ dos - trece / dos)*(cos(dos *x)+ uno)= cero
- ( seno de (x menos número pi dividir por 4) al cuadrado menos 13 dividir por 2) multiplicar por ( coseno de (2 multiplicar por x) más 1) es igual a 0
- ( seno de (x menos número pi dividir por cuatro) en el grado dos menos trece dividir por dos) multiplicar por ( coseno de (dos multiplicar por x) más uno) es igual a cero
- (sin(x-pi/4)2-13/2)*(cos(2*x)+1)=0
- sinx-pi/42-13/2*cos2*x+1=0
- (sin(x-pi/4)²-13/2)*(cos(2*x)+1)=0
- (sin(x-pi/4) en el grado 2-13/2)*(cos(2*x)+1)=0
- (sin(x-pi/4)^2-13/2)(cos(2x)+1)=0
- (sin(x-pi/4)2-13/2)(cos(2x)+1)=0
- sinx-pi/42-13/2cos2x+1=0
- sinx-pi/4^2-13/2cos2x+1=0
- (sin(x-pi/4)^2-13/2)*(cos(2*x)+1)=O
- (sin(x-pi dividir por 4)^2-13 dividir por 2)*(cos(2*x)+1)=0
-
Expresiones semejantes
- (sin(x-pi/4)^2+13/2)*(cos(2*x)+1)=0
- (sin(x-pi/4)^2-13/2)*(cos(2*x)-1)=0
- (sin(x+pi/4)^2-13/2)*(cos(2*x)+1)=0
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Expresiones con funciones
- Seno sin
- sin(x)=1/2
- sin(x)-sqrt(2)/2=0
- sin(x)/x=1
- sin(x)=-0,5
- sin(x)+cos(x)=0,5
- Coseno cos
- cos(2*x)+3*sin(x)+1=0
- cos(x)=4/7
- cos2x+5sinx+2=0
- cos(x)/(sin(x)-1)=0
- cos^2(x)-1=0
(sin(x-pi/4)^2-13/2)*(cos(2*x)+1)=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
/ 2/ pi\ 13\ |sin |x - --| - --|*(cos(2*x) + 1) = 0 \ \ 4 / 2 /
$$\left(\sin^{2}{\left(x - \frac{\pi}{4} \right)} - \frac{13}{2}\right) \left(\cos{\left(2 x \right)} + 1\right) = 0$$
Respuesta rápida
[src]
/ / _______________\\ / / _______________\\
| | ____ / ____ || | | ____ / ____ ||
| |\/ 11 *\/ 15 + 2*\/ 26 || pi | |\/ 11 *\/ 15 + 2*\/ 26 ||
x1 = 2*im|atanh|-------------------------|| - -- - 2*I*re|atanh|-------------------------||
\ \ 11 // 4 \ \ 11 //
$$x_{1} = 2 \operatorname{im}{\left(\operatorname{atanh}{\left(\frac{\sqrt{11} \sqrt{2 \sqrt{26} + 15}}{11} \right)}\right)} - \frac{\pi}{4} - 2 i \operatorname{re}{\left(\operatorname{atanh}{\left(\frac{\sqrt{11} \sqrt{2 \sqrt{26} + 15}}{11} \right)}\right)}$$
/ / _______________\\ / / _______________\\
| | ____ / ____ || | | ____ / ____ ||
| |\/ 11 *\/ 15 + 2*\/ 26 || pi | |\/ 11 *\/ 15 + 2*\/ 26 ||
x2 = - 2*im|atanh|-------------------------|| - -- + 2*I*re|atanh|-------------------------||
\ \ 11 // 4 \ \ 11 //
$$x_{2} = - \frac{\pi}{4} - 2 \operatorname{im}{\left(\operatorname{atanh}{\left(\frac{\sqrt{11} \sqrt{2 \sqrt{26} + 15}}{11} \right)}\right)} + 2 i \operatorname{re}{\left(\operatorname{atanh}{\left(\frac{\sqrt{11} \sqrt{2 \sqrt{26} + 15}}{11} \right)}\right)}$$
