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- La ecuación:
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Ecuación 5*x^2+2*x-7=0
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Ecuación x+120=40*5
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Ecuación y(0)=1
-
Ecuación x-2,4/6=x+0,6/11
- Expresar {x} en función de y en la ecuación:
- -18*x-8*y=-18
- -13*x+12*y=-19
- -1*x+11*y=-9
- 16*x-11*y=13
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Expresiones idénticas
- (novecientos veinticinco - diez mil ochocientos setenta y siete , uno * mil *(sin(tres , catorce *x/ veintiocho , noventa y ocho)-sin(- tres , catorce * veintisiete , seis / cincuenta y siete , noventa y seis))- mil doscientos setenta y seis , uno)/(dos mil setecientos setenta , tres - mil doscientos setenta y seis , uno)= cero
- (925 menos 10877,1 multiplicar por 1000 multiplicar por ( seno de (3,14 multiplicar por x dividir por 28,98) menos seno de ( menos 3,14 multiplicar por 27,6 dividir por 57,96)) menos 1276,1) dividir por (2770,3 menos 1276,1) es igual a 0
- (novecientos veinticinco menos diez mil ochocientos setenta y siete , uno multiplicar por mil multiplicar por ( seno de (tres , cotangente de angente de orce multiplicar por x dividir por veintiocho , noventa y ocho) menos seno de ( menos tres , cotangente de angente de orce multiplicar por veintisiete , seis dividir por cincuenta y siete , noventa y seis)) menos mil doscientos setenta y seis , uno) dividir por (dos mil setecientos setenta , tres menos mil doscientos setenta y seis , uno) es igual a cero
- (925-10877,11000(sin(3,14x/28,98)-sin(-3,1427,6/57,96))-1276,1)/(2770,3-1276,1)=0
- 925-10877,11000sin3,14x/28,98-sin-3,1427,6/57,96-1276,1/2770,3-1276,1=0
- (925-10877,1*1000*(sin(3,14*x/28,98)-sin(-3,14*27,6/57,96))-1276,1)/(2770,3-1276,1)=O
- (925-10877,1*1000*(sin(3,14*x dividir por 28,98)-sin(-3,14*27,6 dividir por 57,96))-1276,1) dividir por (2770,3-1276,1)=0
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Expresiones semejantes
- (925-10877,1*1000*(sin(3,14*x/28,98)+sin(-3,14*27,6/57,96))-1276,1)/(2770,3-1276,1)=0
- (925-10877,1*1000*(sin(3,14*x/28,98)-sin(3,14*27,6/57,96))-1276,1)/(2770,3-1276,1)=0
- (925-10877,1*1000*(sin(3,14*x/28,98)-sin(-3,14*27,6/57,96))+1276,1)/(2770,3-1276,1)=0
- (925+10877,1*1000*(sin(3,14*x/28,98)-sin(-3,14*27,6/57,96))-1276,1)/(2770,3-1276,1)=0
- (925-10877,1*1000*(sin(3,14*x/28,98)-sin(-3,14*27,6/57,96))-1276,1)/(2770,3+1276,1)=0
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Expresiones con funciones
- Seno sin
- sin(x)*sin(7x)=1
- sin(x)=x/8
- sin(x-pi/6)+1=0
- sin(7*x)=-1
- sinn/2+cosn+tg0
- Seno sin
- sin(x)*sin(7x)=1
- sin(x)=x/8
- sin(x-pi/6)+1=0
- sin(7*x)=-1
- sinn/2+cosn+tg0
(925-10877,1*1000*(sin(3,14*x/28,98)-sin(-3,14*27,6/57,96))-1276,1)/(2770,3-1276,1)=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
/ //157*x\\ //-157*138\\\
| ||-----|| ||--------|||
108771*1000 | |\ 50 /| |\ 50*5 /|| 12761
925 - -----------*|sin|-------| - sin|----------|| - -----
10 | | /1449\| | /1449\ || 10
| | |----|| | |----| ||
\ \ \ 50 // \ \ 25 / //
---------------------------------------------------------- = 0
27703 12761
----- - -----
10 10
$$\frac{\left(- \frac{1000 \cdot 108771}{10} \left(\sin{\left(\frac{\frac{157}{50} x}{\frac{1449}{50}} \right)} - \sin{\left(\frac{\left(-1\right) \frac{157}{50} \frac{138}{5}}{\frac{1449}{25}} \right)}\right) + 925\right) - \frac{12761}{10}}{- \frac{12761}{10} + \frac{27703}{10}} = 0$$
