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- La ecuación:
-
Ecuación x^2+5x=36
-
Ecuación 3*x=8
-
Ecuación (x-87)-27=36
- Ecuación (x^2-16)^2+(x^2+x-20)^2=0
- 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
-
Expresiones idénticas
- cosx* diez . seis =(seis . cuatro *cosx)/sinx+ cero . nueve
- coseno de x multiplicar por 10.6 es igual a (6.04 multiplicar por coseno de x) dividir por seno de x más 0.9
- coseno de x multiplicar por diez . seis es igual a (seis . cuatro multiplicar por coseno de x) dividir por seno de x más cero . nueve
- cosx10.6=(6.04cosx)/sinx+0.9
- cosx10.6=6.04cosx/sinx+0.9
- cosx*10.6=(6.04*cosx) dividir por sinx+0.9
-
Expresiones semejantes
- cosx*10.6=(6.04*cosx)/sinx-0.9
-
Expresiones con funciones
- cosx
- cosx=p/2
- cosx=10
- cosx+Csinx=0
- cosx=√2÷2
- cosx=-√3:2
- cosx
- cosx=p/2
- cosx=10
- cosx+Csinx=0
- cosx=√2÷2
- cosx=-√3:2
- sinx
- sinx+tgx=sin2x
- sinx=(2)/2
- sinx=1sinx=4
- sinx^2-0.5*cosx-1=0
- sinx*cosx-cosa=0
cosx*10.6=(6.04*cosx)/sinx+0.9 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
/151*cos(x)\
|----------|
cos(x)*53 \ 25 / 9
--------- = ------------ + --
5 sin(x) 10
$$\frac{53 \cos{\left(x \right)}}{5} = \frac{9}{10} + \frac{\frac{151}{25} \cos{\left(x \right)}}{\sin{\left(x \right)}}$$
Respuesta rápida
[src]
/ / __________________________________________________________________________________________________________________________________________________________________________________________________\\ / / __________________________________________________________________________________________________________________________________________________________________________________________________\\
| | / __________________________________ || | | / __________________________________ ||
| | ___ / 101641495 18892214 3 / _________________ || | | ___ / 101641495 18892214 3 / _________________ ||
| | \/ 2 * / 330625 - --------------------------------------------------------------------------------------------------- - ------------------------------------- - 302*\/ -7202700 + I*\/ 192930315832693 || | | \/ 2 * / 330625 - --------------------------------------------------------------------------------------------------- - ------------------------------------- - 302*\/ -7202700 + I*\/ 192930315832693 ||
| | ____________________________________________________________________________________________ / ____________________________________________________________________________________________ __________________________________ || | | ____________________________________________________________________________________________ / ____________________________________________________________________________________________ __________________________________ ||
| | / __________________________________ / / __________________________________ 3 / _________________ || | | / __________________________________ / / __________________________________ 3 / _________________ ||
| | / 3 / _________________ 37784428 / / 3 / _________________ 37784428 \/ -7202700 + I*\/ 192930315832693 || | | / 3 / _________________ 37784428 / / 3 / _________________ 37784428 \/ -7202700 + I*\/ 192930315832693 ||
| | / 330625 + 604*\/ -7202700 + I*\/ 192930315832693 + ------------------------------------- / / 330625 + 604*\/ -7202700 + I*\/ 192930315832693 + ------------------------------------- || | | / 330625 + 604*\/ -7202700 + I*\/ 192930315832693 + ------------------------------------- / / 330625 + 604*\/ -7202700 + I*\/ 192930315832693 + ------------------------------------- ||
| | / __________________________________ / / __________________________________ || | | / __________________________________ / / __________________________________ ||
