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- La ecuación:
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Ecuación |x^2-1|-|x-3|=7
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Ecuación 2^2-x-1=x^2-5*x-(-1-x^2)
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Ecuación x^4=(4*x-21)^2
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Ecuación x^2+9=(x+9)^2
- Expresar {x} en función de y en la ecuación:
- 15*x+15*y=16
- -13*x+9*y=1
- -18*x-1*y=-11
- 4*x-7*y=12
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Expresiones idénticas
- sinx+(cosx/ dos -sinx/ dos)(cox/ dos +sinx/ dos)= cero
- seno de x más ( coseno de x dividir por 2 menos seno de x dividir por 2)(cox dividir por 2 más seno de x dividir por 2) es igual a 0
- seno de x más ( coseno de x dividir por dos menos seno de x dividir por dos)(cox dividir por dos más seno de x dividir por dos) es igual a cero
- sinx+cosx/2-sinx/2cox/2+sinx/2=0
- sinx+(cosx/2-sinx/2)(cox/2+sinx/2)=O
- sinx+(cosx dividir por 2-sinx dividir por 2)(cox dividir por 2+sinx dividir por 2)=0
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Expresiones semejantes
- sinx-(cosx/2-sinx/2)(cox/2+sinx/2)=0
- sinx+(cosx/2+sinx/2)(cox/2+sinx/2)=0
- sinx+(cosx/2-sinx/2)(cox/2-sinx/2)=0
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Expresiones con funciones
- sinx
- sinx-cosx=1/2
- sinx-cosx=0
- sinx*cosx-2cosx=0
- sinx=1/2
- sinx=1/4
- cosx
- cosx×(1-cosx)=0
- cosx-sinx+x-1=0
- Cosx4-cos2x=1
- cosx=1/3
- cosx/7=-1
- sinx
- sinx-cosx=1/2
- sinx-cosx=0
- sinx*cosx-2cosx=0
- sinx=1/2
- sinx=1/4
- cox
- cox(x)=-1/2
- sinx
- sinx-cosx=1/2
- sinx-cosx=0
- sinx*cosx-2cosx=0
- sinx=1/2
- sinx=1/4
sinx+(cosx/2-sinx/2)(cox/2+sinx/2)=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
/cos(x) sin(x)\ /cos(x) sin(x)\
sin(x) + |------ - ------|*|------ + ------| = 0
\ 2 2 / \ 2 2 /
$$\left(- \frac{\sin{\left(x \right)}}{2} + \frac{\cos{\left(x \right)}}{2}\right) \left(\frac{\sin{\left(x \right)}}{2} + \frac{\cos{\left(x \right)}}{2}\right) + \sin{\left(x \right)} = 0$$
Respuesta rápida
[src]
/ / _____________\\ / / _____________\\
| | ___ / ___ || | | ___ / ___ ||
x1 = 2*re\atan\-2 + \/ 6 + \/ 9 - 4*\/ 6 // + 2*I*im\atan\-2 + \/ 6 + \/ 9 - 4*\/ 6 //
$$x_{1} = 2 \operatorname{re}{\left(\operatorname{atan}{\left(-2 + \sqrt{6} + \sqrt{9 - 4 \sqrt{6}} \right)}\right)} + 2 i \operatorname{im}{\left(\operatorname{atan}{\left(-2 + \sqrt{6} + \sqrt{9 - 4 \sqrt{6}} \right)}\right)}$$
/ _____________\
| ___ / ___ |
x2 = -2*atan\2 + \/ 6 + \/ 9 + 4*\/ 6 /
$$x_{2} = - 2 \operatorname{atan}{\left(2 + \sqrt{6} + \sqrt{9 + 4 \sqrt{6}} \right)}$$
/ / _____________ \\ / / _____________ \\
| | / ___ ___|| | | / ___ ___||
x3 = - 2*re\atan\2 + \/ 9 - 4*\/ 6 - \/ 6 // - 2*I*im\atan\2 + \/ 9 - 4*\/ 6 - \/ 6 //
$$x_{3} = - 2 \operatorname{re}{\left(\operatorname{atan}{\left(- \sqrt{6} + 2 + \sqrt{9 - 4 \sqrt{6}} \right)}\right)} - 2 i \operatorname{im}{\left(\operatorname{atan}{\left(- \sqrt{6} + 2 + \sqrt{9 - 4 \sqrt{6}} \right)}\right)}$$
/ _____________\
| ___ / ___ |
x4 = -2*atan\2 + \/ 6 - \/ 9 + 4*\/ 6 /
$$x_{4} = - 2 \operatorname{atan}{\left(- \sqrt{9 + 4 \sqrt{6}} + 2 + \sqrt{6} \right)}$$