Solución detallada
Tenemos la ecuación
$$\frac{\left(- \frac{1000 \cdot 108771}{10} \left(\sin{\left(\frac{\frac{157}{50} x}{\frac{1449}{50}} \right)} - \sin{\left(\frac{\left(-1\right) \frac{157}{50} \frac{138}{5}}{\frac{1449}{25}} \right)}\right) + 925\right) - \frac{12761}{10}}{- \frac{12761}{10} + \frac{27703}{10}} = 0$$
es la ecuación trigonométrica más simple
Obtenemos:
$$\frac{\left(- \frac{1000 \cdot 108771}{10} \left(\sin{\left(\frac{\frac{157}{50} x}{\frac{1449}{50}} \right)} - \sin{\left(\frac{\left(-1\right) \frac{157}{50} \frac{138}{5}}{\frac{1449}{25}} \right)}\right) + 925\right) - \frac{12761}{10}}{- \frac{12761}{10} + \frac{27703}{10}} + \frac{3511}{14942} + \frac{54385500 \sin{\left(\frac{157}{105} \right)}}{7471} = \frac{3511}{14942} + \frac{54385500 \sin{\left(\frac{157}{105} \right)}}{7471}$$
La ecuación se convierte en
$$\sin{\left(\frac{157 x}{1449} \right)} = - \sin{\left(\frac{157}{105} \right)} - \frac{3511}{108771000}$$
Esta ecuación se reorganiza en
$$\frac{157 x}{1449} = 2 \pi n + \operatorname{asin}{\left(- \sin{\left(\frac{157}{105} \right)} - \frac{3511}{108771000} \right)}$$
$$\frac{157 x}{1449} = 2 \pi n - \operatorname{asin}{\left(- \sin{\left(\frac{157}{105} \right)} - \frac{3511}{108771000} \right)} + \pi$$
O
$$\frac{157 x}{1449} = 2 \pi n - \operatorname{asin}{\left(\frac{3511}{108771000} + \sin{\left(\frac{157}{105} \right)} \right)}$$
$$\frac{157 x}{1449} = 2 \pi n + \operatorname{asin}{\left(\frac{3511}{108771000} + \sin{\left(\frac{157}{105} \right)} \right)} + \pi$$
, donde n es cualquier número entero
Dividamos ambos miembros de la ecuación obtenida en
$$\frac{157}{1449}$$
obtenemos la respuesta:
$$x_{1} = \frac{2898 \pi n}{157} - \frac{1449 \operatorname{asin}{\left(\frac{3511}{108771000} + \sin{\left(\frac{157}{105} \right)} \right)}}{157}$$
$$x_{2} = \frac{2898 \pi n}{157} + \frac{1449 \operatorname{asin}{\left(\frac{3511}{108771000} + \sin{\left(\frac{157}{105} \right)} \right)}}{157} + \frac{1449 \pi}{157}$$
$$\frac{\left(- \frac{1000 \cdot 108771}{10} \left(\sin{\left(\frac{\frac{157}{50} x}{\frac{1449}{50}} \right)} - \sin{\left(\frac{\left(-1\right) \frac{157}{50} \frac{138}{5}}{\frac{1449}{25}} \right)}\right) + 925\right) - \frac{12761}{10}}{- \frac{12761}{10} + \frac{27703}{10}} = 0$$
es la ecuación trigonométrica más simple
Transportemos -3511/14942 - 54385500*sin(157/105)/7471 al miembro derecho de la ecuación
cambiando el signo de -3511/14942 - 54385500*sin(157/105)/7471
Obtenemos:
$$\frac{\left(- \frac{1000 \cdot 108771}{10} \left(\sin{\left(\frac{\frac{157}{50} x}{\frac{1449}{50}} \right)} - \sin{\left(\frac{\left(-1\right) \frac{157}{50} \frac{138}{5}}{\frac{1449}{25}} \right)}\right) + 925\right) - \frac{12761}{10}}{- \frac{12761}{10} + \frac{27703}{10}} + \frac{3511}{14942} + \frac{54385500 \sin{\left(\frac{157}{105} \right)}}{7471} = \frac{3511}{14942} + \frac{54385500 \sin{\left(\frac{157}{105} \right)}}{7471}$$
Dividamos ambos miembros de la ecuación en -54385500/7471
La ecuación se convierte en
$$\sin{\left(\frac{157 x}{1449} \right)} = - \sin{\left(\frac{157}{105} \right)} - \frac{3511}{108771000}$$
Esta ecuación se reorganiza en
$$\frac{157 x}{1449} = 2 \pi n + \operatorname{asin}{\left(- \sin{\left(\frac{157}{105} \right)} - \frac{3511}{108771000} \right)}$$
$$\frac{157 x}{1449} = 2 \pi n - \operatorname{asin}{\left(- \sin{\left(\frac{157}{105} \right)} - \frac{3511}{108771000} \right)} + \pi$$