| | / 3 / _________________ / / 3 / _________________ || | | / 3 / _________________ / / 3 / _________________ ||
| | 575 \/ \/ -7202700 + I*\/ 192930315832693 \/ \/ \/ -7202700 + I*\/ 192930315832693 || | | 575 \/ \/ -7202700 + I*\/ 192930315832693 \/ \/ \/ -7202700 + I*\/ 192930315832693 ||
x1 = - 2*re|atan|- --- + --------------------------------------------------------------------------------------------------- + -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|| - 2*I*im|atan|- --- + --------------------------------------------------------------------------------------------------- + -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------||
\ \ 604 604 604 // \ \ 604 604 604 //
$$x_{1} = - 2 \operatorname{re}{\left(\operatorname{atan}{\left(- \frac{575}{604} + \frac{\sqrt{330625 + \frac{37784428}{\sqrt[3]{-7202700 + \sqrt{192930315832693} i}} + 604 \sqrt[3]{-7202700 + \sqrt{192930315832693} i}}}{604} + \frac{\sqrt{2} \sqrt{330625 - 302 \sqrt[3]{-7202700 + \sqrt{192930315832693} i} - \frac{101641495}{\sqrt{330625 + \frac{37784428}{\sqrt[3]{-7202700 + \sqrt{192930315832693} i}} + 604 \sqrt[3]{-7202700 + \sqrt{192930315832693} i}}} - \frac{18892214}{\sqrt[3]{-7202700 + \sqrt{192930315832693} i}}}}{604} \right)}\right)} - 2 i \operatorname{im}{\left(\operatorname{atan}{\left(- \frac{575}{604} + \frac{\sqrt{330625 + \frac{37784428}{\sqrt[3]{-7202700 + \sqrt{192930315832693} i}} + 604 \sqrt[3]{-7202700 + \sqrt{192930315832693} i}}}{604} + \frac{\sqrt{2} \sqrt{330625 - 302 \sqrt[3]{-7202700 + \sqrt{192930315832693} i} - \frac{101641495}{\sqrt{330625 + \frac{37784428}{\sqrt[3]{-7202700 + \sqrt{192930315832693} i}} + 604 \sqrt[3]{-7202700 + \sqrt{192930315832693} i}}} - \frac{18892214}{\sqrt[3]{-7202700 + \sqrt{192930315832693} i}}}}{604} \right)}\right)}$$
/ / __________________________________________________________________________________________________________________________________________________________________________________________________\\ / / __________________________________________________________________________________________________________________________________________________________________________________________________\\
| | / __________________________________ || | | / __________________________________ ||
| | ___ / 18892214 3 / _________________ 101641495 || | | ___ / 18892214 3 / _________________ 101641495 ||
| | \/ 2 * / 330625 - ------------------------------------- - 302*\/ -7202700 + I*\/ 192930315832693 + --------------------------------------------------------------------------------------------------- || | | \/ 2 * / 330625 - ------------------------------------- - 302*\/ -7202700 + I*\/ 192930315832693 + --------------------------------------------------------------------------------------------------- ||
| | ____________________________________________________________________________________________ / __________________________________ ____________________________________________________________________________________________ || | | ____________________________________________________________________________________________ / __________________________________ ____________________________________________________________________________________________ ||
| | / __________________________________ / 3 / _________________ / __________________________________ || | | / __________________________________ / 3 / _________________ / __________________________________ ||
| | / 3 / _________________ 37784428 / \/ -7202700 + I*\/ 192930315832693 / 3 / _________________ 37784428 || | | / 3 / _________________ 37784428 / \/ -7202700 + I*\/ 192930315832693 / 3 / _________________ 37784428 ||
