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- Ecuación x^2-49=0
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Ecuación 1-x/2=x/3
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Ecuación 3*x^2-9=0
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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
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Expresiones idénticas
- cuatro *sin(x/ dos)^(dos)- tres = dos *sin(x/ dos)*cos(x/ dos)
- 4 multiplicar por seno de (x dividir por 2) en el grado (2) menos 3 es igual a 2 multiplicar por seno de (x dividir por 2) multiplicar por coseno de (x dividir por 2)
- cuatro multiplicar por seno de (x dividir por dos) en el grado (dos) menos tres es igual a dos multiplicar por seno de (x dividir por dos) multiplicar por coseno de (x dividir por dos)
- 4*sin(x/2)(2)-3=2*sin(x/2)*cos(x/2)
- 4*sinx/22-3=2*sinx/2*cosx/2
- 4sin(x/2)^(2)-3=2sin(x/2)cos(x/2)
- 4sin(x/2)(2)-3=2sin(x/2)cos(x/2)
- 4sinx/22-3=2sinx/2cosx/2
- 4sinx/2^2-3=2sinx/2cosx/2
- 4*sin(x dividir por 2)^(2)-3=2*sin(x dividir por 2)*cos(x dividir por 2)
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Expresiones semejantes
- 4*sin(x/2)^(2)+3=2*sin(x/2)*cos(x/2)
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Expresiones con funciones
- 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
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- cos(x)=-x+pi/2
- cos(x^2)=1
- cos(x)=1
- cos^2(x)=-1
- cos((pi*(8*x+1)/6))=sqrt(3)/2
4*sin(x/2)^(2)-3=2*sin(x/2)*cos(x/2) la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
2/x\ /x\ /x\
4*sin |-| - 3 = 2*sin|-|*cos|-|
\2/ \2/ \2/
$$4 \sin^{2}{\left(\frac{x}{2} \right)} - 3 = 2 \sin{\left(\frac{x}{2} \right)} \cos{\left(\frac{x}{2} \right)}$$
Suma y producto de raíces
[src]
suma
/ ____\ / ____\ pi 3*pi |1 \/ 10 | |1 \/ 10 | - -- + ---- - 4*atan|- - ------| - 4*atan|- + ------| 2 2 \3 3 / \3 3 /
$$- 4 \operatorname{atan}{\left(\frac{1}{3} + \frac{\sqrt{10}}{3} \right)} + \left(- 4 \operatorname{atan}{\left(\frac{1}{3} - \frac{\sqrt{10}}{3} \right)} + \left(- \frac{\pi}{2} + \frac{3 \pi}{2}\right)\right)$$
=
/ ____\ / ____\
|1 \/ 10 | |1 \/ 10 |
pi - 4*atan|- - ------| - 4*atan|- + ------|
\3 3 / \3 3 /
$$- 4 \operatorname{atan}{\left(\frac{1}{3} + \frac{\sqrt{10}}{3} \right)} - 4 \operatorname{atan}{\left(\frac{1}{3} - \frac{\sqrt{10}}{3} \right)} + \pi$$
producto
/ ____\ / ____\ -pi 3*pi |1 \/ 10 | |1 \/ 10 | ----*----*-4*atan|- - ------|*-4*atan|- + ------| 2 2 \3 3 / \3 3 /
$$- \frac{\pi}{2} \frac{3 \pi}{2} \left(- 4 \operatorname{atan}{\left(\frac{1}{3} - \frac{\sqrt{10}}{3} \right)}\right) \left(- 4 \operatorname{atan}{\left(\frac{1}{3} + \frac{\sqrt{10}}{3} \right)}\right)$$
=
/ ____\ / ____\
2 |1 \/ 10 | |1 \/ 10 |
-12*pi *atan|- - ------|*atan|- + ------|
\3 3 / \3 3 /
$$- 12 \pi^{2} \operatorname{atan}{\left(\frac{1}{3} - \frac{\sqrt{10}}{3} \right)} \operatorname{atan}{\left(\frac{1}{3} + \frac{\sqrt{10}}{3} \right)}$$
-12*pi^2*atan(1/3 - sqrt(10)/3)*atan(1/3 + sqrt(10)/3)
Respuesta rápida
[src]
-pi
x1 = ----
2
$$x_{1} = - \frac{\pi}{2}$$
3*pi
x2 = ----
2
$$x_{2} = \frac{3 \pi}{2}$$
/ ____\
|1 \/ 10 |
x3 = -4*atan|- - ------|
\3 3 /
$$x_{3} = - 4 \operatorname{atan}{\left(\frac{1}{3} - \frac{\sqrt{10}}{3} \right)}$$
/ ____\
|1 \/ 10 |
x4 = -4*atan|- + ------|
\3 3 /
$$x_{4} = - 4 \operatorname{atan}{\left(\frac{1}{3} + \frac{\sqrt{10}}{3} \right)}$$
x4 = -4*atan(1/3 + sqrt(10)/3)
Respuesta numérica
[src]
x1 = 4.71238898038469
x2 = -35.201020298281
x3 = -3.78509376238308
x4 = -108.384946548848
x5 = -460.243323750905
x6 = 17.2787595947439
x7 = -89.5353906273091
x8 = -1153.60800497625
x9 = 36.1283155162826
x10 = 48.6946861306418
x11 = -58.1194640914112
x12 = -95.8185759344887
x13 = -123.165614598795
x14 = -1.5707963267949
x15 = 23.5619449019235
x16 = -60.3337615269994
x17 = -10.0682790695627
x18 = 61.261056745001
x19 = -54.0505762198198
x20 = 29.845130209103
x21 = -32.9867228626928
x22 = -51.8362787842316
x23 = -22.6346496839218
x24 = 52.7635740022332
x25 = -83.2522053201295
x26 = 67.5442420521806
x27 = 98.9601685880785
x28 = -315.730061685774
x29 = 92.6769832808989
x30 = -39.2699081698724
x31 = 404.62195120429
x32 = -72.9001321413585
x33 = 86.3937979737193
x34 = 65.3299446165924
x35 = 90.4626858453107
x36 = 33.9140180806944
x37 = -26.7035375555132
x38 = -47.7673909126402
x39 = 21.3476474663353
x40 = -66.6169468341789
x41 = -41.4842056054606
x42 = -16.3514643767422
x43 = -14.1371669411541
x44 = -7.85398163397448
x45 = -79.1833174485381
x46 = 54.9778714378214
x47 = 96.7458711524903
x48 = 40.197203387874
x49 = 46.4803886950536
x50 = -70.6858347057703
x51 = 59.0467593094128
x52 = -45.553093477052
x53 = 77.8963152309515
x54 = 8.7812768519761
x55 = 6329.66569587464
x56 = 15.0644621591557
x57 = 2.49809154479651
x58 = 10.9955742875643
x59 = -91.7496880628973
x60 = 2264.44480212945
x61 = 71.613129923772
x62 = 80.1106126665397
x63 = 84.1795005381311
x64 = -28.9178349911014
x65 = -98.0328733700769
x66 = 73.8274273593601
x67 = 27.6308327735149
x68 = 130.376095123976
x69 = -20.4203522483337
x70 = -85.4665027557177
x71 = 42.4115008234622
x72 = -76.9690200129499
x73 = -64.4026493985908
x73 = -64.4026493985908