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- La ecuación:
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Ecuación (x-3)*(x+2)=0
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Ecuación z^2-6*z+10=0
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Ecuación 4/(x-4)=-5
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Ecuación (x-6)^2=-24*x
- Expresar {x} en función de y en la ecuación:
- -7*x-13*y=5
- 15*x+1*y=19
- 7*x-1*y=-7
- -14*x-12*y=5
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Expresiones idénticas
- (trece , nueve * mil *cos dos 7* uno ,3x)/2,2 nueve x^ cuatro +(trece ,9* mil *sin27* cero ,8x)/ cero ,8 cuatro x^4= doce * diez ^ seis
- (13,9 multiplicar por 1000 multiplicar por coseno de 27 multiplicar por 1,3x) dividir por 2,29x en el grado 4 más (13,9 multiplicar por 1000 multiplicar por seno de 27 multiplicar por 0,8x) dividir por 0,84x en el grado 4 es igual a 12 multiplicar por 10 en el grado 6
- (trece , nueve multiplicar por mil multiplicar por coseno de dos 7 multiplicar por uno ,3x) dividir por 2,2 nueve x en el grado cuatro más (trece ,9 multiplicar por mil multiplicar por seno de 27 multiplicar por cero ,8x) dividir por cero ,8 cuatro x en el grado 4 es igual a doce multiplicar por diez en el grado seis
- (13,9*1000*cos27*1,3x)/2,29x4+(13,9*1000*sin27*0,8x)/0,84x4=12*106
- 13,9*1000*cos27*1,3x/2,29x4+13,9*1000*sin27*0,8x/0,84x4=12*106
- (13,9*1000*cos27*1,3x)/2,29x⁴+(13,9*1000*sin27*0,8x)/0,84x⁴=12*10⁶
- (13,91000cos271,3x)/2,29x^4+(13,91000sin270,8x)/0,84x^4=1210^6
- (13,91000cos271,3x)/2,29x4+(13,91000sin270,8x)/0,84x4=12106
- 13,91000cos271,3x/2,29x4+13,91000sin270,8x/0,84x4=12106
- 13,91000cos271,3x/2,29x^4+13,91000sin270,8x/0,84x^4=1210^6
- (13,9*1000*cos27*1,3x) dividir por 2,29x^4+(13,9*1000*sin27*0,8x) dividir por 0,84x^4=12*10^6
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Expresiones semejantes
- (13,9*1000*cos27*1,3x)/2,29x^4-(13,9*1000*sin27*0,8x)/0,84x^4=12*10^6
(13,9*1000*cos27*1,3x)/2,29x^4+(13,9*1000*sin27*0,8x)/0,84x^4=12*10^6 la ecuación
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Solución
Ha introducido
[src]
139*1000 139*1000
--------*cos(27)*13 --------*sin(27)*4
10 10
-------------------*x ------------------*x
10 4 5 4
---------------------*x + --------------------*x = 12000000
/229\ /21\
|---| |--|
\100/ \25/
$$x^{4} \frac{x \frac{4 \frac{139 \cdot 1000}{10} \sin{\left(27 \right)}}{5}}{\frac{21}{25}} + x^{4} \frac{x \frac{13 \frac{139 \cdot 1000}{10} \cos{\left(27 \right)}}{10}}{\frac{229}{100}} = 12000000$$
Respuesta rápida
[src]
5 _________
2*\/ 1803375
x1 = ---------------------------------
5 _______________________________
\/ 37947*cos(27) + 63662*sin(27)
$$x_{1} = \frac{2 \sqrt[5]{1803375}}{\sqrt[5]{37947 \cos{\left(27 \right)} + 63662 \sin{\left(27 \right)}}}$$