/ _______________\
| ____ / ____ |
pi |\/ 11 *\/ 15 - 2*\/ 26 |
x3 = - -- - 2*I*atanh|-------------------------|
4 \ 11 /
$$x_{3} = - \frac{\pi}{4} - 2 i \operatorname{atanh}{\left(\frac{\sqrt{11} \sqrt{15 - 2 \sqrt{26}}}{11} \right)}$$
/ _______________\
| ____ / ____ |
pi |\/ 11 *\/ 15 - 2*\/ 26 |
x4 = - -- + 2*I*atanh|-------------------------|
4 \ 11 /
$$x_{4} = - \frac{\pi}{4} + 2 i \operatorname{atanh}{\left(\frac{\sqrt{11} \sqrt{15 - 2 \sqrt{26}}}{11} \right)}$$
x4 = -pi/4 + 2*i*atanh(sqrt(11)*sqrt(15 - 2*sqrt(26))/11)
Suma y producto de raíces
[src]
suma
/ / _______________\\ / / _______________\\ / / _______________\\ / / _______________\\ / _______________\ / _______________\
| | ____ / ____ || | | ____ / ____ || | | ____ / ____ || | | ____ / ____ || | ____ / ____ | | ____ / ____ |
| |\/ 11 *\/ 15 + 2*\/ 26 || pi | |\/ 11 *\/ 15 + 2*\/ 26 || | |\/ 11 *\/ 15 + 2*\/ 26 || pi | |\/ 11 *\/ 15 + 2*\/ 26 || pi |\/ 11 *\/ 15 - 2*\/ 26 | pi |\/ 11 *\/ 15 - 2*\/ 26 |
2*im|atanh|-------------------------|| - -- - 2*I*re|atanh|-------------------------|| + - 2*im|atanh|-------------------------|| - -- + 2*I*re|atanh|-------------------------|| + - -- - 2*I*atanh|-------------------------| + - -- + 2*I*atanh|-------------------------|
\ \ 11 // 4 \ \ 11 // \ \ 11 // 4 \ \ 11 // 4 \ 11 / 4 \ 11 /
$$\left(\left(- \frac{\pi}{4} - 2 i \operatorname{atanh}{\left(\frac{\sqrt{11} \sqrt{15 - 2 \sqrt{26}}}{11} \right)}\right) + \left(\left(2 \operatorname{im}{\left(\operatorname{atanh}{\left(\frac{\sqrt{11} \sqrt{2 \sqrt{26} + 15}}{11} \right)}\right)} - \frac{\pi}{4} - 2 i \operatorname{re}{\left(\operatorname{atanh}{\left(\frac{\sqrt{11} \sqrt{2 \sqrt{26} + 15}}{11} \right)}\right)}\right) + \left(- \frac{\pi}{4} - 2 \operatorname{im}{\left(\operatorname{atanh}{\left(\frac{\sqrt{11} \sqrt{2 \sqrt{26} + 15}}{11} \right)}\right)} + 2 i \operatorname{re}{\left(\operatorname{atanh}{\left(\frac{\sqrt{11} \sqrt{2 \sqrt{26} + 15}}{11} \right)}\right)}\right)\right)\right) + \left(- \frac{\pi}{4} + 2 i \operatorname{atanh}{\left(\frac{\sqrt{11} \sqrt{15 - 2 \sqrt{26}}}{11} \right)}\right)$$
=
-pi
$$- \pi$$
producto
/ / / _______________\\ / / _______________\\\ / / / _______________\\ / / _______________\\\ / / _______________\\ / / _______________\\ | | | ____ / ____ || | | ____ / ____ ||| | | | ____ / ____ || | | ____ / ____ ||| | | ____ / ____ || | | ____ / ____ || | | |\/ 11 *\/ 15 + 2*\/ 26 || pi | |\/ 11 *\/ 15 + 2*\/ 26 ||| | | |\/ 11 *\/ 15 + 2*\/ 26 || pi | |\/ 11 *\/ 15 + 2*\/ 