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- La ecuación:
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Ecuación 8*x=2
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Ecuación 3^x=81
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Ecuación x^2=12
-
Ecuación -27x+220=-5x
- Expresar {x} en función de y en la ecuación:
- 4*x-1*y=-3
- -11*x+9*y=-20
- 9*x+17*y=13
- -17*x+2*y=9
- Derivada de:
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-1
- Límite de la función:
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-1
- Forma canónica:
- -1
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Expresiones idénticas
- dos cos^ tres (x)-2sin^2(x)=- uno
- 2 coseno de al cubo (x) menos 2 seno de al cuadrado (x) es igual a menos 1
- dos coseno de en el grado tres (x) menos 2 seno de al cuadrado (x) es igual a menos uno
- 2cos3(x)-2sin2(x)=-1
- 2cos3x-2sin2x=-1
- 2cos³(x)-2sin²(x)=-1
- 2cos en el grado 3(x)-2sin en el grado 2(x)=-1
- 2cos^3x-2sin^2x=-1
-
Expresiones semejantes
- 2cos^3(x)-2sin^2(x)=+1
- 2cos^3(x)+2sin^2(x)=-1
2cos^3(x)-2sin^2(x)=-1 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
3 2 2*cos (x) - 2*sin (x) = -1
$$- 2 \sin^{2}{\left(x \right)} + 2 \cos^{3}{\left(x \right)} = -1$$
Respuesta rápida
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/ / 6 4 2 \\ x1 = 2*atan\CRootOf\x - x + 11*x - 3, 0//
$$x_{1} = 2 \operatorname{atan}{\left(\operatorname{CRootOf} {\left(x^{6} - x^{4} + 11 x^{2} - 3, 0\right)} \right)}$$
/ / 6 4 2 \\ x2 = 2*atan\CRootOf\x - x + 11*x - 3, 1//
$$x_{2} = 2 \operatorname{atan}{\left(\operatorname{CRootOf} {\left(x^{6} - x^{4} + 11 x^{2} - 3, 1\right)} \right)}$$
/ / / 6 4 2 \\\ / / / 6 4 2 \\\ x3 = 2*re\atan\CRootOf\x - x + 11*x - 3, 2/// + 2*I*im\atan\CRootOf\x - x + 11*x - 3, 2///
$$x_{3} = 2 \operatorname{re}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(x^{6} - x^{4} + 11 x^{2} - 3, 2\right)} \right)}\right)} + 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(x^{6} - x^{4} + 11 x^{2} - 3, 2\right)} \right)}\right)}$$
/ / / 6 4 2 \\\ / / / 6 4 2 \\\ x4 = 2*re\atan\CRootOf\x - x + 11*x - 3, 3/// + 2*I*im\atan\CRootOf\x - x + 11*x - 3, 3///
$$x_{4} = 2 \operatorname{re}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(x^{6} - x^{4} + 11 x^{2} - 3, 3\right)} \right)}\right)} + 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(x^{6} - x^{4} + 11 x^{2} - 3, 3\right)} \right)}\right)}$$
/ / / 6 4 2 \\\ / / / 6 4 2 \\\ x5 = 2*re\atan\CRootOf\x - x + 11*x - 3, 4/// + 2*I*im\atan\CRootOf\x - x + 11*x - 3, 4///
$$x_{5} = 2 \operatorname{re}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(x^{6} - x^{4} + 11 x^{2} - 3, 4\right)} \right)}\right)} + 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(x^{6} - x^{4} + 11 x^{2} - 3, 4\right)} \right)}\right)}$$
/ / / 6 4 2 \\\ / / / 6 4 2 \\\ x6 = 2*re\atan\CRootOf\x - x + 11*x - 3, 5/// + 2*I*im\atan\CRootOf\x - x + 11*x - 3, 5///
$$x_{6} = 2 \operatorname{re}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(x^{6} - x^{4} + 11 x^{2} - 3, 5\right)} \right)}\right)} + 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(x^{6} - x^{4} + 11 x^{2} - 3, 5\right)} \right)}\right)}$$