O
$$\frac{157 x}{1449} = 2 \pi n - \operatorname{asin}{\left(\frac{3511}{108771000} + \sin{\left(\frac{157}{105} \right)} \right)}$$
$$\frac{157 x}{1449} = 2 \pi n + \operatorname{asin}{\left(\frac{3511}{108771000} + \sin{\left(\frac{157}{105} \right)} \right)} + \pi$$
, donde n es cualquier número entero
Dividamos ambos miembros de la ecuación obtenida en
$$\frac{157}{1449}$$
obtenemos la respuesta:
$$x_{1} = \frac{2898 \pi n}{157} - \frac{1449 \operatorname{asin}{\left(\frac{3511}{108771000} + \sin{\left(\frac{157}{105} \right)} \right)}}{157}$$
$$x_{2} = \frac{2898 \pi n}{157} + \frac{1449 \operatorname{asin}{\left(\frac{3511}{108771000} + \sin{\left(\frac{157}{105} \right)} \right)}}{157} + \frac{1449 \pi}{157}$$
Suma y producto de raíces
[src]
suma
/ 3511 /157\\ / 3511 /157\\
1449*asin|--------- + sin|---|| 1449*asin|--------- + sin|---||
1449*pi \108771000 \105// \108771000 \105//
------- + ------------------------------- - -------------------------------
157 157 157
$$- \frac{1449 \operatorname{asin}{\left(\frac{3511}{108771000} + \sin{\left(\frac{157}{105} \right)} \right)}}{157} + \left(\frac{1449 \operatorname{asin}{\left(\frac{3511}{108771000} + \sin{\left(\frac{157}{105} \right)} \right)}}{157} + \frac{1449 \pi}{157}\right)$$
=
1449*pi ------- 157
$$\frac{1449 \pi}{157}$$
producto
/ / 3511 /157\\\ / 3511 /157\\ | 1449*asin|--------- + sin|---||| -1449*asin|--------- + sin|---|| |1449*pi \108771000 \105//| \108771000 \105// |------- + -------------------------------|*-------------------------------- \ 157 157 / 157
$$\left(\frac{1449 \operatorname{asin}{\left(\frac{3511}{108771000} + \sin{\left(\frac{157}{105} \right)} \right)}}{157} + \frac{1449 \pi}{157}\right) \left(- \frac{1449 \operatorname{asin}{\left(\frac{3511}{108771000} + \sin{\left(\frac{157}{105} \right)} \right)}}{157}\right)$$
=
/ / 3511 /157\\\ / 3511 /157\\
-2099601*|pi + asin|--------- + sin|---|||*asin|--------- + sin|---||
\ \108771000 \105/// \108771000 \105//
---------------------------------------------------------------------
24649
$$- \frac{2099601 \left(\operatorname{asin}{\left(\frac{3511}{108771000} + \sin{\left(\frac{157}{105} \right)} \right)} + \pi\right) \operatorname{asin}{\left(\frac{3511}{108771000} + \sin{\left(\frac{157}{105} \right)} \right)}}{24649}$$
-2099601*(pi + asin(3511/108771000 + sin(157/105)))*asin(3511/108771000 + sin(157/105))/24649
Respuesta rápida
[src]
/ 3511 /157\\
1449*asin|--------- + sin|---||
1449*pi \108771000 \105//
x1 = ------- + -------------------------------
157 157
$$x_{1} = \frac{1449 \operatorname{asin}{\left(\frac{3511}{108771000} + \sin{\left(\frac{157}{105} \right)} \right)}}{157} + \frac{1449 \pi}{157}$$
/ 3511 /157\\
-1449*asin|--------- + sin|---||
\108771000 \105//
x2 = --------------------------------
157
$$x_{2} = - \frac{1449 \operatorname{asin}{\left(\frac{3511}{108771000} + \sin{\left(\frac{157}{105} \right)} \right)}}{157}$$
x2 = -1449*asin(3511/108771000 + sin(157/105))/157
Respuesta numérica
[src]
x1 = 13496.3390284573
x2 = 100.788054993317
x3 = 218.153634851063
x4 = -361.740346684174
x5 = 24398.3458813197
x6 = -115199026.674035
x7 = -73.180139467254
x8 = 58438.1225974382
x9 = 42.7986568397934
x10 = -71.7933559165552
x11 = 102.174838544016
x12 = -6914.54233803235
x13 = 1122079.66352937
x14 = 680.682036528554
x15 = -15.1907413137303
x16 = -13.8039577630315
x17 = -2798.68185268287
x18 = 44.1854403904922
x19 = 334.132431158111
x19 = 334.132431158111