26 ||| | pi |\/ 11 *\/ 15 - 2*\/ 26 || | pi |\/ 11 *\/ 15 - 2*\/ 26 || |2*im|atanh|-------------------------|| - -- - 2*I*re|atanh|-------------------------|||*|- 2*im|atanh|-------------------------|| - -- + 2*I*re|atanh|-------------------------|||*|- -- - 2*I*atanh|-------------------------||*|- -- + 2*I*atanh|-------------------------|| \ \ \ 11 // 4 \ \ 11 /// \ \ \ 11 // 4 \ \ 11 /// \ 4 \ 11 // \ 4 \ 11 //
$$\left(- \frac{\pi}{4} - 2 \operatorname{im}{\left(\operatorname{atanh}{\left(\frac{\sqrt{11} \sqrt{2 \sqrt{26} + 15}}{11} \right)}\right)} + 2 i \operatorname{re}{\left(\operatorname{atanh}{\left(\frac{\sqrt{11} \sqrt{2 \sqrt{26} + 15}}{11} \right)}\right)}\right) \left(2 \operatorname{im}{\left(\operatorname{atanh}{\left(\frac{\sqrt{11} \sqrt{2 \sqrt{26} + 15}}{11} \right)}\right)} - \frac{\pi}{4} - 2 i \operatorname{re}{\left(\operatorname{atanh}{\left(\frac{\sqrt{11} \sqrt{2 \sqrt{26} + 15}}{11} \right)}\right)}\right) \left(- \frac{\pi}{4} - 2 i \operatorname{atanh}{\left(\frac{\sqrt{11} \sqrt{15 - 2 \sqrt{26}}}{11} \right)}\right) \left(- \frac{\pi}{4} + 2 i \operatorname{atanh}{\left(\frac{\sqrt{11} \sqrt{15 - 2 \sqrt{26}}}{11} \right)}\right)$$
=
/ / _______________\\ / / _______________\\ / / / _______________\\ / / _______________\\\ / / / _______________\\ / / _______________\\\
| | ____ / ____ || | | ____ / ____ || | | | ____ / ____ || | | ____ / ____ ||| | | | ____ / ____ || | | ____ / ____ |||
| |\/ 11 *\/ 15 - 2*\/ 26 || | |\/ 11 *\/ 15 - 2*\/ 26 || | | |\/ 11 *\/ 15 + 2*\/ 26 || | |\/ 11 *\/ 15 + 2*\/ 26 ||| | | |\/ 11 *\/ 15 + 2*\/ 26 || | |\/ 11 *\/ 15 + 2*\/ 26 |||
|pi - 8*I*atanh|-------------------------||*|pi + 8*I*atanh|-------------------------||*|pi - 8*im|atanh|-------------------------|| + 8*I*re|atanh|-------------------------|||*|pi + 8*im|atanh|-------------------------|| - 8*I*re|atanh|-------------------------|||
\ \ 11 // \ \ 11 // \ \ \ 11 // \ \ 11 /// \ \ \ 11 // \ \ 11 ///
-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
256
$$\frac{\left(\pi - 8 i \operatorname{atanh}{\left(\frac{\sqrt{11} \sqrt{15 - 2 \sqrt{26}}}{11} \right)}\right) \left(\pi + 8 i \operatorname{atanh}{\left(\frac{\sqrt{11} \sqrt{15 - 2 \sqrt{26}}}{11} \right)}\right) \left(\pi - 8 \operatorname{im}{\left(\operatorname{atanh}{\left(\frac{\sqrt{11} \sqrt{2 \sqrt{26} + 15}}{11} \right)}\right)} + 8 i \operatorname{re}{\left(\operatorname{atanh}{\left(\frac{\sqrt{11} \sqrt{2 \sqrt{26} + 15}}{11} \right)}\right)}\right) \left(8 \operatorname{im}{\left(\operatorname{atanh}{\left(\frac{\sqrt{11} \sqrt{2 \sqrt{26} + 15}}{11} \right)}\right)} + \pi - 8 i \operatorname{re}{\left(\operatorname{atanh}{\left(\frac{\sqrt{11} \sqrt{2 \sqrt{26} + 15}}{11} \right)}\right)}\right)}{256}$$