| | / 330625 + 604*\/ -7202700 + I*\/ 192930315832693 + ------------------------------------- / / 330625 + 604*\/ -7202700 + I*\/ 192930315832693 + ------------------------------------- || | | / 330625 + 604*\/ -7202700 + I*\/ 192930315832693 + ------------------------------------- / / 330625 + 604*\/ -7202700 + I*\/ 192930315832693 + ------------------------------------- ||
| | / __________________________________ / / __________________________________ || | | / __________________________________ / / __________________________________ ||
| | / 3 / _________________ / / 3 / _________________ || | | / 3 / _________________ / / 3 / _________________ ||
| |575 \/ \/ -7202700 + I*\/ 192930315832693 \/ \/ \/ -7202700 + I*\/ 192930315832693 || | |575 \/ \/ -7202700 + I*\/ 192930315832693 \/ \/ \/ -7202700 + I*\/ 192930315832693 ||
x2 = 2*re|atan|--- + --------------------------------------------------------------------------------------------------- - -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|| + 2*I*im|atan|--- + --------------------------------------------------------------------------------------------------- - -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------||
\ \604 604 604 // \ \604 604 604 //
$$x_{2} = 2 \operatorname{re}{\left(\operatorname{atan}{\left(\frac{575}{604} - \frac{\sqrt{2} \sqrt{330625 - 302 \sqrt[3]{-7202700 + \sqrt{192930315832693} i} + \frac{101641495}{\sqrt{330625 + \frac{37784428}{\sqrt[3]{-7202700 + \sqrt{192930315832693} i}} + 604 \sqrt[3]{-7202700 + \sqrt{192930315832693} i}}} - \frac{18892214}{\sqrt[3]{-7202700 + \sqrt{192930315832693} i}}}}{604} + \frac{\sqrt{330625 + \frac{37784428}{\sqrt[3]{-7202700 + \sqrt{192930315832693} i}} + 604 \sqrt[3]{-7202700 + \sqrt{192930315832693} i}}}{604} \right)}\right)} + 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{575}{604} - \frac{\sqrt{2} \sqrt{330625 - 302 \sqrt[3]{-7202700 + \sqrt{192930315832693} i} + \frac{101641495}{\sqrt{330625 + \frac{37784428}{\sqrt[3]{-7202700 + \sqrt{192930315832693} i}} + 604 \sqrt[3]{-7202700 + \sqrt{192930315832693} i}}} - \frac{18892214}{\sqrt[3]{-7202700 + \sqrt{192930315832693} i}}}}{604} + \frac{\sqrt{330625 + \frac{37784428}{\sqrt[3]{-7202700 + \sqrt{192930315832693} i}} + 604 \sqrt[3]{-7202700 + \sqrt{192930315832693} i}}}{604} \right)}\right)}$$
/ / __________________________________________________________________________________________________________________________________________________________________________________________________\\ / / __________________________________________________________________________________________________________________________________________________________________________________________________\\
| | / __________________________________ || | | / __________________________________ ||
| | ___ / 101641495 18892214 3 / _________________ || | | ___ / 101641495 18892214 3 / _________________ ||
| | \/ 2 * / 330625 - --------------------------------------------------------------------------------------------------- - ------------------------------------- - 302*\/ -7202700 + I*\/ 192930315832693 || | | \/ 2 * / 330625 - --------------------------------------------------------------------------------------------------- - ------------------------------------- - 302*\/ -7202700 + I*\/ 192930315832693 ||
| | ____________________________________________________________________________________________ / ____________________________________________________________________________________________ __________________________________ || | | ____________________________________________________________________________________________ / ____________________________________________________________________________________________ __________________________________ ||
