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Ecuación x^2+5x=36
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Ecuación 4x-5=3+2(x+1)
- Expresar {x} en función de y en la ecuación:
- -17*x+2*y=9
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- -17*x+2*y=-4
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Expresiones idénticas
- (((veintidós / veinticinco)+ cero . veintitrés *((mil trescientos ochenta y siete *b dos +x)/ dos))/(sesenta y nueve / doscientos))*((seis mil novecientos treinta y seis / cinco)-x)=(((veintinueve / doscientos cincuenta)+ cero . quince *((x+ doscientos)/2))/(veintitrés / doscientos))*(x- doscientos)
- (((22 dividir por 25) más 0.00023 multiplicar por ((1387 multiplicar por b2 más x) dividir por 2)) dividir por (69 dividir por 200)) multiplicar por ((6936 dividir por 5) menos x) es igual a (((29 dividir por 250) más 0.00015 multiplicar por ((x más 200) dividir por 2)) dividir por (23 dividir por 200)) multiplicar por (x menos 200)
- (((veintidós dividir por veinticinco) más cero . veintitrés multiplicar por ((mil trescientos ochenta y siete multiplicar por b dos más x) dividir por dos)) dividir por (sesenta y nueve dividir por doscientos)) multiplicar por ((seis mil novecientos treinta y seis dividir por cinco) menos x) es igual a (((veintinueve dividir por doscientos cincuenta) más cero . quince multiplicar por ((x más doscientos) dividir por 2)) dividir por (veintitrés dividir por doscientos)) multiplicar por (x menos doscientos)
- (((22/25)+0.00023((1387b2+x)/2))/(69/200))((6936/5)-x)=(((29/250)+0.00015((x+200)/2))/(23/200))(x-200)
- 22/25+0.000231387b2+x/2/69/2006936/5-x=29/250+0.00015x+200/2/23/200x-200
- (((22 dividir por 25)+0.00023*((1387*b2+x) dividir por 2)) dividir por (69 dividir por 200))*((6936 dividir por 5)-x)=(((29 dividir por 250)+0.00015*((x+200) dividir por 2)) dividir por (23 dividir por 200))*(x-200)
-
Expresiones semejantes
- (((22/25)+0.00023*((1387*b2-x)/2))/(69/200))*((6936/5)-x)=(((29/250)+0.00015*((x+200)/2))/(23/200))*(x-200)
- (((22/25)+0.00023*((1387*b2+x)/2))/(69/200))*((6936/5)-x)=(((29/250)+0.00015*((x+200)/2))/(23/200))*(x+200)
- (((22/25)+0.00023*((1387*b2+x)/2))/(69/200))*((6936/5)-x)=(((29/250)+0.00015*((x-200)/2))/(23/200))*(x-200)
- (((22/25)+0.00023*((1387*b2+x)/2))/(69/200))*((6936/5)-x)=(((29/250)-0.00015*((x+200)/2))/(23/200))*(x-200)
- (((22/25)+0.00023*((1387*b2+x)/2))/(69/200))*((6936/5)+x)=(((29/250)+0.00015*((x+200)/2))/(23/200))*(x-200)
- (((22/25)-0.00023*((1387*b2+x)/2))/(69/200))*((6936/5)-x)=(((29/250)+0.00015*((x+200)/2))/(23/200))*(x-200)
(((22/25)+0.00023*((1387*b2+x)/2))/(69/200))*((6936/5)-x)=(((29/250)+0.00015*((x+200)/2))/(23/200))*(x-200) la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
22 1387*b2 + x 29 x + 200
-- + 0.00023*----------- --- + 0.00015*-------
25 2 250 2
------------------------*(6936/5 - x) = ---------------------*(x - 200)
/ 69\ / 23\
|---| |---|
\200/ \200/
$$\frac{0.00023 \frac{1387 b_{2} + x}{2} + \frac{22}{25}}{\frac{69}{200}} \left(\frac{6936}{5} - x\right) = \frac{0.00015 \frac{x + 200}{2} + \frac{29}{250}}{\frac{23}{200}} \left(x - 200\right)$$
Solución detallada
Transportemos el miembro derecho de la ecuación al
miembro izquierdo de la ecuación con el signo negativo.
La ecuación se convierte de
$$\frac{0.00023 \frac{1387 b_{2} + x}{2} + \frac{22}{25}}{\frac{69}{200}} \left(\frac{6936}{5} - x\right) = \frac{0.00015 \frac{x + 200}{2} + \frac{29}{250}}{\frac{23}{200}} \left(x - 200\right)$$
en
$$- \frac{0.00015 \frac{x + 200}{2} + \frac{29}{250}}{\frac{23}{200}} \left(x - 200\right) + \frac{0.00023 \frac{1387 b_{2} + x}{2} + \frac{22}{25}}{\frac{69}{200}} \left(\frac{6936}{5} - x\right) = 0$$
Abramos la expresión en la ecuación
$$- \frac{0.00015 \frac{x + 200}{2} + \frac{29}{250}}{\frac{23}{200}} \left(x - 200\right) + \frac{0.00023 \frac{1387 b_{2} + x}{2} + \frac{22}{25}}{\frac{69}{200}} \left(\frac{6936}{5} - x\right) = 0$$
Obtenemos la ecuación cuadrática
$$- 0.462333333333333 b_{2} x + 641.3488 b_{2} - 0.000985507246376812 x^{2} - 3.09702028985507 x + 3766.19130434783 = 0$$
Es la ecuación de la forma
La ecuación cuadrática puede ser resuelta
con la ayuda del discriminante.
