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- La ecuación:
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Ecuación (x-3)*(x+2)=0
-
Ecuación z^2-6*z+10=0
-
Ecuación 4/(x-4)=-5
-
Ecuación (x-6)^2=-24*x
- Expresar {x} en función de y en la ecuación:
- -7*x-13*y=5
- 15*x+1*y=19
- 7*x-1*y=-7
- -14*x-12*y=5
- Gráfico de la función y =:
- 2cos(x)-1
-
Expresiones idénticas
- sin2(x)-sin(x)=2cos(x)- uno
- seno de 2(x) menos seno de (x) es igual a 2 coseno de (x) menos 1
- seno de 2(x) menos seno de (x) es igual a 2 coseno de (x) menos uno
- sin2x-sinx=2cosx-1
-
Expresiones semejantes
- (tanx+2)(cosx-1)=0
- (sin^2(x)-sin(x))/lg(cos(x))=0
- sin(2*x)-sin(x)=0
- -j^3*sin(2*x)-sin(x)+sin(22*x)-cos(2*x)+2=o
- sqrt(2*cos(x))-1=0
- 2*sin(2*x)-sin(x)*sqrt(2*ctg(x))=1
- sin2(x)+sin(x)=2cos(x)-1
- sin2(x)-sin(x)=2cos(x)+1
- 15*cos(x)^(2)-2*cos(x)-1=0
- sin2(x)-sinx=2cosx-1
-
Expresiones con funciones
- Seno sin
- sin(x)=(-1)/sqrt(2)
- sin(x)=-5/2
- sin((pi*x)/4)=1
- sin(2*x)-sin(x)=0
- sin(x)=-1/3
sin2(x)-sin(x)=2cos(x)-1 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
2 sin (x) - sin(x) = 2*cos(x) - 1
$$\sin^{2}{\left(x \right)} - \sin{\left(x \right)} = 2 \cos{\left(x \right)} - 1$$
Respuesta rápida
[src]
/ / __________________________________________________________________________________________________________________________________\\ / / __________________________________________________________________________________________________________________________________\\
| | / _______________ || | | / _______________ ||
| | / / ______ || | | / / ______ ||
| | / 22 / 4 \/ 1299 2 2 || | | / 22 / 4 \/ 1299 2 2 ||
| | / - -- - 2*3 / -- + -------- - ---------------------------------------------------------------------- + ----------------------- || | | / - -- - 2*3 / -- + -------- - ---------------------------------------------------------------------- + ----------------------- ||
| | _________________________________________________________ / 9 \/ 27 243 _________________________________________________________ _______________ || | | _________________________________________________________ / 9 \/ 27 243 _________________________________________________________ _______________ ||
| | / _______________ / / _______________ / ______ || | | / _______________ / / _______________ / ______ ||
| | / / ______ / / / ______ / 4 \/ 1299 || | | / / ______ / / / ______ / 4 \/ 1299 ||
| | / 11 / 4 \/ 1299 2 / / 11 / 4 \/ 1299 2 27*3 / -- + -------- || | | / 11 / 4 \/ 1299 2 / / 11 / 4 \/ 1299 2 27*3 / -- + -------- ||
| | / - -- + 2*3 / -- + -------- - ----------------------- / 27* / - -- + 2*3 / -- + -------- - ----------------------- \/ 27 243 || | | / - -- + 2*3 / -- + -------- - ----------------------- / 27* / - -- + 2*3 / -- + -------- - ----------------------- \/ 27 243 ||
| | / 9 \/ 27 243 _______________ / / 9 \/ 27 243 _______________ || | | / 9 \/ 27 243 _______________ / / 9 \/ 27 243 _______________ ||
| | / / ______ / / / ______ || | | / / ______ / / / ______ ||
| | / / 4 \/ 1299 / / / 4 \/ 1299 || | | / / 4 \/ 1299 / / / 4 \/ 1299 ||
| | / 27*3 / -- + -------- / / 27*3 / -- + -------- || | | / 27*3 / -- + -------- / / 27*3 / -- + -------- ||
| | 1 \/ \/ 27 243 \/ \/ \/ 27 243 || | | 1 \/ \/ 27 243 \/ \/ \/ 27 243 ||
