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- La ecuación:
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Ecuación 2^x=1
- Expresar {x} en función de y en la ecuación:
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- 9*x-1*y=17
- 10*x-2*y=11
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Expresiones idénticas
- dos (log(dos , dos sinx+ uno))^ dos - uno 7log(2,2sinx+1)+ veintiuno = cero
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- 2(log(2,2sinx+1)) en el grado 2-17log(2,2sinx+1)+21=0
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Expresiones semejantes
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Expresiones con funciones
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2(log(2,2sinx+1))^2-17log(2,2sinx+1)+21=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
2/11*sin(x) \ /11*sin(x) \
2*log |--------- + 1| - 17*log|--------- + 1| + 21 = 0
\ 5 / \ 5 /
$$\left(2 \log{\left(\frac{11 \sin{\left(x \right)}}{5} + 1 \right)}^{2} - 17 \log{\left(\frac{11 \sin{\left(x \right)}}{5} + 1 \right)}\right) + 21 = 0$$
Respuesta rápida
[src]
/ / 3/2\\ / / 3/2\\
| |5 5*e || | |5 5*e ||
x1 = pi + I*im|asin|-- - ------|| + re|asin|-- - ------||
\ \11 11 // \ \11 11 //
$$x_{1} = \operatorname{re}{\left(\operatorname{asin}{\left(\frac{5}{11} - \frac{5 e^{\frac{3}{2}}}{11} \right)}\right)} + \pi + i \operatorname{im}{\left(\operatorname{asin}{\left(\frac{5}{11} - \frac{5 e^{\frac{3}{2}}}{11} \right)}\right)}$$
/ / 7\\ / / 7\\
| |5 5*e || | |5 5*e ||
x2 = pi + I*im|asin|-- - ----|| + re|asin|-- - ----||
\ \11 11 // \ \11 11 //
$$x_{2} = \operatorname{re}{\left(\operatorname{asin}{\left(\frac{5}{11} - \frac{5 e^{7}}{11} \right)}\right)} + \pi + i \operatorname{im}{\left(\operatorname{asin}{\left(\frac{5}{11} - \frac{5 e^{7}}{11} \right)}\right)}$$
/ / 3/2\\ / / 3/2\\
| |5 5*e || | |5 5*e ||
x3 = - re|asin|-- - ------|| - I*im|asin|-- - ------||
\ \11 11 // \ \11 11 //
$$x_{3} = - \operatorname{re}{\left(\operatorname{asin}{\left(\frac{5}{11} - \frac{5 e^{\frac{3}{2}}}{11} \right)}\right)} - i \operatorname{im}{\left(\operatorname{asin}{\left(\frac{5}{11} - \frac{5 e^{\frac{3}{2}}}{11} \right)}\right)}$$
/ / 7\\ / / 7\\
| |5 5*e || | |5 5*e ||
x4 = - re|asin|-- - ----|| - I*im|asin|-- - ----||
\ \11 11 // \ \11 11 //
$$x_{4} = - \operatorname{re}{\left(\operatorname{asin}{\left(\frac{5}{11} - \frac{5 e^{7}}{11} \right)}\right)} - i \operatorname{im}{\left(\operatorname{asin}{\left(\frac{5}{11} - \frac{5 e^{7}}{11} \right)}\right)}$$
x4 = -re(asin(5/11 - 5*exp(7)/11)) - i*im(asin(5/11 - 5*exp(7)/11))
Suma y producto de raíces
[src]
suma
/ / 3/2\\ / / 3/2\\ / / 7\\ / / 7\\ / / 3/2\\ / / 3/2\\ / / 7\\ / / 7\\
| |5 5*e || | |5 5*e || | |5 5*e || | |5 5*e || | |5 5*e || | |5 5*e || | |5 5*e || | |5 5*e ||
pi + I*im|asin|-- - ------|| + re|asin|-- - ------|| + pi + I*im|asin|-- - ----|| + re|asin|-- - ----|| + - re|asin|-- - ------|| - I*im|asin|-- - ------|| + - re|asin|-- - ----|| - I*im|asin|-- - ----||
\ \11 11 // \ \11 11 // \ \11 11 // \ \11 11 // \ \11 11 // \ \11 11 // \ \11 11 // \ \11 11 //