Las raíces de la ecuación cuadrática:
$$x_{1} = \frac{\sqrt{D} - b}{2 a}$$
$$x_{2} = \frac{- \sqrt{D} - b}{2 a}$$
donde D = b^2 - 4*a*c es el discriminante.
Como
$$a = -0.000985507246376812$$
$$b = - 0.462333333333333 b_{2} - 3.09702028985507$$
$$c = 641.3488 b_{2} + 3766.19130434783$$
, entonces
La ecuación tiene dos raíces.
o
$$x_{1} = - 234.566176470588 b_{2} - 1954.88528322974 \sqrt{0.170291084061398 b_{2} + 0.646049673914894 \left(- 0.149283275556121 b_{2} - 1\right)^{2} + 1} - 1571.28235294118$$
$$x_{2} = - 234.566176470588 b_{2} + 1954.88528322974 \sqrt{0.170291084061398 b_{2} + 0.646049673914894 \left(- 0.149283275556121 b_{2} - 1\right)^{2} + 1} - 1571.28235294118$$
miembro izquierdo de la ecuación con el signo negativo.
La ecuación se convierte de
$$\frac{0.00023 \frac{1387 b_{2} + x}{2} + \frac{22}{25}}{\frac{69}{200}} \left(\frac{6936}{5} - x\right) = \frac{0.00015 \frac{x + 200}{2} + \frac{29}{250}}{\frac{23}{200}} \left(x - 200\right)$$
en
$$- \frac{0.00015 \frac{x + 200}{2} + \frac{29}{250}}{\frac{23}{200}} \left(x - 200\right) + \frac{0.00023 \frac{1387 b_{2} + x}{2} + \frac{22}{25}}{\frac{69}{200}} \left(\frac{6936}{5} - x\right) = 0$$
Abramos la expresión en la ecuación
$$- \frac{0.00015 \frac{x + 200}{2} + \frac{29}{250}}{\frac{23}{200}} \left(x - 200\right) + \frac{0.00023 \frac{1387 b_{2} + x}{2} + \frac{22}{25}}{\frac{69}{200}} \left(\frac{6936}{5} - x\right) = 0$$
Obtenemos la ecuación cuadrática
$$- 0.462333333333333 b_{2} x + 641.3488 b_{2} - 0.000985507246376812 x^{2} - 3.09702028985507 x + 3766.19130434783 = 0$$
Es la ecuación de la forma
a*x^2 + b*x + c = 0
La ecuación cuadrática puede ser resuelta
con la ayuda del discriminante.
Las raíces de la ecuación cuadrática:
$$x_{1} = \frac{\sqrt{D} - b}{2 a}$$
$$x_{2} = \frac{- \sqrt{D} - b}{2 a}$$
donde D = b^2 - 4*a*c es el discriminante.
Como
$$a = -0.000985507246376812$$
$$b = - 0.462333333333333 b_{2} - 3.09702028985507$$
$$c = 641.3488 b_{2} + 3766.19130434783$$
, entonces
D = b^2 - 4 * a * c =
(-3.09702028985507 - 0.462333333333333*b2)^2 - 4 * (-0.000985507246376812) * (3766.19130434783 + 641.3488*b2) = 14.8464352867045 + 9.59153467577399*(-1 - 0.149283275556121*b2)^2 + 2.52821555942029*b2
La ecuación tiene dos raíces.
