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Ecuación x^4-x^3+5*x^2=0
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Ecuación (x-5)/2=2*(3x/7-1/2)/3
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Ecuación 9-2(-4x+7)=7
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Ecuación 3*x+5+(x+5)=(1-x)+4
- Expresar {x} en función de y en la ecuación:
- 7*x+13*y=-13
- -14*x-3*y=-5
- -8*x-12*y=15
- -6*x-1*y=14
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Expresiones idénticas
- sqrt(tres)/ dos -cos(x)- uno / dos *sin(x)= uno
- raíz cuadrada de (3) dividir por 2 menos coseno de (x) menos 1 dividir por 2 multiplicar por seno de (x) es igual a 1
- raíz cuadrada de (tres) dividir por dos menos 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
- sqrt3/2-cosx-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-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^3-4*x^2-10*x+29)=3-x
- sqrt(7-x)=x-1
- sqrt(3)cos(2x)-2cos(x)+4(cos(x))^3=0
- sqrt(2x-1)*(5x^2-4x-1)=0
- sqrt(x^2+1)
- Coseno cos
- cos(x)=-2
- cos(x)^(2)=3/4
- cosx-2cos(3x)+cos(5x)=0
- cosx/9=-1
- cos2x
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- sin(x)=1/4
- sin(x)=-1/4
- sinx=1/2
- sin(x)/x=0
- sinx=1/4
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]
___ \/ 3 sin(x) ----- - cos(x) - ------ = 1 2 2
$$\left(- \cos{\left(x \right)} + \frac{\sqrt{3}}{2}\right) - \frac{\sin{\left(x \right)}}{2} = 1$$
Respuesta rápida
[src]
/ ______________\
| ___ ___ / ___ |
|\/ 3 \/ 6 *\/ -1 + 2*\/ 3 |
x1 = 2*atan|----- + -----------------------|
\ 3 3 /
$$x_{1} = 2 \operatorname{atan}{\left(\frac{\sqrt{3}}{3} + \frac{\sqrt{6} \sqrt{-1 + 2 \sqrt{3}}}{3} \right)}$$
/ ______________\
| ___ ___ / ___ |
|\/ 3 \/ 6 *\/ -1 + 2*\/ 3 |
x2 = 2*atan|----- - -----------------------|
\ 3 3 /
$$x_{2} = 2 \operatorname{atan}{\left(- \frac{\sqrt{6} \sqrt{-1 + 2 \sqrt{3}}}{3} + \frac{\sqrt{3}}{3} \right)}$$
x2 = 2*atan(-sqrt(6)*sqrt(-1 + 2*sqrt(3))/3 + sqrt(3)/3)
Suma y producto de raíces
[src]
suma
/ ______________\ / ______________\
| ___ ___ / ___ | | ___ ___ / ___ |
|\/ 3 \/ 6 *\/ -1 + 2*\/ 3 | |\/ 3 \/ 6 *\/ -1 + 2*\/ 3 |
2*atan|----- + -----------------------| + 2*atan|----- - -----------------------|
\ 3 3 / \ 3 3 /
$$2 \operatorname{atan}{\left(- \frac{\sqrt{6} \sqrt{-1 + 2 \sqrt{3}}}{3} + \frac{\sqrt{3}}{3} \right)} + 2 \operatorname{atan}{\left(\frac{\sqrt{3}}{3} + \frac{\sqrt{6} \sqrt{-1 + 2 \sqrt{3}}}{3} \right)}$$
=
/ ______________\ / ______________\
| ___ ___ / ___ | | ___ ___ / ___ |
|\/ 3 \/ 6 *\/ -1 + 2*\/ 3 | |\/ 3 \/ 6 *\/ -1 + 2*\/ 3 |
2*atan|----- - -----------------------| + 2*atan|----- + -----------------------|
\ 3 3 / \ 3 3 /