$$\left(- \operatorname{re}{\left(\operatorname{asin}{\left(\frac{5}{11} - \frac{5 e^{7}}{11} \right)}\right)} - i \operatorname{im}{\left(\operatorname{asin}{\left(\frac{5}{11} - \frac{5 e^{7}}{11} \right)}\right)}\right) + \left(\left(- \operatorname{re}{\left(\operatorname{asin}{\left(\frac{5}{11} - \frac{5 e^{\frac{3}{2}}}{11} \right)}\right)} - i \operatorname{im}{\left(\operatorname{asin}{\left(\frac{5}{11} - \frac{5 e^{\frac{3}{2}}}{11} \right)}\right)}\right) + \left(\left(\operatorname{re}{\left(\operatorname{asin}{\left(\frac{5}{11} - \frac{5 e^{\frac{3}{2}}}{11} \right)}\right)} + \pi + i \operatorname{im}{\left(\operatorname{asin}{\left(\frac{5}{11} - \frac{5 e^{\frac{3}{2}}}{11} \right)}\right)}\right) + \left(\operatorname{re}{\left(\operatorname{asin}{\left(\frac{5}{11} - \frac{5 e^{7}}{11} \right)}\right)} + \pi + i \operatorname{im}{\left(\operatorname{asin}{\left(\frac{5}{11} - \frac{5 e^{7}}{11} \right)}\right)}\right)\right)\right)$$
=
2*pi
$$2 \pi$$
producto
/ / / 3/2\\ / / 3/2\\\ / / / 7\\ / / 7\\\ / / / 3/2\\ / / 3/2\\\ / / / 7\\ / / 7\\\ | | |5 5*e || | |5 5*e ||| | | |5 5*e || | |5 5*e ||| | | |5 5*e || | |5 5*e ||| | | |5 5*e || | |5 5*e ||| |pi + I*im|asin|-- - ------|| + re|asin|-- - ------|||*|pi + I*im|asin|-- - ----|| + re|asin|-- - ----|||*|- re|asin|-- - ------|| - I*im|asin|-- - ------|||*|- re|asin|-- - ----|| - I*im|asin|-- - ----||| \ \ \11 11 // \ \11 11 /// \ \ \11 11 // \ \11 11 /// \ \ \11 11 // \ \11 11 /// \ \ \11 11 // \ \11 11 ///
$$\left(\operatorname{re}{\left(\operatorname{asin}{\left(\frac{5}{11} - \frac{5 e^{\frac{3}{2}}}{11} \right)}\right)} + \pi + i \operatorname{im}{\left(\operatorname{asin}{\left(\frac{5}{11} - \frac{5 e^{\frac{3}{2}}}{11} \right)}\right)}\right) \left(\operatorname{re}{\left(\operatorname{asin}{\left(\frac{5}{11} - \frac{5 e^{7}}{11} \right)}\right)} + \pi + i \operatorname{im}{\left(\operatorname{asin}{\left(\frac{5}{11} - \frac{5 e^{7}}{11} \right)}\right)}\right) \left(- \operatorname{re}{\left(\operatorname{asin}{\left(\frac{5}{11} - \frac{5 e^{\frac{3}{2}}}{11} \right)}\right)} - i \operatorname{im}{\left(\operatorname{asin}{\left(\frac{5}{11} - \frac{5 e^{\frac{3}{2}}}{11} \right)}\right)}\right) \left(- \operatorname{re}{\left(\operatorname{asin}{\left(\frac{5}{11} - \frac{5 e^{7}}{11} \right)}\right)} - i \operatorname{im}{\left(\operatorname{asin}{\left(\frac{5}{11} - \frac{5 e^{7}}{11} \right)}\right)}\right)$$
=
/ / / 7\\ / / 7\\\ / / / 3/2\\ / / 3/2\\\ / / / 7\\ / / 7\\\ / / / 3/2\\ / / 3/2\\\ | | |5 5*e || | |5 5*e ||| | | |5 5*e || | |5 5*e ||| | | |5 5*e || | |5 5*e ||| | | |5 5*e || | |5 5*e ||| |I*im|asin|-- - ----|| + re|asin|-- - ----|||*|I*im|asin|-- - ------|| + re|asin|-- - ------|||*|pi + I*im|asin|-- - ----|| + re|asin|-- - ----|||*|pi + I*im|asin|-- - ------|| + re|asin|-- - ------||| \ \ \11 11 // \ \11 11 /// \ \ \11 11 // \ \11 11 /// \ \ \11 11 // \ \11 11 /// \ \ \11 11 // \ \11 11 ///
$$\left(\operatorname{re}{\left(\operatorname{asin}{\left(\frac{5}{11} - \frac{5 e^{\frac{3}{2}}}{11} \right)}\right)} + i \operatorname{im}{\left(\operatorname{asin}{\left(\frac{5}{11} - \frac{5 e^{\frac{3}{2}}}{11} \right)}\right)}\right) \left(\operatorname{re}{\left(\operatorname{asin}{\left(\frac{5}{11} - \frac{5 e^{7}}{11} \right)}\right)} + i \operatorname{im}{\left(\operatorname{asin}{\left(\frac{5}{11} - \frac{5 e^{7}}{11} \right)}\right)}\right) \left(\operatorname{re}{\left(\operatorname{asin}{\left(\frac{5}{11} - \frac{5 e^{\frac{3}{2}}}{11} \right)}\right)} + \pi + i \operatorname{im}{\left(\operatorname{asin}{\left(\frac{5}{11} - \frac{5 e^{\frac{3}{2}}}{11} \right)}\right)}\right) \left(\operatorname{re}{\left(\operatorname{asin}{\left(\frac{5}{11} - \frac{5 e^{7}}{11} \right)}\right)} + \pi + i \operatorname{im}{\left(\operatorname{asin}{\left(\frac{5}{11} - \frac{5 e^{7}}{11} \right)}\right)}\right)$$