x1 = (-b + sqrt(D)) / (2*a)
x2 = (-b - sqrt(D)) / (2*a)
o
$$x_{1} = - 234.566176470588 b_{2} - 1954.88528322974 \sqrt{0.170291084061398 b_{2} + 0.646049673914894 \left(- 0.149283275556121 b_{2} - 1\right)^{2} + 1} - 1571.28235294118$$
$$x_{2} = - 234.566176470588 b_{2} + 1954.88528322974 \sqrt{0.170291084061398 b_{2} + 0.646049673914894 \left(- 0.149283275556121 b_{2} - 1\right)^{2} + 1} - 1571.28235294118$$
Gráfica
Respuesta rápida
[src]
/ _______________________________________________________________________________________________________________________________________________________________ \ _______________________________________________________________________________________________________________________________________________________________
| / 2 / / 2 2 \\| / 2 / / 2 2 \\
| 4 / / 2 2 \ 2 |atan2\0.220637270432784*im(b2) + 0.0174934424945526*im(b2)*re(b2), 1 + 0.00874672124727632*re (b2) + 0.220637270432784*re(b2) - 0.00874672124727632*im (b2)/|| 4 / / 2 2 \ 2 |atan2\0.220637270432784*im(b2) + 0.0174934424945526*im(b2)*re(b2), 1 + 0.00874672124727632*re (b2) + 0.220637270432784*re(b2) - 0.00874672124727632*im (b2)/|
x1 = -1571.28235294118 - 234.566176470588*re(b2) + I*|-234.566176470588*im(b2) - 2508.08785796124*\/ \1 + 0.00874672124727632*re (b2) + 0.220637270432784*re(b2) - 0.00874672124727632*im (b2)/ + 0.0486808051040294*(0.0792859812861125*im(b2)*re(b2) + im(b2)) *sin|------------------------------------------------------------------------------------------------------------------------------------------------------------|| - 2508.08785796124*\/ \1 + 0.00874672124727632*re (b2) + 0.220637270432784*re(b2) - 0.00874672124727632*im (b2)/ + 0.0486808051040294*(0.0792859812861125*im(b2)*re(b2) + im(b2)) *cos|------------------------------------------------------------------------------------------------------------------------------------------------------------|
\ \ 2 // \ 2 /
$$x_{1} = i \left(- 2508.08785796124 \sqrt[4]{0.0486808051040294 \left(0.0792859812861125 \operatorname{re}{\left(b_{2}\right)} \operatorname{im}{\left(b_{2}\right)} + \operatorname{im}{\left(b_{2}\right)}\right)^{2} + \left(0.00874672124727632 \left(\operatorname{re}{\left(b_{2}\right)}\right)^{2} + 0.220637270432784 \operatorname{re}{\left(b_{2}\right)} - 0.00874672124727632 \left(\operatorname{im}{\left(b_{2}\right)}\right)^{2} + 1\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(0.0174934424945526 \operatorname{re}{\left(b_{2}\right)} \operatorname{im}{\left(b_{2}\right)} + 0.220637270432784 \operatorname{im}{\left(b_{2}\right)},0.00874672124727632 \left(\operatorname{re}{\left(b_{2}\right)}\right)^{2} + 0.220637270432784 \operatorname{re}{\left(b_{2}\right)} - 0.00874672124727632 \left(\operatorname{im}{\left(b_{2}\right)}\right)^{2} + 1 \right)}}{2} \right)} - 234.566176470588 \operatorname{im}{\left(b_{2}\right)}\right) - 2508.08785796124 \sqrt[4]{0.0486808051040294 \left(0.0792859812861125 \operatorname{re}{\left(b_{2}\right)} \operatorname{im}{\left(b_{2}\right)} + \operatorname{im}{\left(b_{2}\right)}\right)^{2} + \left(0.00874672124727632 \left(\operatorname{re}{\left(b_{2}\right)}\right)^{2} + 0.220637270432784 \operatorname{re}{\left(b_{2}\right)} - 0.00874672124727632 \left(\operatorname{im}{\left(b_{2}\right)}\right)^{2} + 1\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(0.0174934424945526 \operatorname{re}{\left(b_{2}\right)} \operatorname{im}{\left(b_{2}\right)} + 0.220637270432784 \operatorname{im}{\left(b_{2}\right)},0.00874672124727632 \left(\operatorname{re}{\left(b_{2}\right)}\right)^{2} + 0.220637270432784 \operatorname{re}{\left(b_{2}\right)} - 0.00874672124727632 \left(\operatorname{im}{\left(b_{2}\right)}\right)^{2} + 1 \right)}}{2} \right)} - 234.566176470588 \operatorname{re}{\left(b_{2}\right)} - 1571.28235294118$$
/ _______________________________________________________________________________________________________________________________________________________________ \ _______________________________________________________________________________________________________________________________________________________________
| / 2 / / 2 2 \\| / 2 / / 2 2 \\