___________
/ ___
5 _________ / 5 \/ 5
5 _________ 10___ 5 _______ 2*I*\/ 1803375 * / - + -----
\/ 1803375 5*\/ 5 *\/ 14427 \/ 8 8
x2 = - ----------------------------------- + ----------------------------------- - ---------------------------------
5 _______________________________ 5 _______________________________ 5 _______________________________
2*\/ 37947*cos(27) + 63662*sin(27) 2*\/ 37947*cos(27) + 63662*sin(27) \/ 37947*cos(27) + 63662*sin(27)
$$x_{2} = - \frac{\sqrt[5]{1803375}}{2 \sqrt[5]{37947 \cos{\left(27 \right)} + 63662 \sin{\left(27 \right)}}} + \frac{5 \sqrt[5]{14427} \sqrt[10]{5}}{2 \sqrt[5]{37947 \cos{\left(27 \right)} + 63662 \sin{\left(27 \right)}}} - \frac{2 \sqrt[5]{1803375} i \sqrt{\frac{\sqrt{5}}{8} + \frac{5}{8}}}{\sqrt[5]{37947 \cos{\left(27 \right)} + 63662 \sin{\left(27 \right)}}}$$
___________
/ ___
5 _________ / 5 \/ 5
5 _________ 10___ 5 _______ 2*I*\/ 1803375 * / - + -----
\/ 1803375 5*\/ 5 *\/ 14427 \/ 8 8
x3 = - ----------------------------------- + ----------------------------------- + ---------------------------------
5 _______________________________ 5 _______________________________ 5 _______________________________
2*\/ 37947*cos(27) + 63662*sin(27) 2*\/ 37947*cos(27) + 63662*sin(27) \/ 37947*cos(27) + 63662*sin(27)
$$x_{3} = - \frac{\sqrt[5]{1803375}}{2 \sqrt[5]{37947 \cos{\left(27 \right)} + 63662 \sin{\left(27 \right)}}} + \frac{5 \sqrt[5]{14427} \sqrt[10]{5}}{2 \sqrt[5]{37947 \cos{\left(27 \right)} + 63662 \sin{\left(27 \right)}}} + \frac{2 \sqrt[5]{1803375} i \sqrt{\frac{\sqrt{5}}{8} + \frac{5}{8}}}{\sqrt[5]{37947 \cos{\left(27 \right)} + 63662 \sin{\left(27 \right)}}}$$
___________
/ ___
5 _________ / 5 \/ 5
5 _________ 10___ 5 _______ 2*I*\/ 1803375 * / - - -----
\/ 1803375 5*\/ 5 *\/ 14427 \/ 8 8
x4 = - ----------------------------------- - ----------------------------------- - ---------------------------------
5 _______________________________ 5 _______________________________ 5 _______________________________
2*\/ 37947*cos(27) + 63662*sin(27) 2*\/ 37947*cos(27) + 63662*sin(27) \/ 37947*cos(27) + 63662*sin(27)
$$x_{4} = - \frac{5 \sqrt[5]{14427} \sqrt[10]{5}}{2 \sqrt[5]{37947 \cos{\left(27 \right)} + 63662 \sin{\left(27 \right)}}} - \frac{\sqrt[5]{1803375}}{2 \sqrt[5]{37947 \cos{\left(27 \right)} + 63662 \sin{\left(27 \right)}}} - \frac{2 \sqrt[5]{1803375} i \sqrt{\frac{5}{8} - \frac{\sqrt{5}}{8}}}{\sqrt[5]{37947 \cos{\left(27 \right)} + 63662 \sin{\left(27 \right)}}}$$
___________
/ ___
5 _________ / 5 \/ 5
5 _________ 10___ 5 _______ 2*I*\/ 1803375 * / - - -----
\/ 1803375 5*\/ 5 *\/ 14427 \/ 8 8
x5 = - ----------------------------------- - ----------------------------------- + ---------------------------------
5 _______________________________ 5 _______________________________ 5 _______________________________
