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Ecuación x^4+2*x^2-8=0
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Ecuación x*(x^2+8*x+16)=5*(x+4)
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Ecuación ((57.6/(150-x))^0.15)*((150+x)+10)/171.712=1
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Ecuación x^2+3x=4
- Expresar {x} en función de y en la ecuación:
- -18*x-2*y=9
- -14*x+10*y=19
- -9*x+1*y=3
- -17*x+1*y=-11
- Integral de d{x}:
- 2x-2
- Gráfico de la función y =:
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2x-2
- Derivada de:
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2x-2
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Expresiones idénticas
- (treinta y tres -3x)/(x- dos)- treinta /(dos x- dos)=2x-2
- (33 menos 3x) dividir por (x menos 2) menos 30 dividir por (2x menos 2) es igual a 2x menos 2
- (treinta y tres menos 3x) dividir por (x menos dos) menos treinta dividir por (dos x menos dos) es igual a 2x menos 2
- 33-3x/x-2-30/2x-2=2x-2
- (33-3x) dividir por (x-2)-30 dividir por (2x-2)=2x-2
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Expresiones semejantes
- (33-3x)/(x+2)-30/(2x-2)=2x-2
- (33-3x)/(x-2)-30/(2x+2)=2x-2
- (x^2-36)^2+(x^2-2*x-24)^2=0
- (1/(x*(x-1)*(x-4)*(x-3)*(x-2)))*(((5*(x-5))*(x-6))*(x-7)+(x-8)*((5*(x-5))*(x-6)+(x-7)*(-30+5*x+5*(x-5))))+5*(x-8)*(x-7)*(x-6)*(x-5)*(-(x*(x-1))*(x-2)*(x-3)-(x-4)*((x*(x-1))*(x-2)+(x-3)*(x*(x-1)+(-1+2*x)*(x-2))))/(x^2*(x-1)^2*(x-4)^2*(x-3)^2*(x-2)^2)=0
- (33-3x)/(x-2)-30/(2x-2)=2x+2
- 4^x+2^x-20=0
- (33+3x)/(x-2)-30/(2x-2)=2x-2
- (33-3x)/(x-2)+30/(2x-2)=2x-2
(33-3x)/(x-2)-30/(2x-2)=2x-2 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
33 - 3*x 30 -------- - ------- = 2*x - 2 x - 2 2*x - 2
$$\frac{33 - 3 x}{x - 2} - \frac{30}{2 x - 2} = 2 x - 2$$
Suma y producto de raíces
[src]
suma
/ 1 \ / / 1 \ \ / 1 \ / / 1 \ \
91*re|---------------------------------------| |91*im|---------------------------------------| / / ______\\ / / ______\\| / / ______\\ / / ______\\ 91*re|---------------------------------------| |91*im|---------------------------------------| / / ______\\ / / ______\\| / / ______\\ / / ______\\
| __________________| | | __________________| | |9*\/ 3695 || | |9*\/ 3695 ||| | |9*\/ 3695 || | |9*\/ 3695 || | __________________| | | __________________| | |9*\/ 3695 || | |9*\/ 3695 ||| | |9*\/ 3695 || | |9*\/ 3695 ||
|/ ___\ / ______ | | |/ ___\ / ______ | |atan|----------|| |atan|----------||| |atan|----------|| |atan|----------|| |/ ___\ / ______ | | |/ ___\ / ______ | |atan|----------|| |atan|----------||| |atan|----------|| |atan|----------||
|| 1 I*\/ 3 | / 337 I*\/ 3695 | | || 1 I*\/ 3 | / 337 I*\/ 3695 | ____ | \ 674 /| _____ | \ 674 /|| ____ | \ 674 /| _____ | \ 674 /| || 1 I*\/ 3 | / 337 I*\/ 3695 | | || 1 I*\/ 3 | / 337 I*\/ 3695 | ____ | \ 674 /| _____ | \ 674 /|| ____ | \ 674 /| _____ | \ 674 /| __________________
||- - - -------|*3 / --- + ---------- | | ||- - - -------|*3 / --- + ---------- | \/ 91 *sin|----------------| \/ 273 *cos|----------------|| \/ 91 *cos|----------------| \/ 273 *sin|----------------| ||- - + -------|*3 / --- + ---------- | | ||- - + -------|*3 / --- + ---------- | \/ 91 *sin|----------------| \/ 273 *cos|----------------|| \/ 91 *cos|----------------| \/ 273 *sin|----------------| / ______
5 \\ 2 2 / \/ 108 24 / | \\ 2 2 / \/ 108 24 / \ 3 / \ 3 /| \ 3 / \ 3 / 5 \\ 2 2 / \/ 108 24 / | \\ 2 2 / \/ 108 24 / \ 3 / \ 3 /| \ 3 / \ 3 / 5 / 337 I*\/ 3695 91
- + ---------------------------------------------- + I*|---------------------------------------------- - ---------------------------- - -----------------------------| - ---------------------------- + ----------------------------- + - + ---------------------------------------------- + I*|---------------------------------------------- - ---------------------------- + -----------------------------| - ---------------------------- - ----------------------------- + - + 3 / --- + ---------- + --------------------------