x4 = -2*atan(-sqrt(9 + 4*sqrt(6)) + 2 + sqrt(6))
Suma y producto de raíces
[src]
suma
/ / _____________\\ / / _____________\\ / _____________\ / / _____________ \\ / / _____________ \\ / _____________\
| | ___ / ___ || | | ___ / ___ || | ___ / ___ | | | / ___ ___|| | | / ___ ___|| | ___ / ___ |
2*re\atan\-2 + \/ 6 + \/ 9 - 4*\/ 6 // + 2*I*im\atan\-2 + \/ 6 + \/ 9 - 4*\/ 6 // - 2*atan\2 + \/ 6 + \/ 9 + 4*\/ 6 / + - 2*re\atan\2 + \/ 9 - 4*\/ 6 - \/ 6 // - 2*I*im\atan\2 + \/ 9 - 4*\/ 6 - \/ 6 // - 2*atan\2 + \/ 6 - \/ 9 + 4*\/ 6 /
$$- 2 \operatorname{atan}{\left(- \sqrt{9 + 4 \sqrt{6}} + 2 + \sqrt{6} \right)} + \left(\left(- 2 \operatorname{re}{\left(\operatorname{atan}{\left(- \sqrt{6} + 2 + \sqrt{9 - 4 \sqrt{6}} \right)}\right)} - 2 i \operatorname{im}{\left(\operatorname{atan}{\left(- \sqrt{6} + 2 + \sqrt{9 - 4 \sqrt{6}} \right)}\right)}\right) + \left(- 2 \operatorname{atan}{\left(2 + \sqrt{6} + \sqrt{9 + 4 \sqrt{6}} \right)} + \left(2 \operatorname{re}{\left(\operatorname{atan}{\left(-2 + \sqrt{6} + \sqrt{9 - 4 \sqrt{6}} \right)}\right)} + 2 i \operatorname{im}{\left(\operatorname{atan}{\left(-2 + \sqrt{6} + \sqrt{9 - 4 \sqrt{6}} \right)}\right)}\right)\right)\right)$$
=
/ _____________\ / _____________\ / / _____________ \\ / / _____________\\ / / _____________ \\ / / _____________\\
| ___ / ___ | | ___ / ___ | | | / ___ ___|| | | ___ / ___ || | | / ___ ___|| | | ___ / ___ ||
- 2*atan\2 + \/ 6 + \/ 9 + 4*\/ 6 / - 2*atan\2 + \/ 6 - \/ 9 + 4*\/ 6 / - 2*re\atan\2 + \/ 9 - 4*\/ 6 - \/ 6 // + 2*re\atan\-2 + \/ 6 + \/ 9 - 4*\/ 6 // - 2*I*im\atan\2 + \/ 9 - 4*\/ 6 - \/ 6 // + 2*I*im\atan\-2 + \/ 6 + \/ 9 - 4*\/ 6 //
$$- 2 \operatorname{atan}{\left(2 + \sqrt{6} + \sqrt{9 + 4 \sqrt{6}} \right)} - 2 \operatorname{atan}{\left(- \sqrt{9 + 4 \sqrt{6}} + 2 + \sqrt{6} \right)} - 2 \operatorname{re}{\left(\operatorname{atan}{\left(- \sqrt{6} + 2 + \sqrt{9 - 4 \sqrt{6}} \right)}\right)} + 2 \operatorname{re}{\left(\operatorname{atan}{\left(-2 + \sqrt{6} + \sqrt{9 - 4 \sqrt{6}} \right)}\right)} - 2 i \operatorname{im}{\left(\operatorname{atan}{\left(- \sqrt{6} + 2 + \sqrt{9 - 4 \sqrt{6}} \right)}\right)} + 2 i \operatorname{im}{\left(\operatorname{atan}{\left(-2 + \sqrt{6} + \sqrt{9 - 4 \sqrt{6}} \right)}\right)}$$
producto
/ / / _____________\\ / / _____________\\\ / _____________\ / / / _____________ \\ / / _____________ \\\ / _____________\ | | | ___ / ___ || | | ___ / ___ ||| | ___ / ___ | | | | / ___ ___|| | | / ___ ___||| | ___ / ___ | \2*re\atan\-2 + \/ 6 + \/ 9 - 4*\/ 6 // + 2*I*im\atan\-2 + \/ 6 + \/ 9 - 4*\/ 6 ///*-2*atan\2 + \/ 6 + \/ 9 + 4*\/ 6 /*\- 2*re\atan\2 + \/ 9 - 4*\/ 6 - \/ 6 // - 2*I*im\atan\2 + \/ 9 - 4*\/ 6 - \/ 6 ///*-2*atan\2 + \/ 6 - \/ 9 + 4*\/ 6 /
$$\left(2 \operatorname{re}{\left(\operatorname{atan}{\left(-2 + \sqrt{6} + \sqrt{9 - 4 \sqrt{6}} \right)}\right)} + 2 i \operatorname{im}{\left(\operatorname{atan}{\left(-2 + \sqrt{6} + \sqrt{9 - 4 \sqrt{6}} \right)}\right)}\right) \left(- 2 \operatorname{atan}{\left(2 + \sqrt{6} + \sqrt{9 + 4 \sqrt{6}} \right)}\right) \left(- 2 \operatorname{re}{\left(\operatorname{atan}{\left(- \sqrt{6} + 2 + \sqrt{9 - 4 \sqrt{6}} \right)}\right)} - 2 i \operatorname{im}{\left(\operatorname{atan}{\left(- \sqrt{6} + 2 + \sqrt{9 - 4 \sqrt{6}} \right)}\right)}\right) \left(- 2 \operatorname{atan}{\left(- \sqrt{9 + 4 \sqrt{6}} + 2 + \sqrt{6} \right)}\right)$$