Eq(x6, 2*re(atan(CRootOf(x^6 - x^4 + 11*x^2 - 3, 5))) + 2*i*im(atan(CRootOf(x^6 - x^4 + 11*x^2 - 3, 5))))
Suma y producto de raíces
[src]
suma
/ / 6 4 2 \\ / / 6 4 2 \\ / / / 6 4 2 \\\ / / / 6 4 2 \\\ / / / 6 4 2 \\\ / / / 6 4 2 \\\ / / / 6 4 2 \\\ / / / 6 4 2 \\\ / / / 6 4 2 \\\ / / / 6 4 2 \\\ 2*atan\CRootOf\x - x + 11*x - 3, 0// + 2*atan\CRootOf\x - x + 11*x - 3, 1// + 2*re\atan\CRootOf\x - x + 11*x - 3, 2/// + 2*I*im\atan\CRootOf\x - x + 11*x - 3, 2/// + 2*re\atan\CRootOf\x - x + 11*x - 3, 3/// + 2*I*im\atan\CRootOf\x - x + 11*x - 3, 3/// + 2*re\atan\CRootOf\x - x + 11*x - 3, 4/// + 2*I*im\atan\CRootOf\x - x + 11*x - 3, 4/// + 2*re\atan\CRootOf\x - x + 11*x - 3, 5/// + 2*I*im\atan\CRootOf\x - x + 11*x - 3, 5///
$$\left(\left(\left(\left(2 \operatorname{atan}{\left(\operatorname{CRootOf} {\left(x^{6} - x^{4} + 11 x^{2} - 3, 0\right)} \right)} + 2 \operatorname{atan}{\left(\operatorname{CRootOf} {\left(x^{6} - x^{4} + 11 x^{2} - 3, 1\right)} \right)}\right) + \left(2 \operatorname{re}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(x^{6} - x^{4} + 11 x^{2} - 3, 2\right)} \right)}\right)} + 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(x^{6} - x^{4} + 11 x^{2} - 3, 2\right)} \right)}\right)}\right)\right) + \left(2 \operatorname{re}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(x^{6} - x^{4} + 11 x^{2} - 3, 3\right)} \right)}\right)} + 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(x^{6} - x^{4} + 11 x^{2} - 3, 3\right)} \right)}\right)}\right)\right) + \left(2 \operatorname{re}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(x^{6} - x^{4} + 11 x^{2} - 3, 4\right)} \right)}\right)} + 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(x^{6} - x^{4} + 11 x^{2} - 3, 4\right)} \right)}\right)}\right)\right) + \left(2 \operatorname{re}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(x^{6} - x^{4} + 11 x^{2} - 3, 5\right)} \right)}\right)} + 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(x^{6} - x^{4} + 11 x^{2} - 3, 5\right)} \right)}\right)}\right)$$
=
/ / 6 4 2 \\ / / 6 4 2 \\ / / / 6 4 2 \\\ / / / 6 4 2 \\\ / / / 6 4 2 \\\ / / / 6 4 2 \\\ / / / 6 4 2 \\\ / / / 6 4 2 \\\ / / / 6 4 2 \\\ / / / 6 4 2 \\\ 2*atan\CRootOf\x - x + 11*x - 3, 0// + 2*atan\CRootOf\x - x + 11*x - 3, 1// + 2*re\atan\CRootOf\x - x + 11*x - 3, 2/// + 2*re\atan\CRootOf\x - x + 11*x - 3, 3/// + 2*re\atan\CRootOf\x - x + 11*x - 3, 4/// + 2*re\atan\CRootOf\x - x + 11*x - 3, 5/// + 2*I*im\atan\CRootOf\x - x + 11*x - 3, 2/// + 2*I*im\atan\CRootOf\x - x + 11*x - 3, 3/// + 2*I*im\atan\CRootOf\x - x + 11*x - 3, 4/// + 2*I*im\atan\CRootOf\x - x + 11*x - 3, 5///
