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- La ecuación:
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Ecuación x^2+5x=36
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Ecuación 9-7(x+3)=5-6x
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Ecuación 4x-5=3+2(x+1)
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Ecuación 6/(x-2)+5/x=3
- Expresar {x} en función de y en la ecuación:
- -14*x-12*y=-13
- -20*x+14*y=16
- -7*x+15*y=-11
- -14*x+5*y=3
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Expresiones idénticas
- tan(dos *p/ tres + tres *x)+tan(siete *p/ nueve -x)= cero
- tangente de (2 multiplicar por p dividir por 3 más 3 multiplicar por x) más tangente de (7 multiplicar por p dividir por 9 menos x) es igual a 0
- tangente de (dos multiplicar por p dividir por tres más tres multiplicar por x) más tangente de (siete multiplicar por p dividir por nueve menos x) es igual a cero
- tan(2p/3+3x)+tan(7p/9-x)=0
- tan2p/3+3x+tan7p/9-x=0
- tan(2*p/3+3*x)+tan(7*p/9-x)=O
- tan(2*p dividir por 3+3*x)+tan(7*p dividir por 9-x)=0
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Expresiones semejantes
- tan(2*p/3+3*x)-tan(7*p/9-x)=0
- tan(2*p/3+3*x)+tan(7*p/9+x)=0
- tan(2*p/3-3*x)+tan(7*p/9-x)=0
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Expresiones con funciones
- Tangente tan
- tan(x)=sqrt(a)-1
- tan(a-3/4*pi)*(1-sin(2*d))=cos(2*d)
- tan(4*x)=sqrt(3)
- tan(p)*i*(8*x+5)/3=3*sqrt(x)
- tan(-22.3°)=2*tan(x°)
- Tangente tan
- tan(x)=sqrt(a)-1
- tan(a-3/4*pi)*(1-sin(2*d))=cos(2*d)
- tan(4*x)=sqrt(3)
- tan(p)*i*(8*x+5)/3=3*sqrt(x)
- tan(-22.3°)=2*tan(x°)
tan(2*p/3+3*x)+tan(7*p/9-x)=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
/2*p \ /7*p \ tan|--- + 3*x| + tan|--- - x| = 0 \ 3 / \ 9 /
$$\tan{\left(\frac{2 p}{3} + 3 x \right)} + \tan{\left(\frac{7 p}{9} - x \right)} = 0$$
Gráfica
Respuesta rápida
[src]
/| __________|\ / __________\
|| / -26*I*p || | / -26*I*p |
|| / ------- || | / ------- |
||4 / 9 || | 4 / 9 |
x1 = - I*log\|\/ e |/ + arg\-I*\/ e /
$$x_{1} = - i \log{\left(\left|{\sqrt[4]{e^{- \frac{26 i p}{9}}}}\right| \right)} + \arg{\left(- i \sqrt[4]{e^{- \frac{26 i p}{9}}} \right)}$$
/| __________|\ / __________\
|| / -26*I*p || | / -26*I*p |
|| / ------- || | / ------- |
||4 / 9 || | 4 / 9 |
x2 = - I*log\|\/ e |/ + arg\I*\/ e /
$$x_{2} = - i \log{\left(\left|{\sqrt[4]{e^{- \frac{26 i p}{9}}}}\right| \right)} + \arg{\left(i \sqrt[4]{e^{- \frac{26 i p}{9}}} \right)}$$
/| __________|\ / __________\
|| / -26*I*p || | / -26*I*p |
|| / ------- || | / ------- |
||4 / 9 || | 4 / 9 |
x3 = - I*log\|\/ e |/ + arg\-\/ e /
$$x_{3} = - i \log{\left(\left|{\sqrt[4]{e^{- \frac{26 i p}{9}}}}\right| \right)} + \arg{\left(- \sqrt[4]{e^{- \frac{26 i p}{9}}} \right)}$$
/ -26*I*p\
| -------|
| 9 |
arg\e / 13*I*im(p)
x4 = ------------- - ----------
4 18
$$x_{4} = - \frac{13 i \operatorname{im}{\left(p\right)}}{18} + \frac{\arg{\left(e^{- \frac{26 i p}{9}} \right)}}{4}$$
x4 = -13*i*im(p)/18 + arg(exp(-26*i*p/9))/4
Suma y producto de raíces
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suma
/| __________|\ / __________\ /| __________|\ / __________\ /| __________|\ / __________\ / -26*I*p\
|| / -26*I*p || | / -26*I*p | || / -26*I*p || | / -26*I*p | || / -26*I*p || | / -26*I*p | | -------|
|| / ------- || | / ------- | || / ------- || | / ------- | || / ------- || | / ------- | | 9 |
||4 / 9 || | 4 / 9 | ||4 / 9 || | 4 / 9 | ||4 / 9 || | 4 / 9 | arg\e / 13*I*im(p)
- I*log\|\/ e |/ + arg\-I*\/ e / + - I*log\|\/ e |/ + arg\I*\/ e / + - I*log\|\/ e |/ + arg\-\/ e / + ------------- - ----------
4 18