=
/ / / _____________\\ / / _____________\\\ / / / _____________ \\ / / _____________ \\\ / _____________\ / _____________\
| | | ___ / ___ || | | ___ / ___ ||| | | | / ___ ___|| | | / ___ ___||| | ___ / ___ | | ___ / ___ |
-16*\I*im\atan\-2 + \/ 6 + \/ 9 - 4*\/ 6 // + re\atan\-2 + \/ 6 + \/ 9 - 4*\/ 6 ///*\I*im\atan\2 + \/ 9 - 4*\/ 6 - \/ 6 // + re\atan\2 + \/ 9 - 4*\/ 6 - \/ 6 ///*atan\2 + \/ 6 + \/ 9 + 4*\/ 6 /*atan\2 + \/ 6 - \/ 9 + 4*\/ 6 /
$$- 16 \left(\operatorname{re}{\left(\operatorname{atan}{\left(-2 + \sqrt{6} + \sqrt{9 - 4 \sqrt{6}} \right)}\right)} + i \operatorname{im}{\left(\operatorname{atan}{\left(-2 + \sqrt{6} + \sqrt{9 - 4 \sqrt{6}} \right)}\right)}\right) \left(\operatorname{re}{\left(\operatorname{atan}{\left(- \sqrt{6} + 2 + \sqrt{9 - 4 \sqrt{6}} \right)}\right)} + i \operatorname{im}{\left(\operatorname{atan}{\left(- \sqrt{6} + 2 + \sqrt{9 - 4 \sqrt{6}} \right)}\right)}\right) \operatorname{atan}{\left(2 + \sqrt{6} + \sqrt{9 + 4 \sqrt{6}} \right)} \operatorname{atan}{\left(- \sqrt{9 + 4 \sqrt{6}} + 2 + \sqrt{6} \right)}$$
-16*(i*im(atan(-2 + sqrt(6) + sqrt(9 - 4*sqrt(6)))) + re(atan(-2 + sqrt(6) + sqrt(9 - 4*sqrt(6)))))*(i*im(atan(2 + sqrt(9 - 4*sqrt(6)) - sqrt(6))) + re(atan(2 + sqrt(9 - 4*sqrt(6)) - sqrt(6))))*atan(2 + sqrt(6) + sqrt(9 + 4*sqrt(6)))*atan(2 + sqrt(6) - sqrt(9 + 4*sqrt(6)))
Respuesta numérica
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x1 = 50.0388012559213
x2 = 37.4724306415621
x3 = -9.198096759254
x4 = 18.6228747200234
x5 = 100.304283713358
x6 = -81.90809019485
x7 = 81.4547277918193
x8 = 68.8883571774601
x9 = -56.7753489661317
x10 = 41.0673856981827
x11 = 91.3328681556194
x12 = -100.757646116389
x13 = -31.6426077374133
x14 = -779.341659291784
x15 = -75.6249048876704
x16 = 28.5010150838235
x17 = -72.0299498310499
x18 = -25.3594224302337
x19 = -21.7644673736132
x20 = -46.8972086023315
x21 = -84.596320445409
x22 = 94.0210984061784
x23 = -63.0585342733112
x24 = -69.3417195804908
x25 = -2.91491145207442
x26 = 15.9346444694643
x27 = 6.05650410566421
x28 = -50.4921636589521
x29 = 24.906060027203
x30 = -94.4744608092092
x31 = -40.6140232951519
x32 = 66.200126926901
x33 = -90.8795057525886
x34 = -97.1626910597682
x35 = 62.6051718702805
x36 = -88.1912755020296
x37 = 78.7664975412602
x38 = 97.616053462799
x39 = -28.0476526807928
x40 = 53.6337563125419
x41 = -6.50986650869496
x42 = -19.0762371230541
x43 = -78.3131351382295
x44 = 34.7842003910031
x45 = 59.9169416197214
x46 = -37.9257930445929
x47 = 129.031979998697
x48 = 31.1892453343826
x49 = -107.040831423568
x50 = -65.7467645238703
x51 = 22.2178297766439
x52 = 85.0496828484398
x53 = 72.4833122340806
x54 = 12.3396894128438
x55 = 9.65145916228476
x56 = 43.7556159487417
x57 = -15.4812820664336
x58 = -0.226681201515378
x59 = 56.3219865631009
x60 = -59.4635792166907
x61 = -44.2089783517725
x62 = 75.1715424846397
x63 = -12.7930518158746
x64 = -53.1803939095111
x65 = -34.3308379879723
x66 = 3.36827385510517
x67 = 87.7379130989988
x68 = 47.3505710053623
x69 = 131.720210249256
x69 = 131.720210249256