x1 = - 2*re|atan|- - + ------------------------------------------------------------------- + -------------------------------------------------------------------------------------------------------------------------------------------------|| - 2*I*im|atan|- - + ------------------------------------------------------------------- + -------------------------------------------------------------------------------------------------------------------------------------------------||
\ \ 6 2 2 // \ \ 6 2 2 //
$$x_{1} = - 2 \operatorname{re}{\left(\operatorname{atan}{\left(- \frac{1}{6} + \frac{\sqrt{- \frac{11}{9} - \frac{2}{27 \sqrt[3]{\frac{4}{27} + \frac{\sqrt{1299}}{243}}} + 2 \sqrt[3]{\frac{4}{27} + \frac{\sqrt{1299}}{243}}}}{2} + \frac{\sqrt{- \frac{2}{27 \sqrt{- \frac{11}{9} - \frac{2}{27 \sqrt[3]{\frac{4}{27} + \frac{\sqrt{1299}}{243}}} + 2 \sqrt[3]{\frac{4}{27} + \frac{\sqrt{1299}}{243}}}} - \frac{22}{9} - 2 \sqrt[3]{\frac{4}{27} + \frac{\sqrt{1299}}{243}} + \frac{2}{27 \sqrt[3]{\frac{4}{27} + \frac{\sqrt{1299}}{243}}}}}{2} \right)}\right)} - 2 i \operatorname{im}{\left(\operatorname{atan}{\left(- \frac{1}{6} + \frac{\sqrt{- \frac{11}{9} - \frac{2}{27 \sqrt[3]{\frac{4}{27} + \frac{\sqrt{1299}}{243}}} + 2 \sqrt[3]{\frac{4}{27} + \frac{\sqrt{1299}}{243}}}}{2} + \frac{\sqrt{- \frac{2}{27 \sqrt{- \frac{11}{9} - \frac{2}{27 \sqrt[3]{\frac{4}{27} + \frac{\sqrt{1299}}{243}}} + 2 \sqrt[3]{\frac{4}{27} + \frac{\sqrt{1299}}{243}}}} - \frac{22}{9} - 2 \sqrt[3]{\frac{4}{27} + \frac{\sqrt{1299}}{243}} + \frac{2}{27 \sqrt[3]{\frac{4}{27} + \frac{\sqrt{1299}}{243}}}}}{2} \right)}\right)}$$
/ / __________________________________________________________________________________________________________________________________ \\ / / __________________________________________________________________________________________________________________________________ \\
| | / _______________ || | | / _______________ ||
| | / / ______ || | | / / ______ ||
| | / 22 / 4 \/ 1299 2 2 || | | / 22 / 4 \/ 1299 2 2 ||
| | / - -- - 2*3 / -- + -------- - ---------------------------------------------------------------------- + ----------------------- || | | / - -- - 2*3 / -- + -------- - ---------------------------------------------------------------------- + ----------------------- ||
| | / 9 \/ 27 243 _________________________________________________________ _______________ _________________________________________________________|| | | / 9 \/ 27 243 _________________________________________________________ _______________ _________________________________________________________||
| | / / _______________ / ______ / _______________ || | | / / _______________ / ______ / _______________ ||
| | / / / ______ / 4 \/ 1299 / / ______ || | | / / / ______ / 4 \/ 1299 / / ______ ||
| | / / 11 / 4 \/ 1299 2 27*3 / -- + -------- / 11 / 4 \/ 1299 2 || | | / / 11 / 4 \/ 1299 2 27*3 / -- + -------- / 11 / 4 \/ 1299 2 ||
| | / 27* / - -- + 2*3 / -- + -------- - ----------------------- \/ 27 243 / - -- + 2*3 / -- + -------- - ----------------------- || | | / 27* / - -- + 2*3 / -- + -------- - ----------------------- \/ 27 243 / - -- + 2*3 / -- + -------- - ----------------------- ||
| | / / 9 \/ 27 243 _______________ / 9 \/ 27 243 _______________ || | | / / 9 \/ 27 243 _______________ / 9 \/ 27 243 _______________ ||
| | / / / ______ / / ______ || | | / / / ______ / / ______ ||
| | / / / 4 \/ 1299 / / 4 \/ 1299 || | | / / / 4 \/ 1299 / / 4 \/ 1299 ||
| | / / 27*3 / -- + -------- / 27*3 / -- + -------- || | | / / 27*3 / -- + -------- / 27*3 / -- + -------- ||
| |1 \/ \/ \/ 27 243 \/ \/ 27 243 || | |1 \/ \/ \/ 27 243 \/ \/ 27 243 ||