$$2 \operatorname{atan}{\left(- \frac{\sqrt{6} \sqrt{-1 + 2 \sqrt{3}}}{3} + \frac{\sqrt{3}}{3} \right)} + 2 \operatorname{atan}{\left(\frac{\sqrt{3}}{3} + \frac{\sqrt{6} \sqrt{-1 + 2 \sqrt{3}}}{3} \right)}$$
producto
/ ______________\ / ______________\
| ___ ___ / ___ | | ___ ___ / ___ |
|\/ 3 \/ 6 *\/ -1 + 2*\/ 3 | |\/ 3 \/ 6 *\/ -1 + 2*\/ 3 |
2*atan|----- + -----------------------|*2*atan|----- - -----------------------|
\ 3 3 / \ 3 3 /
$$2 \operatorname{atan}{\left(\frac{\sqrt{3}}{3} + \frac{\sqrt{6} \sqrt{-1 + 2 \sqrt{3}}}{3} \right)} 2 \operatorname{atan}{\left(- \frac{\sqrt{6} \sqrt{-1 + 2 \sqrt{3}}}{3} + \frac{\sqrt{3}}{3} \right)}$$
=
/ ______________\ / ______________\
| ___ ___ / ___ | | ___ ___ / ___ |
|\/ 3 \/ 6 *\/ -1 + 2*\/ 3 | |\/ 3 \/ 6 *\/ -1 + 2*\/ 3 |
4*atan|----- - -----------------------|*atan|----- + -----------------------|
\ 3 3 / \ 3 3 /
$$4 \operatorname{atan}{\left(\frac{\sqrt{3}}{3} + \frac{\sqrt{6} \sqrt{-1 + 2 \sqrt{3}}}{3} \right)} \operatorname{atan}{\left(- \frac{\sqrt{6} \sqrt{-1 + 2 \sqrt{3}}}{3} + \frac{\sqrt{3}}{3} \right)}$$
4*atan(sqrt(3)/3 - sqrt(6)*sqrt(-1 + 2*sqrt(3))/3)*atan(sqrt(3)/3 + sqrt(6)*sqrt(-1 + 2*sqrt(3))/3)
Respuesta numérica
[src]
x1 = 21.004119029666
x2 = 99.3036970247478
x3 = 42.7550292601315
x4 = -22.9781781205911
x5 = -4.12862219905238
x6 = 2.15456310812721
x7 = 9335.58609857874
x8 = -48.1109193493095
x9 = 86.7373264103886
x10 = -13.7936385044848
x11 = -29.2613634277707
x12 = 5.05591741705399
x13 = 30.1886586457723
x14 = -64.0591209619215
x15 = -112083.588131669
x16 = 83.8359721014618
x17 = 58.7032308727435
x18 = -95.4750474978194
x19 = -60.6772899636687
x20 = -35.5445487349503
x21 = -76.6254915762806
x22 = -89.1918621906398
x23 = 61.6045851816703
x24 = 36.4718439529519
x25 = -98.3764018067462
x26 = 39.8536749512047
x27 = -16.6949928134116
x28 = 90.1191574086414
x29 = -85.810031192387
x30 = -51.4927503475623
x31 = -32.6431944260235
x32 = -101.758232804999
x33 = 14.7209337224864
x34 = 52.4200455655639
x35 = -41.8277340421299
x36 = 17.6222880314132
x37 = -265.121050791668
x38 = -82.9086768834602
x39 = -10.411807506232
x40 = -38.9263797332031
x41 = -20.0768238116644
x42 = -57.7759356547419
x43 = 67.8877704888499
x44 = -1.22726789012559
x45 = -26.3600091188439
x46 = 96.402342715821
x47 = -54.3941046564891
x48 = 64.9864161799231
x49 = 33.5704896440251
x50 = -45.2095650403827
x51 = 46.1368602583843
x52 = -70.342306269101
x53 = -7.51045319730518
x54 = -79.5268458852074
x55 = 55.3213998744907
x56 = 23.9054733385928
x57 = -92.0932164995666
x58 = 8.43774841530679
x59 = 27.2873043368456
x60 = -66.9604752708482
x61 = -73.2436605780278
x62 = 93.0205117175682
x63 = 49.0382145673111
x64 = 77.5527867942822
x65 = 80.454141103209
x66 = 74.1709557960294
x67 = 71.2696014871027
x68 = 11.3391027242336
x68 = 11.3391027242336