2*\/ 37947*cos(27) + 63662*sin(27) 2*\/ 37947*cos(27) + 63662*sin(27) \/ 37947*cos(27) + 63662*sin(27)
$$x_{5} = - \frac{5 \sqrt[5]{14427} \sqrt[10]{5}}{2 \sqrt[5]{37947 \cos{\left(27 \right)} + 63662 \sin{\left(27 \right)}}} - \frac{\sqrt[5]{1803375}}{2 \sqrt[5]{37947 \cos{\left(27 \right)} + 63662 \sin{\left(27 \right)}}} + \frac{2 \sqrt[5]{1803375} i \sqrt{\frac{5}{8} - \frac{\sqrt{5}}{8}}}{\sqrt[5]{37947 \cos{\left(27 \right)} + 63662 \sin{\left(27 \right)}}}$$
x5 = -5*14427^(1/5)*5^(1/10)/(2*(37947*cos(27) + 63662*sin(27))^(1/5)) - 1803375^(1/5)/(2*(37947*cos(27) + 63662*sin(27))^(1/5)) + 2*1803375^(1/5)*i*sqrt(5/8 - sqrt(5)/8)/(37947*cos(27) + 63662*sin(27))^(1/5)
Suma y producto de raíces
[src]
suma
___________ ___________ ___________ ___________
/ ___ / ___ / ___ / ___
5 _________ / 5 \/ 5 5 _________ / 5 \/ 5 5 _________ / 5 \/ 5 5 _________ / 5 \/ 5
5 _________ 5 _________ 10___ 5 _______ 2*I*\/ 1803375 * / - + ----- 5 _________ 10___ 5 _______ 2*I*\/ 1803375 * / - + ----- 5 _________ 10___ 5 _______ 2*I*\/ 1803375 * / - - ----- 5 _________ 10___ 5 _______ 2*I*\/ 1803375 * / - - -----
2*\/ 1803375 \/ 1803375 5*\/ 5 *\/ 14427 \/ 8 8 \/ 1803375 5*\/ 5 *\/ 14427 \/ 8 8 \/ 1803375 5*\/ 5 *\/ 14427 \/ 8 8 \/ 1803375 5*\/ 5 *\/ 14427 \/ 8 8
--------------------------------- + - ----------------------------------- + ----------------------------------- - --------------------------------- + - ----------------------------------- + ----------------------------------- + --------------------------------- + - ----------------------------------- - ----------------------------------- - --------------------------------- + - ----------------------------------- - ----------------------------------- + ---------------------------------
5 _______________________________ 5 _______________________________ 5 _______________________________ 5 _______________________________ 5 _______________________________ 5 _______________________________ 5 _______________________________ 5 _______________________________ 5 _______________________________ 5 _______________________________ 5 _______________________________ 5 _______________________________ 5 _______________________________
\/ 37947*cos(27) + 63662*sin(27) 2*\/ 37947*cos(27) + 63662*sin(27) 2*\/ 37947*cos(27) + 63662*sin(27) \/ 37947*cos(27) + 63662*sin(27) 2*\/ 37947*cos(27) + 63662*sin(27) 2*\/ 37947*cos(27) + 63662*sin(27) \/ 37947*cos(27) + 63662*sin(27) 2*\/ 37947*cos(27) + 63662*sin(27) 2*\/ 37947*cos(27) + 63662*sin(27) \/ 37947*cos(27) + 63662*sin(27) 2*\/ 37947*cos(27) + 63662*sin(27) 2*\/ 37947*cos(27) + 63662*sin(27) \/ 37947*cos(27) + 63662*sin(27)