(i*im(asin(5/11 - 5*exp(7)/11)) + re(asin(5/11 - 5*exp(7)/11)))*(i*im(asin(5/11 - 5*exp(3/2)/11)) + re(asin(5/11 - 5*exp(3/2)/11)))*(pi + i*im(asin(5/11 - 5*exp(7)/11)) + re(asin(5/11 - 5*exp(7)/11)))*(pi + i*im(asin(5/11 - 5*exp(3/2)/11)) + re(asin(5/11 - 5*exp(3/2)/11)))
Respuesta numérica
[src]
x1 = 18555.8170084281 - 1.03289919554189*i
x2 = -4.71238898038469 - 1.03289919554189*i
x3 = -73.8274273593601 - 1.03289919554189*i
x4 = 7.85398163397448 + 1.03289919554189*i
x5 = -29.845130209103 - 1.03289919554189*i
x6 = -36.1283155162826 - 1.03289919554189*i
x7 = -86.3937979737193 - 1.03289919554189*i
x8 = 26.7035375555132 - 1.03289919554189*i
x9 = 26.7035375555132 + 1.03289919554189*i
x10 = -92.6769832808989 - 1.03289919554189*i
x11 = -10.9955742875643 - 1.03289919554189*i
x12 = 887.499924639117 - 1.03289919554189*i
x13 = 39.2699081698724 + 1.03289919554189*i
x14 = -88591.3420349054 + 6.90377651422407*i
x15 = 20.4203522483337 + 1.03289919554189*i
x16 = 95.8185759344887 + 6.90377651422407*i
x17 = 7.85398163397448 - 6.90377651422407*i
x18 = 76.9690200129499 + 1.03289919554189*i
x19 = -4.71238898038469 + 1.03289919554189*i
x20 = 1245.64148714835 - 1.03289919554189*i
x21 = -67.5442420521806 + 1.03289919554189*i
x22 = -86.3937979737193 + 6.90377651422407*i
x23 = 64.4026493985908 + 6.90377651422407*i
x24 = 39.2699081698724 + 6.90377651422407*i
x25 = 20.4203522483337 - 6.90377651422407*i
x26 = 89.5353906273091 + 1.03289919554189*i
x27 = -48.6946861306418 + 1.03289919554189*i
x28 = -29.845130209103 + 1.03289919554189*i
x29 = 108.384946548848 + 1.03289919554189*i
x30 = -80.1106126665397 - 1.03289919554189*i
x31 = 1157.67689284784 - 6.90377651422407*i
x32 = 7.85398163397448 - 1.03289919554189*i
x33 = -54.9778714378214 - 1.03289919554189*i
x34 = 70.6858347057703 + 1.03289919554189*i
x35 = -92.6769832808989 + 1.03289919554189*i
x36 = 32.9867228626928 + 1.03289919554189*i
x37 = 1.5707963267949 + 1.03289919554189*i
x38 = -10.9955742875643 + 6.90377651422407*i
x39 = 58.1194640914112 + 6.90377651422407*i
x40 = -54.9778714378214 + 1.03289919554189*i
x41 = -23.5619449019235 + 1.03289919554189*i
x42 = -98.9601685880785 - 1.03289919554189*i
x43 = 51.8362787842316 - 1.03289919554189*i
x44 = -168.075206967054 + 6.90377651422407*i
x45 = -67.5442420521806 - 1.03289919554189*i
x46 = -73.8274273593601 + 6.90377651422407*i
x47 = 45.553093477052 + 1.03289919554189*i
x48 = 51.8362787842316 + 1.03289919554189*i
x49 = -73.8274273593601 + 1.03289919554189*i
x50 = 58.1194640914112 - 1.03289919554189*i
x51 = -86.3937979737193 + 1.03289919554189*i
x52 = -48.6946861306418 - 1.03289919554189*i
x53 = -42.4115008234622 + 1.03289919554189*i
x54 = 58.1194640914112 + 1.03289919554189*i
x55 = 83.2522053201295 - 1.03289919554189*i
x56 = -17.2787595947439 - 1.03289919554189*i
x57 = 45.553093477052 - 1.03289919554189*i
x58 = -4.71238898038469 + 6.90377651422407*i
x59 = 76.9690200129499 - 1.03289919554189*i
x60 = 83.2522053201295 + 6.90377651422407*i
x61 = 14.1371669411541 + 1.03289919554189*i
x62 = -10.9955742875643 + 1.03289919554189*i
x63 = 64.4026493985908 + 1.03289919554189*i
x64 = -42.4115008234622 - 1.03289919554189*i
x65 = 70.6858347057703 - 1.03289919554189*i
x66 = -61.261056745001 - 1.03289919554189*i
x67 = 14.1371669411541 - 1.03289919554189*i
x68 = 102.101761241668 + 1.03289919554189*i
x69 = 95.8185759344887 - 1.03289919554189*i
x70 = -105.243353895258 + 1.03289919554189*i
x70 = -105.243353895258 + 1.03289919554189*i