(pi - 8*i*atanh(sqrt(11)*sqrt(15 - 2*sqrt(26))/11))*(pi + 8*i*atanh(sqrt(11)*sqrt(15 - 2*sqrt(26))/11))*(pi - 8*im(atanh(sqrt(11)*sqrt(15 + 2*sqrt(26))/11)) + 8*i*re(atanh(sqrt(11)*sqrt(15 + 2*sqrt(26))/11)))*(pi + 8*im(atanh(sqrt(11)*sqrt(15 + 2*sqrt(26))/11)) - 8*i*re(atanh(sqrt(11)*sqrt(15 + 2*sqrt(26))/11)))/256
Respuesta numérica
[src]
x1 = 10.9955744668668
x2 = -29.8451301007897
x3 = -48.6946858840622
x4 = -98.9601688294017
x5 = -4.71238878415968
x6 = -67.544242172119
x7 = -36.1283154226
x8 = -26.703537308525
x9 = 86.3937978857388
x10 = 32.9867226071758
x11 = 67.5442422628364
x12 = -20.4203520465133
x13 = -70.6858344596776
x14 = 39.2699084175946
x15 = 61.2610569927953
x16 = -26.7035373148989
x17 = 54.9778711808903
x18 = 54.9778716029694
x19 = 39.2699082876661
x20 = 42.4115007261002
x21 = -92.6769830353691
x22 = -54.9778712411886
x23 = -76.9690198114123
x24 = -64.4026492015017
x25 = -32.9867231124337
x26 = -80.1106125822746
x27 = -10.9955741020106
x28 = -54.9778716850741
x29 = 89.5353908400425
x30 = -51.8362786928812
x31 = -39.269908400273
x32 = -4.71238873306823
x33 = 83.2522053721624
x34 = 29.845130315961
x35 = -89.5353907516189
x36 = -7.85398150483709
x37 = 76.9690197548378
x38 = 83.2522055679052
x39 = 17.2787597500718
x40 = -76.9690202574035
x41 = 23.5619449156502
x42 = 17.2787598423058
x43 = -23.5619450129768
x44 = 14.1371670963678
x45 = 76.9690201700855
x46 = -17.278759391687
x47 = -10.995574539501
x48 = -98.9601683820145
x49 = -73.8274272822578
x50 = 64.4026493058932
x51 = 20.4203521463584
x52 = 70.6858344890788
x53 = 1.57079653090265
x54 = -32.9867226713759
x55 = 45.5530936855776
x56 = 4.71238875523214
x57 = -1.57079643333366
x58 = 10.9955740337074
x59 = -58.1194640023663
x60 = -17.2787598225611
x61 = 36.1283156852747
x62 = 26.7035373331045
x63 = 51.836278895265
x64 = -86.3937977790743
x65 = 73.8274274744726
x66 = -48.694685842122
x67 = 95.8185760535896
x68 = -26.7035374987972
x69 = 32.9867230352105
x70 = -83.2522055554441
x71 = 98.9601683290065
x72 = -45.5530935925717
x73 = 98.9601687364937
x74 = -95.8185758696851
x75 = -14.1371668429633
x76 = 48.6946859110541
x77 = 92.6769830671769
x78 = 7.85398173655405
x79 = -61.2610569779014
x80 = 61.2610568284352
x81 = 23.5619451082663
x82 = -42.4115006239814
x82 = -42.4115006239814