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- La ecuación:
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Ecuación (x-3)*(x+2)=0
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Ecuación (11x+14)-(5x-8)=25
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Ecuación z^2-6*z+10=0
-
Ecuación 4/(x-4)=-5
- Expresar {x} en función de y en la ecuación:
- -7*x-13*y=5
- 15*x+1*y=19
- 7*x-1*y=-7
- -11*x-14*y=-3
-
Expresiones idénticas
- sqrt(tres / dos)*cos(x)- uno / dos *sin(x)= uno
- raíz cuadrada de (3 dividir por 2) multiplicar por coseno de (x) menos 1 dividir por 2 multiplicar por seno de (x) es igual a 1
- raíz cuadrada de (tres dividir por dos) multiplicar por coseno de (x) menos uno dividir por dos multiplicar por seno de (x) es igual a uno
- √(3/2)*cos(x)-1/2*sin(x)=1
- sqrt(3/2)cos(x)-1/2sin(x)=1
- sqrt3/2cosx-1/2sinx=1
- sqrt(3 dividir por 2)*cos(x)-1 dividir por 2*sin(x)=1
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Expresiones semejantes
- sqrt(3/2)*cos(x)+1/2*sin(x)=1
- sqrt(3/2)*cosx-1/2*sinx=1
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Expresiones con funciones
- Raíz cuadrada sqrt
- sqrt(x)=1
- sqrt(x-2)+sqrt(y-2)=2
- sqrt(x^2+9)=2*x-3
- sqrt(x)=-2
- sqrt(2-x)+sqrt(-x-1)=sqrt(-5*x-7)
- Coseno cos
- cos(x)^2=cos(x)
- cos^2(x)=1
- cos(4*x)=0
- cos(pi*x)=-1
- cos(x)=x^2+1
- Seno sin
- sin(x)=(-1)/sqrt(2)
- sin(x)=-5/2
- sin((pi*x)/4)=1
- sin(2*x)-sin(x)=0
- sin(5*x)-cos(4*x)=0
sqrt(3/2)*cos(x)-1/2*sin(x)=1 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
_____ sin(x)
\/ 3/2 *cos(x) - ------ = 1
2
$$- \frac{\sin{\left(x \right)}}{2} + \sqrt{\frac{3}{2}} \cos{\left(x \right)} = 1$$
Respuesta rápida
[src]
/ ___ ___\
| \/ 6 ___ 3*\/ 2 |
x1 = -2*atan|-1 + ----- - \/ 3 + -------|
\ 2 2 /
$$x_{1} = - 2 \operatorname{atan}{\left(- \sqrt{3} - 1 + \frac{\sqrt{6}}{2} + \frac{3 \sqrt{2}}{2} \right)}$$
/ ___ ___\
| ___ \/ 6 3*\/ 2 |
x2 = 2*atan|1 - \/ 3 - ----- + -------|
\ 2 2 /
$$x_{2} = 2 \operatorname{atan}{\left(- \sqrt{3} - \frac{\sqrt{6}}{2} + 1 + \frac{3 \sqrt{2}}{2} \right)}$$
x2 = 2*atan(-sqrt(3) - sqrt(6)/2 + 1 + 3*sqrt(2)/2)
Suma y producto de raíces
[src]
suma
/ ___ ___\ / ___ ___\
| \/ 6 ___ 3*\/ 2 | | ___ \/ 6 3*\/ 2 |
- 2*atan|-1 + ----- - \/ 3 + -------| + 2*atan|1 - \/ 3 - ----- + -------|
\ 2 2 / \ 2 2 /
$$- 2 \operatorname{atan}{\left(- \sqrt{3} - 1 + \frac{\sqrt{6}}{2} + \frac{3 \sqrt{2}}{2} \right)} + 2 \operatorname{atan}{\left(- \sqrt{3} - \frac{\sqrt{6}}{2} + 1 + \frac{3 \sqrt{2}}{2} \right)}$$
=
/ ___ ___\ / ___ ___\
| \/ 6 ___ 3*\/ 2 | | ___ \/ 6 3*\/ 2 |
- 2*atan|-1 + ----- - \/ 3 + -------| + 2*atan|1 - \/ 3 - ----- + -------|
\ 2 2 / \ 2 2 /