x2 = 2*re|atan|- + ------------------------------------------------------------------------------------------------------------------------------------------------- - -------------------------------------------------------------------|| + 2*I*im|atan|- + ------------------------------------------------------------------------------------------------------------------------------------------------- - -------------------------------------------------------------------||
\ \6 2 2 // \ \6 2 2 //
$$x_{2} = 2 \operatorname{re}{\left(\operatorname{atan}{\left(- \frac{\sqrt{- \frac{11}{9} - \frac{2}{27 \sqrt[3]{\frac{4}{27} + \frac{\sqrt{1299}}{243}}} + 2 \sqrt[3]{\frac{4}{27} + \frac{\sqrt{1299}}{243}}}}{2} + \frac{1}{6} + \frac{\sqrt{- \frac{2}{27 \sqrt{- \frac{11}{9} - \frac{2}{27 \sqrt[3]{\frac{4}{27} + \frac{\sqrt{1299}}{243}}} + 2 \sqrt[3]{\frac{4}{27} + \frac{\sqrt{1299}}{243}}}} - \frac{22}{9} - 2 \sqrt[3]{\frac{4}{27} + \frac{\sqrt{1299}}{243}} + \frac{2}{27 \sqrt[3]{\frac{4}{27} + \frac{\sqrt{1299}}{243}}}}}{2} \right)}\right)} + 2 i \operatorname{im}{\left(\operatorname{atan}{\left(- \frac{\sqrt{- \frac{11}{9} - \frac{2}{27 \sqrt[3]{\frac{4}{27} + \frac{\sqrt{1299}}{243}}} + 2 \sqrt[3]{\frac{4}{27} + \frac{\sqrt{1299}}{243}}}}{2} + \frac{1}{6} + \frac{\sqrt{- \frac{2}{27 \sqrt{- \frac{11}{9} - \frac{2}{27 \sqrt[3]{\frac{4}{27} + \frac{\sqrt{1299}}{243}}} + 2 \sqrt[3]{\frac{4}{27} + \frac{\sqrt{1299}}{243}}}} - \frac{22}{9} - 2 \sqrt[3]{\frac{4}{27} + \frac{\sqrt{1299}}{243}} + \frac{2}{27 \sqrt[3]{\frac{4}{27} + \frac{\sqrt{1299}}{243}}}}}{2} \right)}\right)}$$
/ __________________________________________________________________________________________________________________________________\
| / _______________ |
| / / ______ |
| / 22 / 4 \/ 1299 2 2 |
| / - -- - 2*3 / -- + -------- + ----------------------- + ---------------------------------------------------------------------- |
| _________________________________________________________ / 9 \/ 27 243 _______________ _________________________________________________________ |
| / _______________ / / ______ / _______________ |
| / / ______ / / 4 \/ 1299 / / ______ |
| / 11 / 4 \/ 1299 2 / 27*3 / -- + -------- / 11 / 4 \/ 1299 2 |
| / - -- + 2*3 / -- + -------- - ----------------------- / \/ 27 243 27* / - -- + 2*3 / -- + -------- - ----------------------- |
| / 9 \/ 27 243 _______________ / / 9 \/ 27 243 _______________ |
| / / ______ / / / ______ |
| / / 4 \/ 1299 / / / 4 \/ 1299 |
| / 27*3 / -- + -------- / / 27*3 / -- + -------- |
|1 \/ \/ 27 243 \/ \/ \/ 27 243 |
x3 = 2*atan|- + ------------------------------------------------------------------- + -------------------------------------------------------------------------------------------------------------------------------------------------|
\6 2 2 /
$$x_{3} = 2 \operatorname{atan}{\left(\frac{\sqrt{- \frac{11}{9} - \frac{2}{27 \sqrt[3]{\frac{4}{27} + \frac{\sqrt{1299}}{243}}} + 2 \sqrt[3]{\frac{4}{27} + \frac{\sqrt{1299}}{243}}}}{2} + \frac{1}{6} + \frac{\sqrt{- \frac{22}{9} - 2 \sqrt[3]{\frac{4}{27} + \frac{\sqrt{1299}}{243}} + \frac{2}{27 \sqrt[3]{\frac{4}{27} + \frac{\sqrt{1299}}{243}}} + \frac{2}{27 \sqrt{- \frac{11}{9} - \frac{2}{27 \sqrt[3]{\frac{4}{27} + \frac{\sqrt{1299}}{243}}} + 2 \sqrt[3]{\frac{4}{27} + \frac{\sqrt{1299}}{243}}}}}}{2} \right)}$$
/ __________________________________________________________________________________________________________________________________\
| / _______________ |
| / / ______ |
| / 22 / 4 \/ 1299 2 2 |
