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- La ecuación:
-
Ecuación 12/(x+3)=-6/7
-
Ecuación (x-6)(4x-6)=0
-
Ecuación (x+7)^3=9*(x+7)
-
Ecuación z^2+z+1=0
- Expresar {x} en función de y en la ecuación:
- -6*x-20*y=8
- 7*x-1*y=0
- -9*x-1*y=6
- -2*x+2*y=4
-
Expresiones idénticas
- (cos(nueve)^o+isin(nueve)^o)^ diez
- ( coseno de (9) en el grado o más i seno de (9) en el grado o) en el grado 10
- ( coseno de (nueve) en el grado o más i seno de (nueve) en el grado o) en el grado diez
- (cos(9)o+isin(9)o)10
- cos9o+isin9o10
- cos9^o+isin9^o^10
-
Expresiones semejantes
- (cos(9)^o-isin(9)^o)^10
-
Expresiones con funciones
- Coseno cos
- cos(2*x)=-1/2
- cos(3*x)=1
- cos(x)=-3/2
- cos(x)=1/2
- cos(x)=4
(cos(9)^o+isin(9)^o)^10 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
10 / o o \ \cos (9) + I*sin (9)/ = 0
$$\left(i \sin^{o}{\left(9 \right)} + \cos^{o}{\left(9 \right)}\right)^{10} = 0$$
Gráfica
Suma y producto de raíces
[src]
suma
/ -1 \
2 2*pi*I*log|------|
2*pi \tan(9)/
- ---------------------- - ----------------------
2 2/ -1 \ 2 2/ -1 \
4*pi + 4*log |------| 4*pi + 4*log |------|
\tan(9)/ \tan(9)/
$$- \frac{2 \pi^{2}}{4 \log{\left(- \frac{1}{\tan{\left(9 \right)}} \right)}^{2} + 4 \pi^{2}} - \frac{2 i \pi \log{\left(- \frac{1}{\tan{\left(9 \right)}} \right)}}{4 \log{\left(- \frac{1}{\tan{\left(9 \right)}} \right)}^{2} + 4 \pi^{2}}$$
=
/ -1 \
2 2*pi*I*log|------|
2*pi \tan(9)/
- ---------------------- - ----------------------
2 2/ -1 \ 2 2/ -1 \
4*pi + 4*log |------| 4*pi + 4*log |------|
\tan(9)/ \tan(9)/
$$- \frac{2 \pi^{2}}{4 \log{\left(- \frac{1}{\tan{\left(9 \right)}} \right)}^{2} + 4 \pi^{2}} - \frac{2 i \pi \log{\left(- \frac{1}{\tan{\left(9 \right)}} \right)}}{4 \log{\left(- \frac{1}{\tan{\left(9 \right)}} \right)}^{2} + 4 \pi^{2}}$$
producto
/ -1 \
2 2*pi*I*log|------|
2*pi \tan(9)/
- ---------------------- - ----------------------
2 2/ -1 \ 2 2/ -1 \
4*pi + 4*log |------| 4*pi + 4*log |------|
\tan(9)/ \tan(9)/
$$- \frac{2 \pi^{2}}{4 \log{\left(- \frac{1}{\tan{\left(9 \right)}} \right)}^{2} + 4 \pi^{2}} - \frac{2 i \pi \log{\left(- \frac{1}{\tan{\left(9 \right)}} \right)}}{4 \log{\left(- \frac{1}{\tan{\left(9 \right)}} \right)}^{2} + 4 \pi^{2}}$$
=
/ / -1 \\
-pi*|pi + I*log|------||
\ \tan(9)//
-------------------------
2 2/ -1 \
2*pi + 2*log |------|
\tan(9)/
$$- \frac{\pi \left(\pi + i \log{\left(- \frac{1}{\tan{\left(9 \right)}} \right)}\right)}{2 \log{\left(- \frac{1}{\tan{\left(9 \right)}} \right)}^{2} + 2 \pi^{2}}$$
-pi*(pi + i*log(-1/tan(9)))/(2*pi^2 + 2*log(-1/tan(9))^2)
Respuesta rápida
[src]
/ -1 \
2 2*pi*I*log|------|
2*pi \tan(9)/
o1 = - ---------------------- - ----------------------