| 4 / / 2 2 \ 2 |atan2\0.220637270432784*im(b2) + 0.0174934424945526*im(b2)*re(b2), 1 + 0.00874672124727632*re (b2) + 0.220637270432784*re(b2) - 0.00874672124727632*im (b2)/|| 4 / / 2 2 \ 2 |atan2\0.220637270432784*im(b2) + 0.0174934424945526*im(b2)*re(b2), 1 + 0.00874672124727632*re (b2) + 0.220637270432784*re(b2) - 0.00874672124727632*im (b2)/|
x2 = -1571.28235294118 - 234.566176470588*re(b2) + I*|-234.566176470588*im(b2) + 2508.08785796124*\/ \1 + 0.00874672124727632*re (b2) + 0.220637270432784*re(b2) - 0.00874672124727632*im (b2)/ + 0.0486808051040294*(0.0792859812861125*im(b2)*re(b2) + im(b2)) *sin|------------------------------------------------------------------------------------------------------------------------------------------------------------|| + 2508.08785796124*\/ \1 + 0.00874672124727632*re (b2) + 0.220637270432784*re(b2) - 0.00874672124727632*im (b2)/ + 0.0486808051040294*(0.0792859812861125*im(b2)*re(b2) + im(b2)) *cos|------------------------------------------------------------------------------------------------------------------------------------------------------------|
\ \ 2 // \ 2 /
$$x_{2} = i \left(2508.08785796124 \sqrt[4]{0.0486808051040294 \left(0.0792859812861125 \operatorname{re}{\left(b_{2}\right)} \operatorname{im}{\left(b_{2}\right)} + \operatorname{im}{\left(b_{2}\right)}\right)^{2} + \left(0.00874672124727632 \left(\operatorname{re}{\left(b_{2}\right)}\right)^{2} + 0.220637270432784 \operatorname{re}{\left(b_{2}\right)} - 0.00874672124727632 \left(\operatorname{im}{\left(b_{2}\right)}\right)^{2} + 1\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(0.0174934424945526 \operatorname{re}{\left(b_{2}\right)} \operatorname{im}{\left(b_{2}\right)} + 0.220637270432784 \operatorname{im}{\left(b_{2}\right)},0.00874672124727632 \left(\operatorname{re}{\left(b_{2}\right)}\right)^{2} + 0.220637270432784 \operatorname{re}{\left(b_{2}\right)} - 0.00874672124727632 \left(\operatorname{im}{\left(b_{2}\right)}\right)^{2} + 1 \right)}}{2} \right)} - 234.566176470588 \operatorname{im}{\left(b_{2}\right)}\right) + 2508.08785796124 \sqrt[4]{0.0486808051040294 \left(0.0792859812861125 \operatorname{re}{\left(b_{2}\right)} \operatorname{im}{\left(b_{2}\right)} + \operatorname{im}{\left(b_{2}\right)}\right)^{2} + \left(0.00874672124727632 \left(\operatorname{re}{\left(b_{2}\right)}\right)^{2} + 0.220637270432784 \operatorname{re}{\left(b_{2}\right)} - 0.00874672124727632 \left(\operatorname{im}{\left(b_{2}\right)}\right)^{2} + 1\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(0.0174934424945526 \operatorname{re}{\left(b_{2}\right)} \operatorname{im}{\left(b_{2}\right)} + 0.220637270432784 \operatorname{im}{\left(b_{2}\right)},0.00874672124727632 \left(\operatorname{re}{\left(b_{2}\right)}\right)^{2} + 0.220637270432784 \operatorname{re}{\left(b_{2}\right)} - 0.00874672124727632 \left(\operatorname{im}{\left(b_{2}\right)}\right)^{2} + 1 \right)}}{2} \right)} - 234.566176470588 \operatorname{re}{\left(b_{2}\right)} - 1571.28235294118$$
x2 = i*(2508.08785796124*(0.0486808051040294*(0.0792859812861125*re(b2)*im(b2) + im(b2))^2 + (0.00874672124727632*re(b2)^2 + 0.220637270432784*re(b2) - 0.00874672124727632*im(b2)^2 + 1)^2)^(1/4)*sin(atan2(0.0174934424945526*re(b2)*im(b2) + 0.220637270432784*im(b2, 0.00874672124727632*re(b2)^2 + 0.220637270432784*re(b2) - 0.00874672124727632*im(b2)^2 + 1)/2) - 234.566176470588*im(b2)) + 2508.08785796124*(0.0486808051040294*(0.0792859812861125*re(b2)*im(b2) + im(b2))^2 + (0.00874672124727632*re(b2)^2 + 0.220637270432784*re(b2) - 0.00874672124727632*im(b2)^2 + 1)^2)^(1/4)*cos(atan2(0.0174934424945526*re(b2)*im(b2) + 0.220637270432784*im(b2), 0.00874672124727632*re(b2)^2 + 0.220637270432784*re(b2) - 0.00874672124727632*im(b2)^2 + 1)/2) - 234.566176470588*re(b2) - 1571.28235294118)
Suma y producto de raíces
[src]
suma
/ _______________________________________________________________________________________________________________________________________________________________ \ _______________________________________________________________________________________________________________________________________________________________ / _______________________________________________________________________________________________________________________________________________________________ \ _______________________________________________________________________________________________________________________________________________________________