| | / __________________________________ / / __________________________________ 3 / _________________ || | | / __________________________________ / / __________________________________ 3 / _________________ ||
| | / 3 / _________________ 37784428 / / 3 / _________________ 37784428 \/ -7202700 + I*\/ 192930315832693 || | | / 3 / _________________ 37784428 / / 3 / _________________ 37784428 \/ -7202700 + I*\/ 192930315832693 ||
| | / 330625 + 604*\/ -7202700 + I*\/ 192930315832693 + ------------------------------------- / / 330625 + 604*\/ -7202700 + I*\/ 192930315832693 + ------------------------------------- || | | / 330625 + 604*\/ -7202700 + I*\/ 192930315832693 + ------------------------------------- / / 330625 + 604*\/ -7202700 + I*\/ 192930315832693 + ------------------------------------- ||
| | / __________________________________ / / __________________________________ || | | / __________________________________ / / __________________________________ ||
| | / 3 / _________________ / / 3 / _________________ || | | / 3 / _________________ / / 3 / _________________ ||
| |575 \/ \/ -7202700 + I*\/ 192930315832693 \/ \/ \/ -7202700 + I*\/ 192930315832693 || | |575 \/ \/ -7202700 + I*\/ 192930315832693 \/ \/ \/ -7202700 + I*\/ 192930315832693 ||
x3 = 2*re|atan|--- - --------------------------------------------------------------------------------------------------- + -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|| + 2*I*im|atan|--- - --------------------------------------------------------------------------------------------------- + -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------||
\ \604 604 604 // \ \604 604 604 //
$$x_{3} = 2 \operatorname{re}{\left(\operatorname{atan}{\left(\frac{575}{604} - \frac{\sqrt{330625 + \frac{37784428}{\sqrt[3]{-7202700 + \sqrt{192930315832693} i}} + 604 \sqrt[3]{-7202700 + \sqrt{192930315832693} i}}}{604} + \frac{\sqrt{2} \sqrt{330625 - 302 \sqrt[3]{-7202700 + \sqrt{192930315832693} i} - \frac{101641495}{\sqrt{330625 + \frac{37784428}{\sqrt[3]{-7202700 + \sqrt{192930315832693} i}} + 604 \sqrt[3]{-7202700 + \sqrt{192930315832693} i}}} - \frac{18892214}{\sqrt[3]{-7202700 + \sqrt{192930315832693} i}}}}{604} \right)}\right)} + 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{575}{604} - \frac{\sqrt{330625 + \frac{37784428}{\sqrt[3]{-7202700 + \sqrt{192930315832693} i}} + 604 \sqrt[3]{-7202700 + \sqrt{192930315832693} i}}}{604} + \frac{\sqrt{2} \sqrt{330625 - 302 \sqrt[3]{-7202700 + \sqrt{192930315832693} i} - \frac{101641495}{\sqrt{330625 + \frac{37784428}{\sqrt[3]{-7202700 + \sqrt{192930315832693} i}} + 604 \sqrt[3]{-7202700 + \sqrt{192930315832693} i}}} - \frac{18892214}{\sqrt[3]{-7202700 + \sqrt{192930315832693} i}}}}{604} \right)}\right)}$$
/ __________________________________________________________________________________________________________________________________________________________________________________________________\
| / __________________________________ |
| ___ / 18892214 3 / _________________ 101641495 |
| \/ 2 * / 330625 - ------------------------------------- - 302*\/ -7202700 + I*\/ 192930315832693 + --------------------------------------------------------------------------------------------------- |
| ____________________________________________________________________________________________ / __________________________________ ____________________________________________________________________________________________ |