$$- 2 \operatorname{atan}{\left(- \sqrt{3} - 1 + \frac{\sqrt{6}}{2} + \frac{3 \sqrt{2}}{2} \right)} + 2 \operatorname{atan}{\left(- \sqrt{3} - \frac{\sqrt{6}}{2} + 1 + \frac{3 \sqrt{2}}{2} \right)}$$
producto
/ ___ ___\ / ___ ___\
| \/ 6 ___ 3*\/ 2 | | ___ \/ 6 3*\/ 2 |
-2*atan|-1 + ----- - \/ 3 + -------|*2*atan|1 - \/ 3 - ----- + -------|
\ 2 2 / \ 2 2 /
$$- 2 \operatorname{atan}{\left(- \sqrt{3} - 1 + \frac{\sqrt{6}}{2} + \frac{3 \sqrt{2}}{2} \right)} 2 \operatorname{atan}{\left(- \sqrt{3} - \frac{\sqrt{6}}{2} + 1 + \frac{3 \sqrt{2}}{2} \right)}$$
=
/ ___ ___\ / ___ ___\
| ___ \/ 6 3*\/ 2 | | \/ 6 ___ 3*\/ 2 |
-4*atan|1 - \/ 3 - ----- + -------|*atan|-1 + ----- - \/ 3 + -------|
\ 2 2 / \ 2 2 /
$$- 4 \operatorname{atan}{\left(- \sqrt{3} - 1 + \frac{\sqrt{6}}{2} + \frac{3 \sqrt{2}}{2} \right)} \operatorname{atan}{\left(- \sqrt{3} - \frac{\sqrt{6}}{2} + 1 + \frac{3 \sqrt{2}}{2} \right)}$$
-4*atan(1 - sqrt(3) - sqrt(6)/2 + 3*sqrt(2)/2)*atan(-1 + sqrt(6)/2 - sqrt(3) + 3*sqrt(2)/2)
Respuesta numérica
[src]
x1 = 1250.68000382103
x2 = -82.7827300589346
x3 = -18.5234282292492
x4 = -37.3729841507879
x5 = -100.204837222584
x6 = 6.60931299946917
x7 = 30.314605470298
x8 = 99.4296438492734
x9 = 80.5800879277347
x10 = -251.001284594894
x11 = -24.8066135364288
x12 = 74.2969026205551
x13 = -13.6676916799591
x14 = 61.7305320061959
x15 = 68.0137173133755
x16 = 75.7243513784446
x17 = 11.4650495487592
x18 = 69.441166071265
x19 = -38.8004329086775
x20 = -62.5057253795063
x21 = -31.0897988436083
x22 = -5.95705761489
x23 = -32.5172476014979
x24 = 19.1756836138283
x25 = 125.989833835881
x26 = 36.5977907774776
x27 = -63.9331741373958
x28 = -12.2402429220696
x29 = 42.8809760846572
x30 = 19269.4280160542
x31 = -51.3668035230366
x32 = 0.326127692289585
x33 = -45.0836182158571
x34 = -76.499544751755
x35 = -101.632285980473
x36 = 12.8924983066488
x37 = -57.6499888302162
x38 = 44.3084248425467
x39 = 56.8747954569059
x40 = -68.7889106866859
x41 = -7.38450637277953
x42 = 49.1641613918367
x43 = 93.1464585420939
x44 = -87.6384666082246
x45 = 63.1579807640855
x46 = 24.0314201631184
x47 = 86.8632732349143
x48 = 5.18186424157964
x49 = 25.4588689210079
x50 = -89.0659153661142
x51 = -26.2340622943183
x52 = -43.6561694579675
x53 = -75.0720959938654
x54 = -1.10132106559995
x55 = -49.9393547651471
x56 = 31.7420542281875
x57 = 55.4473466990163
x58 = -19.9508769871387
x59 = -93.9216519154042
x60 = 88.2907219928038
x61 = 50.5916101497263
x62 = 38.0252395353671
x63 = -81.355281301045
x64 = 17.7482348559388
x65 = -56.2225400723267
x66 = -95.3491006732937
x67 = 94.5739072999834
x68 = 82.0075366856242
x69 = -70.2163594445754
x69 = -70.2163594445754