$$\left(\left(- \frac{5 \sqrt[5]{14427} \sqrt[10]{5}}{2 \sqrt[5]{37947 \cos{\left(27 \right)} + 63662 \sin{\left(27 \right)}}} - \frac{\sqrt[5]{1803375}}{2 \sqrt[5]{37947 \cos{\left(27 \right)} + 63662 \sin{\left(27 \right)}}} - \frac{2 \sqrt[5]{1803375} i \sqrt{\frac{5}{8} - \frac{\sqrt{5}}{8}}}{\sqrt[5]{37947 \cos{\left(27 \right)} + 63662 \sin{\left(27 \right)}}}\right) + \left(\left(\frac{2 \sqrt[5]{1803375}}{\sqrt[5]{37947 \cos{\left(27 \right)} + 63662 \sin{\left(27 \right)}}} + \left(- \frac{\sqrt[5]{1803375}}{2 \sqrt[5]{37947 \cos{\left(27 \right)} + 63662 \sin{\left(27 \right)}}} + \frac{5 \sqrt[5]{14427} \sqrt[10]{5}}{2 \sqrt[5]{37947 \cos{\left(27 \right)} + 63662 \sin{\left(27 \right)}}} - \frac{2 \sqrt[5]{1803375} i \sqrt{\frac{\sqrt{5}}{8} + \frac{5}{8}}}{\sqrt[5]{37947 \cos{\left(27 \right)} + 63662 \sin{\left(27 \right)}}}\right)\right) + \left(- \frac{\sqrt[5]{1803375}}{2 \sqrt[5]{37947 \cos{\left(27 \right)} + 63662 \sin{\left(27 \right)}}} + \frac{5 \sqrt[5]{14427} \sqrt[10]{5}}{2 \sqrt[5]{37947 \cos{\left(27 \right)} + 63662 \sin{\left(27 \right)}}} + \frac{2 \sqrt[5]{1803375} i \sqrt{\frac{\sqrt{5}}{8} + \frac{5}{8}}}{\sqrt[5]{37947 \cos{\left(27 \right)} + 63662 \sin{\left(27 \right)}}}\right)\right)\right) + \left(- \frac{5 \sqrt[5]{14427} \sqrt[10]{5}}{2 \sqrt[5]{37947 \cos{\left(27 \right)} + 63662 \sin{\left(27 \right)}}} - \frac{\sqrt[5]{1803375}}{2 \sqrt[5]{37947 \cos{\left(27 \right)} + 63662 \sin{\left(27 \right)}}} + \frac{2 \sqrt[5]{1803375} i \sqrt{\frac{5}{8} - \frac{\sqrt{5}}{8}}}{\sqrt[5]{37947 \cos{\left(27 \right)} + 63662 \sin{\left(27 \right)}}}\right)$$
=
0
$$0$$
producto
/ ___________\ / ___________\ / ___________\ / ___________\
| / ___ | | / ___ | | / ___ | | / ___ |
| 5 _________ / 5 \/ 5 | | 5 _________ / 5 \/ 5 | | 5 _________ / 5 \/ 5 | | 5 _________ / 5 \/ 5 |
5 _________ | 5 _________ 10___ 5 _______ 2*I*\/ 1803375 * / - + ----- | | 5 _________ 10___ 5 _______ 2*I*\/ 1803375 * / - + ----- | | 5 _________ 10___ 5 _______ 2*I*\/ 1803375 * / - - ----- | | 5 _________ 10___ 5 _______ 2*I*\/ 1803375 * / - - ----- |
2*\/ 1803375 | \/ 1803375 5*\/ 5 *\/ 14427 \/ 8 8 | | \/ 1803375 5*\/ 5 *\/ 14427 \/ 8 8 | | \/ 1803375 5*\/ 5 *\/ 14427 \/ 8 8 | | \/ 1803375 5*\/ 5 *\/ 14427 \/ 8 8 |
---------------------------------*|- ----------------------------------- + ----------------------------------- - ---------------------------------|*|- ----------------------------------- + ----------------------------------- + ---------------------------------|*|- ----------------------------------- - ----------------------------------- - ---------------------------------|*|- ----------------------------------- - ----------------------------------- + ---------------------------------|