| / - -- - 2*3 / -- + -------- + ----------------------- + ---------------------------------------------------------------------- |
| _________________________________________________________ / 9 \/ 27 243 _______________ _________________________________________________________ |
| / _______________ / / ______ / _______________ |
| / / ______ / / 4 \/ 1299 / / ______ |
| / 11 / 4 \/ 1299 2 / 27*3 / -- + -------- / 11 / 4 \/ 1299 2 |
| / - -- + 2*3 / -- + -------- - ----------------------- / \/ 27 243 27* / - -- + 2*3 / -- + -------- - ----------------------- |
| / 9 \/ 27 243 _______________ / / 9 \/ 27 243 _______________ |
| / / ______ / / / ______ |
| / / 4 \/ 1299 / / / 4 \/ 1299 |
| / 27*3 / -- + -------- / / 27*3 / -- + -------- |
|1 \/ \/ 27 243 \/ \/ \/ 27 243 |
x4 = 2*atan|- + ------------------------------------------------------------------- - -------------------------------------------------------------------------------------------------------------------------------------------------|
\6 2 2 /
$$x_{4} = 2 \operatorname{atan}{\left(- \frac{\sqrt{- \frac{22}{9} - 2 \sqrt[3]{\frac{4}{27} + \frac{\sqrt{1299}}{243}} + \frac{2}{27 \sqrt[3]{\frac{4}{27} + \frac{\sqrt{1299}}{243}}} + \frac{2}{27 \sqrt{- \frac{11}{9} - \frac{2}{27 \sqrt[3]{\frac{4}{27} + \frac{\sqrt{1299}}{243}}} + 2 \sqrt[3]{\frac{4}{27} + \frac{\sqrt{1299}}{243}}}}}}{2} + \frac{\sqrt{- \frac{11}{9} - \frac{2}{27 \sqrt[3]{\frac{4}{27} + \frac{\sqrt{1299}}{243}}} + 2 \sqrt[3]{\frac{4}{27} + \frac{\sqrt{1299}}{243}}}}{2} + \frac{1}{6} \right)}$$
x4 = 2*atan(-sqrt(-22/9 - 2*(4/27 + sqrt(1299)/243)^(1/3) + 2/(27*(4/27 + sqrt(1299)/243)^(1/3)) + 2/(27*sqrt(-11/9 - 2/(27*(4/27 + sqrt(1299)/243)^(1/3)) + 2*(4/27 + sqrt(1299)/243)^(1/3))))/2 + sqrt(-11/9 - 2/(27*(4/27 + sqrt(1299)/243)^(1/3)) + 2*(4/27 + sqrt(1299)/243)^(1/3))/2 + 1/6)
Respuesta numérica
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x1 = 1.10194069645862
x2 = -13.0833817091224
x3 = 49.7484713626735
x4 = 7.3851260036382
x5 = -31.9329376306611
x6 = -61.7299123753372
x7 = -93.1458389112352
x8 = 43.4652860554939
x9 = 38.8010525395361
x10 = 95.3497203041524
x11 = 68.5980272842123
x12 = -6.80019640194277
x13 = -99.4290242184148
x14 = -68.0130976825168
x15 = -57.0656788593795
x16 = 37.1821007483143
x17 = -30.3139858394393
x18 = 100.01395382011
x19 = 70.2169790754341
x20 = -80.579468296876
x21 = 62.3148419770327
x22 = 32.5178672323566
x23 = 81.1643978985714
x24 = 12.049359519596
x25 = 20218.7733074091
x26 = 82.7833496897932
x27 = -82.1984200880978
x28 = 74.8812125913918
x29 = -32074.5590524553
x30 = 18.3325448267756
x31 = 63.9337937682545
x32 = 30.8989154411347
x33 = 45.0842378467157
x34 = -11.4644299179006
x35 = -0.517011094763188
x36 = 87.447583205751
x37 = 26.234681925177
x38 = 56.0316566698531
x39 = 13.6683113108178
x40 = 24.6157301339552
x41 = -86.8626536040556
x42 = -63.3488641665591
x43 = -88.4816053952774
x44 = -24.0308005322597
x45 = -5.18124461072097
x46 = -17.7476152250801
x47 = 93.7307685129306
x48 = -94.764790702457
x49 = -69.6320494737386
x50 = 5974.79221603302
x51 = -50.7824935521999
x52 = -75.9152347809182
x53 = -36.5971711466189
x54 = -42.8803564537985
x55 = 57.6506084610749
x56 = -49.1635417609781
x57 = -55.4467270681577
x58 = 51.3674231538953
x59 = -19.3665670163019
x60 = -25.6497523234815
x61 = -38.2161229378407
x62 = 89.0665349969728
x63 = 5.7661742124164
x64 = -44.4993082450203
x65 = 19.9514966179974
x66 = 338.774995492934
x67 = -74.2962829896964
x68 = 76.5001643826137
x68 = 76.5001643826137