$$2 \operatorname{re}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(x^{6} - x^{4} + 11 x^{2} - 3, 2\right)} \right)}\right)} + 2 \operatorname{re}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(x^{6} - x^{4} + 11 x^{2} - 3, 3\right)} \right)}\right)} + 2 \operatorname{atan}{\left(\operatorname{CRootOf} {\left(x^{6} - x^{4} + 11 x^{2} - 3, 0\right)} \right)} + 2 \operatorname{atan}{\left(\operatorname{CRootOf} {\left(x^{6} - x^{4} + 11 x^{2} - 3, 1\right)} \right)} + 2 \operatorname{re}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(x^{6} - x^{4} + 11 x^{2} - 3, 4\right)} \right)}\right)} + 2 \operatorname{re}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(x^{6} - x^{4} + 11 x^{2} - 3, 5\right)} \right)}\right)} + 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(x^{6} - x^{4} + 11 x^{2} - 3, 2\right)} \right)}\right)} + 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(x^{6} - x^{4} + 11 x^{2} - 3, 4\right)} \right)}\right)} + 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(x^{6} - x^{4} + 11 x^{2} - 3, 3\right)} \right)}\right)} + 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(x^{6} - x^{4} + 11 x^{2} - 3, 5\right)} \right)}\right)}$$
producto
/ / 6 4 2 \\ / / 6 4 2 \\ / / / / 6 4 2 \\\ / / / 6 4 2 \\\\ / / / / 6 4 2 \\\ / / / 6 4 2 \\\\ / / / / 6 4 2 \\\ / / / 6 4 2 \\\\ / / / / 6 4 2 \\\ / / / 6 4 2 \\\\ 2*atan\CRootOf\x - x + 11*x - 3, 0//*2*atan\CRootOf\x - x + 11*x - 3, 1//*\2*re\atan\CRootOf\x - x + 11*x - 3, 2/// + 2*I*im\atan\CRootOf\x - x + 11*x - 3, 2////*\2*re\atan\CRootOf\x - x + 11*x - 3, 3/// + 2*I*im\atan\CRootOf\x - x + 11*x - 3, 3////*\2*re\atan\CRootOf\x - x + 11*x - 3, 4/// + 2*I*im\atan\CRootOf\x - x + 11*x - 3, 4////*\2*re\atan\CRootOf\x - x + 11*x - 3, 5/// + 2*I*im\atan\CRootOf\x - x + 11*x - 3, 5////
$$2 \operatorname{atan}{\left(\operatorname{CRootOf} {\left(x^{6} - x^{4} + 11 x^{2} - 3, 0\right)} \right)} 2 \operatorname{atan}{\left(\operatorname{CRootOf} {\left(x^{6} - x^{4} + 11 x^{2} - 3, 1\right)} \right)} \left(2 \operatorname{re}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(x^{6} - x^{4} + 11 x^{2} - 3, 2\right)} \right)}\right)} + 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(x^{6} - x^{4} + 11 x^{2} - 3, 2\right)} \right)}\right)}\right) \left(2 \operatorname{re}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(x^{6} - x^{4} + 11 x^{2} - 3, 3\right)} \right)}\right)} + 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(x^{6} - x^{4} + 11 x^{2} - 3, 3\right)} \right)}\right)}\right) \left(2 \operatorname{re}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(x^{6} - x^{4} + 11 x^{2} - 3, 4\right)} \right)}\right)} + 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(x^{6} - x^{4} + 11 x^{2} - 3, 4\right)} \right)}\right)}\right) \left(2 \operatorname{re}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(x^{6} - x^{4} + 11 x^{2} - 3, 5\right)} \right)}\right)} + 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(x^{6} - x^{4} + 11 x^{2} - 3, 5\right)} \right)}\right)}\right)$$
=
/ / / / 6 4 2 \\\ / / / 6 4 2 \\\\ / / / / 6 4 2 \\\ / / / 6 4 2 \\\\ / / / / 6 4 2 \\\ / / / 6 4 2 \\\\ / / / / 6 4 2 \\\ / / / 6 4 2 \\\\ / / 6 4 2 \\ / / 6 4 2 \\ 64*\I*im\atan\CRootOf\x - x + 11*x - 3, 2/// + re\atan\CRootOf\x - x + 11*x - 3, 2////*\I*im\atan\CRootOf\x - x + 11*x - 3, 3/// + re\atan\CRootOf\x - x + 11*x - 3, 3////*\I*im\atan\CRootOf\x - x + 11*x - 3, 4/// + re\atan\CRootOf\x - x + 11*x - 3, 4////*\I*im\atan\CRootOf\x - x + 11*x - 3, 5/// + re\atan\CRootOf\x - x + 11*x - 3, 5////*atan\CRootOf\x - x + 11*x - 3, 0//*atan\CRootOf\x - x + 11*x - 3, 1//