$$\left(- \frac{13 i \operatorname{im}{\left(p\right)}}{18} + \frac{\arg{\left(e^{- \frac{26 i p}{9}} \right)}}{4}\right) + \left(\left(- i \log{\left(\left|{\sqrt[4]{e^{- \frac{26 i p}{9}}}}\right| \right)} + \arg{\left(- \sqrt[4]{e^{- \frac{26 i p}{9}}} \right)}\right) + \left(\left(- i \log{\left(\left|{\sqrt[4]{e^{- \frac{26 i p}{9}}}}\right| \right)} + \arg{\left(- i \sqrt[4]{e^{- \frac{26 i p}{9}}} \right)}\right) + \left(- i \log{\left(\left|{\sqrt[4]{e^{- \frac{26 i p}{9}}}}\right| \right)} + \arg{\left(i \sqrt[4]{e^{- \frac{26 i p}{9}}} \right)}\right)\right)\right)$$
=
/ -26*I*p\ /| __________|\ / __________\ / __________\ / __________\
| -------| || / -26*I*p || | / -26*I*p | | / -26*I*p | | / -26*I*p |
| 9 | || / ------- || | / ------- | | / ------- | | / ------- |
arg\e / ||4 / 9 || 13*I*im(p) | 4 / 9 | | 4 / 9 | | 4 / 9 |
------------- - 3*I*log\|\/ e |/ - ---------- + arg\-\/ e / + arg\I*\/ e / + arg\-I*\/ e /
4 18
$$- 3 i \log{\left(\left|{\sqrt[4]{e^{- \frac{26 i p}{9}}}}\right| \right)} - \frac{13 i \operatorname{im}{\left(p\right)}}{18} + \arg{\left(- i \sqrt[4]{e^{- \frac{26 i p}{9}}} \right)} + \arg{\left(i \sqrt[4]{e^{- \frac{26 i p}{9}}} \right)} + \arg{\left(- \sqrt[4]{e^{- \frac{26 i p}{9}}} \right)} + \frac{\arg{\left(e^{- \frac{26 i p}{9}} \right)}}{4}$$
producto
/ /| __________|\ / __________\\ / /| __________|\ / __________\\ / /| __________|\ / __________\\ / / -26*I*p\ \
| || / -26*I*p || | / -26*I*p || | || / -26*I*p || | / -26*I*p || | || / -26*I*p || | / -26*I*p || | | -------| |
| || / ------- || | / ------- || | || / ------- || | / ------- || | || / ------- || | / ------- || | | 9 | |
| ||4 / 9 || | 4 / 9 || | ||4 / 9 || | 4 / 9 || | ||4 / 9 || | 4 / 9 || |arg\e / 13*I*im(p)|
\- I*log\|\/ e |/ + arg\-I*\/ e //*\- I*log\|\/ e |/ + arg\I*\/ e //*\- I*log\|\/ e |/ + arg\-\/ e //*|------------- - ----------|
\ 4 18 /
$$\left(- i \log{\left(\left|{\sqrt[4]{e^{- \frac{26 i p}{9}}}}\right| \right)} + \arg{\left(- i \sqrt[4]{e^{- \frac{26 i p}{9}}} \right)}\right) \left(- i \log{\left(\left|{\sqrt[4]{e^{- \frac{26 i p}{9}}}}\right| \right)} + \arg{\left(i \sqrt[4]{e^{- \frac{26 i p}{9}}} \right)}\right) \left(- i \log{\left(\left|{\sqrt[4]{e^{- \frac{26 i p}{9}}}}\right| \right)} + \arg{\left(- \sqrt[4]{e^{- \frac{26 i p}{9}}} \right)}\right) \left(- \frac{13 i \operatorname{im}{\left(p\right)}}{18} + \frac{\arg{\left(e^{- \frac{26 i p}{9}} \right)}}{4}\right)$$
=
/ / __________\ /| __________|\\ / / __________\ /| __________|\\ / / __________\ /| __________|\\
| | / -26*I*p | || / -26*I*p ||| | | / -26*I*p | || / -26*I*p ||| | | / -26*I*p | || / -26*I*p ||| / / -26*I*p\ \
| | / ------- | || / ------- ||| | | / ------- | || / ------- ||| | | / ------- | || / ------- ||| | | -------| |
| | 4 / 9 | ||4 / 9 ||| | | 4 / 9 | ||4 / 9 ||| | | 4 / 9 | ||4 / 9 ||| | | 9 | |
\- arg\-\/ e / + I*log\|\/ e |//*\- arg\I*\/ e / + I*log\|\/ e |//*\- arg\-I*\/ e / + I*log\|\/ e |//*\- 9*arg\e / + 26*I*im(p)/
--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
36
$$\frac{\left(i \log{\left(\left|{\sqrt[4]{e^{- \frac{26 i p}{9}}}}\right| \right)} - \arg{\left(- i \sqrt[4]{e^{- \frac{26 i p}{9}}} \right)}\right) \left(i \log{\left(\left|{\sqrt[4]{e^{- \frac{26 i p}{9}}}}\right| \right)} - \arg{\left(i \sqrt[4]{e^{- \frac{26 i p}{9}}} \right)}\right) \left(i \log{\left(\left|{\sqrt[4]{e^{- \frac{26 i p}{9}}}}\right| \right)} - \arg{\left(- \sqrt[4]{e^{- \frac{26 i p}{9}}} \right)}\right) \left(26 i \operatorname{im}{\left(p\right)} - 9 \arg{\left(e^{- \frac{26 i p}{9}} \right)}\right)}{36}$$
(-arg(-exp(-26*i*p/9)^(1/4)) + i*log(Abs(exp(-26*i*p/9)^(1/4))))*(-arg(i*exp(-26*i*p/9)^(1/4)) + i*log(Abs(exp(-26*i*p/9)^(1/4))))*(-arg(-i*exp(-26*i*p/9)^(1/4)) + i*log(Abs(exp(-26*i*p/9)^(1/4))))*(-9*arg(exp(-26*i*p/9)) + 26*i*im(p))/36