2 2/ -1 \ 2 2/ -1 \
4*pi + 4*log |------| 4*pi + 4*log |------|
\tan(9)/ \tan(9)/
$$o_{1} = - \frac{2 \pi^{2}}{4 \log{\left(- \frac{1}{\tan{\left(9 \right)}} \right)}^{2} + 4 \pi^{2}} - \frac{2 i \pi \log{\left(- \frac{1}{\tan{\left(9 \right)}} \right)}}{4 \log{\left(- \frac{1}{\tan{\left(9 \right)}} \right)}^{2} + 4 \pi^{2}}$$
o1 = -2*pi^2/(4*log(-1/tan(9))^2 + 4*pi^2) - 2*i*pi*log(-1/tan(9))/(4*log(-1/tan(9))^2 + 4*pi^2)
Respuesta numérica
[src]
o1 = 64.1734319167709 + 0.744408377977363*i
o2 = 78.1734319167709 + 0.744408377977363*i
o3 = 92.1734319167709 + 0.744408377977363*i
o4 = 98.1734319167709 + 0.744408377977363*i
o5 = 84.1734319167709 + 0.744408377977363*i
o6 = 8.17094760888663 + 0.749611637796863*i
o7 = 94.1734319167709 + 0.744408377977363*i
o8 = 42.1734319167709 + 0.744408377977372*i
o9 = 58.1734319167709 + 0.744408377977363*i
o10 = 90.1734319167709 + 0.744408377977363*i
o11 = 48.1734319167709 + 0.744408377977363*i
o12 = 26.1734319152281 + 0.744408381213599*i
o13 = 74.1734319167709 + 0.744408377977363*i
o14 = 82.1734319167709 + 0.744408377977363*i
o15 = 36.1734319167703 + 0.744408377978523*i
o16 = 86.1734319167709 + 0.744408377977363*i
o17 = 38.1734319167708 + 0.7444083779776*i
o18 = 54.1734319167709 + 0.744408377977363*i
o19 = 96.1734319167709 + 0.744408377977363*i
o20 = 100.173431916771 + 0.744408377977363*i
o21 = 6.1607307672549 + 0.770852939651105*i
o22 = 32.1734319167577 + 0.744408378005076*i
o23 = 12.173329036445 + 0.744624167967084*i
o24 = 76.1734319167709 + 0.744408377977363*i
o25 = 70.1734319167709 + 0.744408377977363*i
o26 = 46.1734319167709 + 0.744408377977363*i
o27 = 28.1734319164552 + 0.744408378639462*i
o28 = 24.1734319092299 + 0.744408393795559*i
o29 = 14.1734108762964 + 0.744452512280628*i
o30 = 66.1734319167709 + 0.744408377977363*i
o31 = 50.1734319167709 + 0.744408377977363*i
o32 = 30.1734319167063 + 0.744408378112821*i
o33 = 44.1734319167709 + 0.744408377977365*i
o34 = 34.1734319167682 + 0.744408377983032*i
o35 = 88.1734319167709 + 0.744408377977363*i
o36 = 68.1734319167709 + 0.744408377977363*i
o37 = 52.1734319167709 + 0.744408377977363*i
o38 = 10.1729281465398 + 0.74546476953163*i
o39 = 72.1734319167709 + 0.744408377977363*i
o40 = 62.1734319167709 + 0.744408377977363*i
o41 = 40.1734319167709 + 0.744408377977411*i
o42 = 56.1734319167709 + 0.744408377977363*i
o43 = 22.1734318799116 + 0.744408455294145*i
o44 = 80.1734319167709 + 0.744408377977363*i
o45 = 60.1734319167709 + 0.744408377977363*i
o46 = 16.1734276124361 + 0.744417406802521*i
o47 = 18.173431036163 + 0.744410225155182*i
o48 = 4.09244442357116 + 0.90954936663447*i
o49 = 20.1734317366084 + 0.744408755889437*i
o49 = 20.1734317366084 + 0.744408755889437*i