$$64 \left(\operatorname{re}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(x^{6} - x^{4} + 11 x^{2} - 3, 2\right)} \right)}\right)} + i \operatorname{im}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(x^{6} - x^{4} + 11 x^{2} - 3, 2\right)} \right)}\right)}\right) \left(\operatorname{re}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(x^{6} - x^{4} + 11 x^{2} - 3, 3\right)} \right)}\right)} + i \operatorname{im}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(x^{6} - x^{4} + 11 x^{2} - 3, 3\right)} \right)}\right)}\right) \left(\operatorname{re}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(x^{6} - x^{4} + 11 x^{2} - 3, 4\right)} \right)}\right)} + i \operatorname{im}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(x^{6} - x^{4} + 11 x^{2} - 3, 4\right)} \right)}\right)}\right) \left(\operatorname{re}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(x^{6} - x^{4} + 11 x^{2} - 3, 5\right)} \right)}\right)} + i \operatorname{im}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(x^{6} - x^{4} + 11 x^{2} - 3, 5\right)} \right)}\right)}\right) \operatorname{atan}{\left(\operatorname{CRootOf} {\left(x^{6} - x^{4} + 11 x^{2} - 3, 0\right)} \right)} \operatorname{atan}{\left(\operatorname{CRootOf} {\left(x^{6} - x^{4} + 11 x^{2} - 3, 1\right)} \right)}$$
64*(i*im(atan(CRootOf(x^6 - x^4 + 11*x^2 - 3, 2))) + re(atan(CRootOf(x^6 - x^4 + 11*x^2 - 3, 2))))*(i*im(atan(CRootOf(x^6 - x^4 + 11*x^2 - 3, 3))) + re(atan(CRootOf(x^6 - x^4 + 11*x^2 - 3, 3))))*(i*im(atan(CRootOf(x^6 - x^4 + 11*x^2 - 3, 4))) + re(atan(CRootOf(x^6 - x^4 + 11*x^2 - 3, 4))))*(i*im(atan(CRootOf(x^6 - x^4 + 11*x^2 - 3, 5))) + re(atan(CRootOf(x^6 - x^4 + 11*x^2 - 3, 5))))*atan(CRootOf(x^6 - x^4 + 11*x^2 - 3, 0))*atan(CRootOf(x^6 - x^4 + 11*x^2 - 3, 1))
Respuesta numérica
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x1 = 26.1028646512358
x2 = 30.4458031133805
x3 = -24.1626178062009
x4 = -19.8196793440562
x5 = -55.5785443420988
x6 = 61.8617296492784
x7 = -99.5608414923559
x8 = -70.0851618014929
x9 = 11.5962471918417
x10 = -32.3860499584154
x11 = 17.8794324990213
x12 = -101.501088337391
x13 = 74.4281002636376
x14 = -5.31306188466215
x15 = 63.8019764943133
x16 = 101.501088337391
x17 = -57.5187911871337
x18 = 38.669235265595
x19 = -13.5364940368766
x20 = -61.8617296492784
x21 = -49.2953590349193
x22 = -68.144914956458
x23 = -17.8794324990213
x24 = 32.3860499584154
x25 = 70.0851618014929
x26 = 68.144914956458
x27 = -220.881609173803
x28 = -26.1028646512358
x29 = 55.5785443420988
x30 = 82.6515324158521
x31 = -63.8019764943133
x32 = 24.1626178062009
x33 = 99.5608414923559
x34 = -76.3683471086725
x35 = -7.25330872969702
x36 = -93.2776561851764
x37 = -11.5962471918417
x38 = -86.9944708779968
x39 = 76.3683471086725
x40 = 7.25330872969702
x41 = 19.8196793440562
x41 = 19.8196793440562