| / 2 / / 2 2 \\| / 2 / / 2 2 \\ | / 2 / / 2 2 \\| / 2 / / 2 2 \\
| 4 / / 2 2 \ 2 |atan2\0.220637270432784*im(b2) + 0.0174934424945526*im(b2)*re(b2), 1 + 0.00874672124727632*re (b2) + 0.220637270432784*re(b2) - 0.00874672124727632*im (b2)/|| 4 / / 2 2 \ 2 |atan2\0.220637270432784*im(b2) + 0.0174934424945526*im(b2)*re(b2), 1 + 0.00874672124727632*re (b2) + 0.220637270432784*re(b2) - 0.00874672124727632*im (b2)/| | 4 / / 2 2 \ 2 |atan2\0.220637270432784*im(b2) + 0.0174934424945526*im(b2)*re(b2), 1 + 0.00874672124727632*re (b2) + 0.220637270432784*re(b2) - 0.00874672124727632*im (b2)/|| 4 / / 2 2 \ 2 |atan2\0.220637270432784*im(b2) + 0.0174934424945526*im(b2)*re(b2), 1 + 0.00874672124727632*re (b2) + 0.220637270432784*re(b2) - 0.00874672124727632*im (b2)/|
-1571.28235294118 - 234.566176470588*re(b2) + I*|-234.566176470588*im(b2) - 2508.08785796124*\/ \1 + 0.00874672124727632*re (b2) + 0.220637270432784*re(b2) - 0.00874672124727632*im (b2)/ + 0.0486808051040294*(0.0792859812861125*im(b2)*re(b2) + im(b2)) *sin|------------------------------------------------------------------------------------------------------------------------------------------------------------|| - 2508.08785796124*\/ \1 + 0.00874672124727632*re (b2) + 0.220637270432784*re(b2) - 0.00874672124727632*im (b2)/ + 0.0486808051040294*(0.0792859812861125*im(b2)*re(b2) + im(b2)) *cos|------------------------------------------------------------------------------------------------------------------------------------------------------------| + -1571.28235294118 - 234.566176470588*re(b2) + I*|-234.566176470588*im(b2) + 2508.08785796124*\/ \1 + 0.00874672124727632*re (b2) + 0.220637270432784*re(b2) - 0.00874672124727632*im (b2)/ + 0.0486808051040294*(0.0792859812861125*im(b2)*re(b2) + im(b2)) *sin|------------------------------------------------------------------------------------------------------------------------------------------------------------|| + 2508.08785796124*\/ \1 + 0.00874672124727632*re (b2) + 0.220637270432784*re(b2) - 0.00874672124727632*im (b2)/ + 0.0486808051040294*(0.0792859812861125*im(b2)*re(b2) + im(b2)) *cos|------------------------------------------------------------------------------------------------------------------------------------------------------------|
\ \ 2 // \ 2 / \ \ 2 // \ 2 /
$$\left(i \left(- 2508.08785796124 \sqrt[4]{0.0486808051040294 \left(0.0792859812861125 \operatorname{re}{\left(b_{2}\right)} \operatorname{im}{\left(b_{2}\right)} + \operatorname{im}{\left(b_{2}\right)}\right)^{2} + \left(0.00874672124727632 \left(\operatorname{re}{\left(b_{2}\right)}\right)^{2} + 0.220637270432784 \operatorname{re}{\left(b_{2}\right)} - 0.00874672124727632 \left(\operatorname{im}{\left(b_{2}\right)}\right)^{2} + 1\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(0.0174934424945526 \operatorname{re}{\left(b_{2}\right)} \operatorname{im}{\left(b_{2}\right)} + 0.220637270432784 \operatorname{im}{\left(b_{2}\right)},0.00874672124727632 \left(\operatorname{re}{\left(b_{2}\right)}\right)^{2} + 0.220637270432784 \operatorname{re}{\left(b_{2}\right)} - 0.00874672124727632 \left(\operatorname{im}{\left(b_{2}\right)}\right)^{2} + 1 \right)}}{2} \right)} - 234.566176470588 \operatorname{im}{\left(b_{2}\right)}\right) - 2508.08785796124 \sqrt[4]{0.0486808051040294 \left(0.0792859812861125 \operatorname{re}{\left(b_{2}\right)} \operatorname{im}{\left(b_{2}\right)} + \operatorname{im}{\left(b_{2}\right)}\right)^{2} + \left(0.00874672124727632 \left(\operatorname{re}{\left(b_{2}\right)}\right)^{2} + 0.220637270432784 \operatorname{re}{\left(b_{2}\right)} - 0.00874672124727632 \left(\operatorname{im}{\left(b_{2}\right)}\right)^{2} + 1\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(0.0174934424945526 \operatorname{re}{\left(b_{2}\right)} \operatorname{im}{\left(b_{2}\right)} + 0.220637270432784 \operatorname{im}{\left(b_{2}\right)},0.00874672124727632 \left(\operatorname{re}{\left(b_{2}\right)}\right)^{2} + 0.220637270432784 \operatorname{re}{\left(b_{2}\right)} - 0.00874672124727632 \left(\operatorname{im}{\left(b_{2}\right)}\right)^{2} + 1 \right)}}{2} \right)} - 234.566176470588 \operatorname{re}{\left(b_{2}\right)} - 1571.28235294118\right) + \left(i \left(2508.08785796124 \sqrt[4]{0.0486808051040294 \left(0.0792859812861125 \operatorname{re}{\left(b_{2}\right)} \operatorname{im}{\left(b_{2}\right)} + \operatorname{im}{\left(b_{2}\right)}\right)^{2} + \left(0.00874672124727632 \left(\operatorname{re}{\left(b_{2}\right)}\right)^{2} + 0.220637270432784 \operatorname{re}{\left(b_{2}\right)} - 0.00874672124727632 \left(\operatorname{im}{\left(b_{2}\right)}\right)^{2} + 1\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(0.0174934424945526 \operatorname{re}{\left(b_{2}\right)} \operatorname{im}{\left(b_{2}\right)} + 0.220637270432784 \operatorname{im}{\left(b_{2}\right)},0.00874672124727632 \left(\operatorname{re}{\left(b_{2}\right)}\right)^{2} + 0.220637270432784 \operatorname{re}{\left(b_{2}\right)} - 0.00874672124727632 \left(\operatorname{im}{\left(b_{2}\right)}\right)^{2} + 1 \right)}}{2} \right)} - 234.566176470588 \operatorname{im}{\left(b_{2}\right)}\right) + 2508.08785796124 \sqrt[4]{0.0486808051040294 \left(0.0792859812861125 \operatorname{re}{\left(b_{2}\right)} \operatorname{im}{\left(b_{2}\right)} + \operatorname{im}{\left(b_{2}\right)}\right)^{2} + \left(0.00874672124727632 \left(\operatorname{re}{\left(b_{2}\right)}\right)^{2} + 0.220637270432784 \operatorname{re}{\left(b_{2}\right)} - 0.00874672124727632 \left(\operatorname{im}{\left(b_{2}\right)}\right)^{2} + 1\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(0.0174934424945526 \operatorname{re}{\left(b_{2}\right)} \operatorname{im}{\left(b_{2}\right)} + 0.220637270432784 \operatorname{im}{\left(b_{2}\right)},0.00874672124727632 \left(\operatorname{re}{\left(b_{2}\right)}\right)^{2} + 0.220637270432784 \operatorname{re}{\left(b_{2}\right)} - 0.00874672124727632 \left(\operatorname{im}{\left(b_{2}\right)}\right)^{2} + 1 \right)}}{2} \right)} - 234.566176470588 \operatorname{re}{\left(b_{2}\right)} - 1571.28235294118\right)$$
=
/ _______________________________________________________________________________________________________________________________________________________________ \ / _______________________________________________________________________________________________________________________________________________________________ \
| / 2 / / 2 2 \\| | / 2 / / 2 2 \\|
| 4 / / 2 2 \ 2 |atan2\0.220637270432784*im(b2) + 0.0174934424945526*im(b2)*re(b2), 1 + 0.00874672124727632*re (b2) + 0.220637270432784*re(b2) - 0.00874672124727632*im (b2)/|| | 4 / / 2 2 \ 2 |atan2\0.220637270432784*im(b2) + 0.0174934424945526*im(b2)*re(b2), 1 + 0.00874672124727632*re (b2) + 0.220637270432784*re(b2) - 0.00874672124727632*im (b2)/||
-3142.56470588235 - 469.132352941176*re(b2) + I*|-234.566176470588*im(b2) + 2508.08785796124*\/ \1 + 0.00874672124727632*re (b2) + 0.220637270432784*re(b2) - 0.00874672124727632*im (b2)/ + 0.0486808051040294*(0.0792859812861125*im(b2)*re(b2) + im(b2)) *sin|------------------------------------------------------------------------------------------------------------------------------------------------------------|| + I*|-234.566176470588*im(b2) - 2508.08785796124*\/ \1 + 0.00874672124727632*re (b2) + 0.220637270432784*re(b2) - 0.00874672124727632*im (b2)/ + 0.0486808051040294*(0.0792859812861125*im(b2)*re(b2) + im(b2)) *sin|------------------------------------------------------------------------------------------------------------------------------------------------------------||
\ \ 2 // \ \ 2 //
$$i \left(- 2508.08785796124 \sqrt[4]{0.0486808051040294 \left(0.0792859812861125 \operatorname{re}{\left(b_{2}\right)} \operatorname{im}{\left(b_{2}\right)} + \operatorname{im}{\left(b_{2}\right)}\right)^{2} + \left(0.00874672124727632 \left(\operatorname{re}{\left(b_{2}\right)}\right)^{2} + 0.220637270432784 \operatorname{re}{\left(b_{2}\right)} - 0.00874672124727632 \left(\operatorname{im}{\left(b_{2}\right)}\right)^{2} + 1\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(0.0174934424945526 \operatorname{re}{\left(b_{2}\right)} \operatorname{im}{\left(b_{2}\right)} + 0.220637270432784 \operatorname{im}{\left(b_{2}\right)},0.00874672124727632 \left(\operatorname{re}{\left(b_{2}\right)}\right)^{2} + 0.220637270432784 \operatorname{re}{\left(b_{2}\right)} - 0.00874672124727632 \left(\operatorname{im}{\left(b_{2}\right)}\right)^{2} + 1 \right)}}{2} \right)} - 234.566176470588 \operatorname{im}{\left(b_{2}\right)}\right) + i \left(2508.08785796124 \sqrt[4]{0.0486808051040294 \left(0.0792859812861125 \operatorname{re}{\left(b_{2}\right)} \operatorname{im}{\left(b_{2}\right)} + \operatorname{im}{\left(b_{2}\right)}\right)^{2} + \left(0.00874672124727632 \left(\operatorname{re}{\left(b_{2}\right)}\right)^{2} + 0.220637270432784 \operatorname{re}{\left(b_{2}\right)} - 0.00874672124727632 \left(\operatorname{im}{\left(b_{2}\right)}\right)^{2} + 1\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(0.0174934424945526 \operatorname{re}{\left(b_{2}\right)} \operatorname{im}{\left(b_{2}\right)} + 0.220637270432784 \operatorname{im}{\left(b_{2}\right)},0.00874672124727632 \left(\operatorname{re}{\left(b_{2}\right)}\right)^{2} + 0.220637270432784 \operatorname{re}{\left(b_{2}\right)} - 0.00874672124727632 \left(\operatorname{im}{\left(b_{2}\right)}\right)^{2} + 1 \right)}}{2} \right)} - 234.566176470588 \operatorname{im}{\left(b_{2}\right)}\right) - 469.132352941176 \operatorname{re}{\left(b_{2}\right)} - 3142.56470588235$$
producto
/ / _______________________________________________________________________________________________________________________________________________________________ \ _______________________________________________________________________________________________________________________________________________________________ \ / / _______________________________________________________________________________________________________________________________________________________________ \ _______________________________________________________________________________________________________________________________________________________________ \ | | / 2 / / 2 2 \\| / 2 / / 2 2 \\| | | / 2 / / 2 2 \\| / 2 / / 2 2 \\| | | 4 / / 2 2 \ 2 |atan2\0.220637270432784*im(b2) + 0.0174934424945526*im(b2)*re(b2), 1 + 0.00874672124727632*re (b2) + 0.220637270432784*re(b2) - 0.00874672124727632*im (b2)/|| 4 / / 2 2 \ 2 |atan2\0.220637270432784*im(b2) + 0.0174934424945526*im(b2)*re(b2), 1 + 0.00874672124727632*re (b2) + 0.220637270432784*re(b2) - 0.00874672124727632*im (b2)/|| | | 4 / / 2 2 \ 2 |atan2\0.220637270432784*im(b2) + 0.0174934424945526*im(b2)*re(b2), 1 + 0.00874672124727632*re (b2) + 0.220637270432784*re(b2) - 0.00874672124727632*im (b2)/|| 4 / / 2 2 \ 2 |atan2\0.220637270432784*im(b2) + 0.0174934424945526*im(b2)*re(b2), 1 + 0.00874672124727632*re (b2) + 0.220637270432784*re(b2) - 0.00874672124727632*im (b2)/|| |-1571.28235294118 - 234.566176470588*re(b2) + I*|-234.566176470588*im(b2) - 2508.08785796124*\/ \1 + 0.00874672124727632*re (b2) + 0.220637270432784*re(b2) - 0.00874672124727632*im (b2)/ + 0.0486808051040294*(0.0792859812861125*im(b2)*re(b2) + im(b2)) *sin|------------------------------------------------------------------------------------------------------------------------------------------------------------|| - 2508.08785796124*\/ \1 + 0.00874672124727632*re (b2) + 0.220637270432784*re(b2) - 0.00874672124727632*im (b2)/ + 0.0486808051040294*(0.0792859812861125*im(b2)*re(b2) + im(b2)) *cos|------------------------------------------------------------------------------------------------------------------------------------------------------------||*|-1571.28235294118 - 234.566176470588*re(b2) + I*|-234.566176470588*im(b2) + 2508.08785796124*\/ \1 + 0.00874672124727632*re (b2) + 0.220637270432784*re(b2) - 0.00874672124727632*im (b2)/ + 0.0486808051040294*(0.0792859812861125*im(b2)*re(b2) + im(b2)) *sin|------------------------------------------------------------------------------------------------------------------------------------------------------------|| + 2508.08785796124*\/ \1 + 0.00874672124727632*re (b2) + 0.220637270432784*re(b2) - 0.00874672124727632*im (b2)/ + 0.0486808051040294*(0.0792859812861125*im(b2)*re(b2) + im(b2)) *cos|------------------------------------------------------------------------------------------------------------------------------------------------------------|| \ \ \ 2 // \ 2 // \ \ \ 2 // \ 2 //