5 _______________________________ | 5 _______________________________ 5 _______________________________ 5 _______________________________| | 5 _______________________________ 5 _______________________________ 5 _______________________________| | 5 _______________________________ 5 _______________________________ 5 _______________________________| | 5 _______________________________ 5 _______________________________ 5 _______________________________|
\/ 37947*cos(27) + 63662*sin(27) \ 2*\/ 37947*cos(27) + 63662*sin(27) 2*\/ 37947*cos(27) + 63662*sin(27) \/ 37947*cos(27) + 63662*sin(27) / \ 2*\/ 37947*cos(27) + 63662*sin(27) 2*\/ 37947*cos(27) + 63662*sin(27) \/ 37947*cos(27) + 63662*sin(27) / \ 2*\/ 37947*cos(27) + 63662*sin(27) 2*\/ 37947*cos(27) + 63662*sin(27) \/ 37947*cos(27) + 63662*sin(27) / \ 2*\/ 37947*cos(27) + 63662*sin(27) 2*\/ 37947*cos(27) + 63662*sin(27) \/ 37947*cos(27) + 63662*sin(27) /
$$\frac{2 \sqrt[5]{1803375}}{\sqrt[5]{37947 \cos{\left(27 \right)} + 63662 \sin{\left(27 \right)}}} \left(- \frac{\sqrt[5]{1803375}}{2 \sqrt[5]{37947 \cos{\left(27 \right)} + 63662 \sin{\left(27 \right)}}} + \frac{5 \sqrt[5]{14427} \sqrt[10]{5}}{2 \sqrt[5]{37947 \cos{\left(27 \right)} + 63662 \sin{\left(27 \right)}}} - \frac{2 \sqrt[5]{1803375} i \sqrt{\frac{\sqrt{5}}{8} + \frac{5}{8}}}{\sqrt[5]{37947 \cos{\left(27 \right)} + 63662 \sin{\left(27 \right)}}}\right) \left(- \frac{\sqrt[5]{1803375}}{2 \sqrt[5]{37947 \cos{\left(27 \right)} + 63662 \sin{\left(27 \right)}}} + \frac{5 \sqrt[5]{14427} \sqrt[10]{5}}{2 \sqrt[5]{37947 \cos{\left(27 \right)} + 63662 \sin{\left(27 \right)}}} + \frac{2 \sqrt[5]{1803375} i \sqrt{\frac{\sqrt{5}}{8} + \frac{5}{8}}}{\sqrt[5]{37947 \cos{\left(27 \right)} + 63662 \sin{\left(27 \right)}}}\right) \left(- \frac{5 \sqrt[5]{14427} \sqrt[10]{5}}{2 \sqrt[5]{37947 \cos{\left(27 \right)} + 63662 \sin{\left(27 \right)}}} - \frac{\sqrt[5]{1803375}}{2 \sqrt[5]{37947 \cos{\left(27 \right)} + 63662 \sin{\left(27 \right)}}} - \frac{2 \sqrt[5]{1803375} i \sqrt{\frac{5}{8} - \frac{\sqrt{5}}{8}}}{\sqrt[5]{37947 \cos{\left(27 \right)} + 63662 \sin{\left(27 \right)}}}\right) \left(- \frac{5 \sqrt[5]{14427} \sqrt[10]{5}}{2 \sqrt[5]{37947 \cos{\left(27 \right)} + 63662 \sin{\left(27 \right)}}} - \frac{\sqrt[5]{1803375}}{2 \sqrt[5]{37947 \cos{\left(27 \right)} + 63662 \sin{\left(27 \right)}}} + \frac{2 \sqrt[5]{1803375} i \sqrt{\frac{5}{8} - \frac{\sqrt{5}}{8}}}{\sqrt[5]{37947 \cos{\left(27 \right)} + 63662 \sin{\left(27 \right)}}}\right)$$
=
57708000 ------------------------------- 139*(273*cos(27) + 458*sin(27))
$$\frac{57708000}{139 \left(273 \cos{\left(27 \right)} + 458 \sin{\left(27 \right)}\right)}$$
57708000/(139*(273*cos(27) + 458*sin(27)))
Respuesta numérica
[src]
x1 = 1.26702569302782 - 3.8995041166098*i
x2 = -3.31711632896623 + 2.41002608333499*i
x3 = 4.10018127187682
x4 = 1.26702569302782 + 3.8995041166098*i
x5 = -3.31711632896623 - 2.41002608333499*i
x5 = -3.31711632896623 - 2.41002608333499*i