| / __________________________________ / 3 / _________________ / __________________________________ |
| / 3 / _________________ 37784428 / \/ -7202700 + I*\/ 192930315832693 / 3 / _________________ 37784428 |
| / 330625 + 604*\/ -7202700 + I*\/ 192930315832693 + ------------------------------------- / / 330625 + 604*\/ -7202700 + I*\/ 192930315832693 + ------------------------------------- |
| / __________________________________ / / __________________________________ |
| / 3 / _________________ / / 3 / _________________ |
|575 \/ \/ -7202700 + I*\/ 192930315832693 \/ \/ \/ -7202700 + I*\/ 192930315832693 |
x4 = 2*atan|--- + --------------------------------------------------------------------------------------------------- + -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
\604 604 604 /
$$x_{4} = 2 \operatorname{atan}{\left(\frac{575}{604} + \frac{\sqrt{330625 + \frac{37784428}{\sqrt[3]{-7202700 + \sqrt{192930315832693} i}} + 604 \sqrt[3]{-7202700 + \sqrt{192930315832693} i}}}{604} + \frac{\sqrt{2} \sqrt{330625 - 302 \sqrt[3]{-7202700 + \sqrt{192930315832693} i} + \frac{101641495}{\sqrt{330625 + \frac{37784428}{\sqrt[3]{-7202700 + \sqrt{192930315832693} i}} + 604 \sqrt[3]{-7202700 + \sqrt{192930315832693} i}}} - \frac{18892214}{\sqrt[3]{-7202700 + \sqrt{192930315832693} i}}}}{604} \right)}$$
x4 = 2*atan(575/604 + sqrt(330625 + 37784428/(-7202700 + sqrt(192930315832693)*i)^(1/3) + 604*(-7202700 + sqrt(192930315832693)*i)^(1/3))/604 + sqrt(2)*sqrt(330625 - 302*(-7202700 + sqrt(192930315832693)*i)^(1/3) + 101641495/sqrt(330625 + 37784428/(-7202700 + sqrt(192930315832693)*i)^(1/3) + 604*(-7202700 + sqrt(192930315832693)*i)^(1/3)) - 18892214/(-7202700 + sqrt(192930315832693)*i)^(1/3))/604)
Respuesta numérica
[src]
x1 = -16.2528803386897
x2 = 67.5983262206293
x3 = 76.0935734793141
x4 = 11.049658456013
x5 = -45.4990093086032
x6 = 71.7117139618245
x7 = 4.76647314883345
x8 = 99.0142527565273
x9 = -3.68650972433057
x10 = 55.0319556062701
x11 = 6.97853510033863
x12 = -91.6511040248448
x13 = -30.0496470999701
x14 = 86.4478821421681
x15 = 44.6776469434161
x16 = -1.51671215834613
x17 = 38.3944616362366
x18 = -93.5524298145347
x19 = 17.3328437631926
x20 = 96.8444551905428
x21 = -60.2351774889468
x22 = 61.3151409134497
x23 = -70.6317505373216
x24 = -39.2158240014237
x25 = -58.0653799229624
x26 = -26.6494533870645
x27 = -17.4832764856109
x28 = -32.9326386942441
x29 = -36.3328324071497
x30 = -20.3662680798849
x31 = 73.8815115278089
x32 = 95.6140590436217
x33 = -64.348565230142
x34 = -51.7821946157828
x35 = 57.9149472005441
x36 = -97.9342893320244
x37 = -23.7664617927905
x38 = 27.7294168115674
x39 = 84.2780845761836
x40 = 80.1646968349885
x41 = 42.465584991911
x42 = 20.2158353574666
x43 = 48.7487702990906
x44 = -83.1981211516808
x45 = 32.111276329057
x46 = -47.6688068745877
x47 = -5.58783551402054
x48 = -99.8356151217143
x49 = -74.0319442502272
x50 = 7.64946474310745
x51 = -86.5983148645863
x52 = -89.4813064588603
x53 = -43.2869473570981
x54 = -49.5701326642777
x55 = 29.8992143775518
x56 = 70.4813178149033
x57 = 36.1823996847314
x58 = -95.7644917660399
x59 = -53.9519921817673
x60 = -76.9149358445012
x61 = -67.7487589430476
x62 = 13.932650050287
x63 = -11.8710208212001
x64 = 64.1981325077237
x65 = -80.3151295574068
x66 = 82.3767587864937
x67 = -42.6160177143292
x68 = -55.8533179714572
x69 = 88.6599440936733
x70 = -9.96969503151015
x71 = -14.0830827727053
x72 = -61.465573635868
x73 = 34.012602118747
x74 = 92.7310674493477
x75 = 40.2957874259265
x76 = -7.79989746552572
x77 = -87.2692445073552
x78 = 23.6160290703722
x79 = 51.6317618933646
x80 = 77.9948992690041
x81 = 0.695349793159044
x81 = 0.695349793159044