$$\left(i \left(- 2508.08785796124 \sqrt[4]{0.0486808051040294 \left(0.0792859812861125 \operatorname{re}{\left(b_{2}\right)} \operatorname{im}{\left(b_{2}\right)} + \operatorname{im}{\left(b_{2}\right)}\right)^{2} + \left(0.00874672124727632 \left(\operatorname{re}{\left(b_{2}\right)}\right)^{2} + 0.220637270432784 \operatorname{re}{\left(b_{2}\right)} - 0.00874672124727632 \left(\operatorname{im}{\left(b_{2}\right)}\right)^{2} + 1\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(0.0174934424945526 \operatorname{re}{\left(b_{2}\right)} \operatorname{im}{\left(b_{2}\right)} + 0.220637270432784 \operatorname{im}{\left(b_{2}\right)},0.00874672124727632 \left(\operatorname{re}{\left(b_{2}\right)}\right)^{2} + 0.220637270432784 \operatorname{re}{\left(b_{2}\right)} - 0.00874672124727632 \left(\operatorname{im}{\left(b_{2}\right)}\right)^{2} + 1 \right)}}{2} \right)} - 234.566176470588 \operatorname{im}{\left(b_{2}\right)}\right) - 2508.08785796124 \sqrt[4]{0.0486808051040294 \left(0.0792859812861125 \operatorname{re}{\left(b_{2}\right)} \operatorname{im}{\left(b_{2}\right)} + \operatorname{im}{\left(b_{2}\right)}\right)^{2} + \left(0.00874672124727632 \left(\operatorname{re}{\left(b_{2}\right)}\right)^{2} + 0.220637270432784 \operatorname{re}{\left(b_{2}\right)} - 0.00874672124727632 \left(\operatorname{im}{\left(b_{2}\right)}\right)^{2} + 1\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(0.0174934424945526 \operatorname{re}{\left(b_{2}\right)} \operatorname{im}{\left(b_{2}\right)} + 0.220637270432784 \operatorname{im}{\left(b_{2}\right)},0.00874672124727632 \left(\operatorname{re}{\left(b_{2}\right)}\right)^{2} + 0.220637270432784 \operatorname{re}{\left(b_{2}\right)} - 0.00874672124727632 \left(\operatorname{im}{\left(b_{2}\right)}\right)^{2} + 1 \right)}}{2} \right)} - 234.566176470588 \operatorname{re}{\left(b_{2}\right)} - 1571.28235294118\right) \left(i \left(2508.08785796124 \sqrt[4]{0.0486808051040294 \left(0.0792859812861125 \operatorname{re}{\left(b_{2}\right)} \operatorname{im}{\left(b_{2}\right)} + \operatorname{im}{\left(b_{2}\right)}\right)^{2} + \left(0.00874672124727632 \left(\operatorname{re}{\left(b_{2}\right)}\right)^{2} + 0.220637270432784 \operatorname{re}{\left(b_{2}\right)} - 0.00874672124727632 \left(\operatorname{im}{\left(b_{2}\right)}\right)^{2} + 1\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(0.0174934424945526 \operatorname{re}{\left(b_{2}\right)} \operatorname{im}{\left(b_{2}\right)} + 0.220637270432784 \operatorname{im}{\left(b_{2}\right)},0.00874672124727632 \left(\operatorname{re}{\left(b_{2}\right)}\right)^{2} + 0.220637270432784 \operatorname{re}{\left(b_{2}\right)} - 0.00874672124727632 \left(\operatorname{im}{\left(b_{2}\right)}\right)^{2} + 1 \right)}}{2} \right)} - 234.566176470588 \operatorname{im}{\left(b_{2}\right)}\right) + 2508.08785796124 \sqrt[4]{0.0486808051040294 \left(0.0792859812861125 \operatorname{re}{\left(b_{2}\right)} \operatorname{im}{\left(b_{2}\right)} + \operatorname{im}{\left(b_{2}\right)}\right)^{2} + \left(0.00874672124727632 \left(\operatorname{re}{\left(b_{2}\right)}\right)^{2} + 0.220637270432784 \operatorname{re}{\left(b_{2}\right)} - 0.00874672124727632 \left(\operatorname{im}{\left(b_{2}\right)}\right)^{2} + 1\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(0.0174934424945526 \operatorname{re}{\left(b_{2}\right)} \operatorname{im}{\left(b_{2}\right)} + 0.220637270432784 \operatorname{im}{\left(b_{2}\right)},0.00874672124727632 \left(\operatorname{re}{\left(b_{2}\right)}\right)^{2} + 0.220637270432784 \operatorname{re}{\left(b_{2}\right)} - 0.00874672124727632 \left(\operatorname{im}{\left(b_{2}\right)}\right)^{2} + 1 \right)}}{2} \right)} - 234.566176470588 \operatorname{re}{\left(b_{2}\right)} - 1571.28235294118\right)$$
=
2 2 -3821576.47058824 + 1.45519152283669e-11*re (b2) - 1.45519152283669e-11*im (b2) - 650780.399999999*re(b2) - 650780.399999999*I*im(b2) + 2.91038304567337e-11*I*im(b2)*re(b2)
$$1.45519152283669 \cdot 10^{-11} \left(\operatorname{re}{\left(b_{2}\right)}\right)^{2} + 2.91038304567337 \cdot 10^{-11} i \operatorname{re}{\left(b_{2}\right)} \operatorname{im}{\left(b_{2}\right)} - 650780.399999999 \operatorname{re}{\left(b_{2}\right)} - 1.45519152283669 \cdot 10^{-11} \left(\operatorname{im}{\left(b_{2}\right)}\right)^{2} - 650780.399999999 i \operatorname{im}{\left(b_{2}\right)} - 3821576.47058824$$
-3821576.47058824 + 1.45519152283669e-11*re(b2)^2 - 1.45519152283669e-11*im(b2)^2 - 650780.399999999*re(b2) - 650780.399999999*i*im(b2) + 2.91038304567337e-11*i*im(b2)*re(b2)