6 36 \ 36 12 12 / 12 12 6 36 \ 36 12 12 / 12 12 6 \/ 108 24 __________________
/ ______
/ 337 I*\/ 3695
36*3 / --- + ----------
\/ 108 24
$$\left(\frac{5}{6} + \frac{91}{36 \sqrt[3]{\frac{337}{108} + \frac{\sqrt{3695} i}{24}}} + \sqrt[3]{\frac{337}{108} + \frac{\sqrt{3695} i}{24}}\right) + \left(\left(\frac{91 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{337}{108} + \frac{\sqrt{3695} i}{24}}}\right)}}{36} - \frac{\sqrt{91} \cos{\left(\frac{\operatorname{atan}{\left(\frac{9 \sqrt{3695}}{674} \right)}}{3} \right)}}{12} - \frac{\sqrt{273} \sin{\left(\frac{\operatorname{atan}{\left(\frac{9 \sqrt{3695}}{674} \right)}}{3} \right)}}{12} + \frac{5}{6} + i \left(\frac{91 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{337}{108} + \frac{\sqrt{3695} i}{24}}}\right)}}{36} - \frac{\sqrt{91} \sin{\left(\frac{\operatorname{atan}{\left(\frac{9 \sqrt{3695}}{674} \right)}}{3} \right)}}{12} + \frac{\sqrt{273} \cos{\left(\frac{\operatorname{atan}{\left(\frac{9 \sqrt{3695}}{674} \right)}}{3} \right)}}{12}\right)\right) + \left(- \frac{\sqrt{91} \cos{\left(\frac{\operatorname{atan}{\left(\frac{9 \sqrt{3695}}{674} \right)}}{3} \right)}}{12} + \frac{91 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{337}{108} + \frac{\sqrt{3695} i}{24}}}\right)}}{36} + \frac{\sqrt{273} \sin{\left(\frac{\operatorname{atan}{\left(\frac{9 \sqrt{3695}}{674} \right)}}{3} \right)}}{12} + \frac{5}{6} + i \left(- \frac{\sqrt{273} \cos{\left(\frac{\operatorname{atan}{\left(\frac{9 \sqrt{3695}}{674} \right)}}{3} \right)}}{12} - \frac{\sqrt{91} \sin{\left(\frac{\operatorname{atan}{\left(\frac{9 \sqrt{3695}}{674} \right)}}{3} \right)}}{12} + \frac{91 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{337}{108} + \frac{\sqrt{3695} i}{24}}}\right)}}{36}\right)\right)\right)$$
=
/ 1 \ / 1 \ / / 1 \ \ / / 1 \ \
91*re|---------------------------------------| 91*re|---------------------------------------| |91*im|---------------------------------------| / / ______\\ / / ______\\| |91*im|---------------------------------------| / / ______\\ / / ______\\| / / ______\\
| __________________| | __________________| | | __________________| | |9*\/ 3695 || | |9*\/ 3695 ||| | | __________________| | |9*\/ 3695 || | |9*\/ 3695 ||| | |9*\/ 3695 ||
|/ ___\ / ______ | |/ ___\ / ______ | | |/ ___\ / ______ | |atan|----------|| |atan|----------||| | |/ ___\ / ______ | |atan|----------|| |atan|----------||| |atan|----------||
__________________ || 1 I*\/ 3 | / 337 I*\/ 3695 | || 1 I*\/ 3 | / 337 I*\/ 3695 | | || 1 I*\/ 3 | / 337 I*\/ 3695 | ____ | \ 674 /| _____ | \ 674 /|| | || 1 I*\/ 3 | / 337 I*\/ 3695 | ____ | \ 674 /| _____ | \ 674 /|| ____ | \ 674 /|
/ ______ ||- - + -------|*3 / --- + ---------- | ||- - - -------|*3 / --- + ---------- | | ||- - + -------|*3 / --- + ---------- | \/ 91 *sin|----------------| \/ 273 *cos|----------------|| | ||- - - -------|*3 / --- + ---------- | \/ 91 *sin|----------------| \/ 273 *cos|----------------|| \/ 91 *cos|----------------|
5 / 337 I*\/ 3695 91 \\ 2 2 / \/ 108 24 / \\ 2 2 / \/ 108 24 / | \\ 2 2 / \/ 108 24 / \ 3 / \ 3 /| | \\ 2 2 / \/ 108 24 / \ 3 / \ 3 /| \ 3 /
- + 3 / --- + ---------- + -------------------------- + ---------------------------------------------- + ---------------------------------------------- + I*|---------------------------------------------- - ---------------------------- + -----------------------------| + I*|---------------------------------------------- - ---------------------------- - -----------------------------| - ----------------------------
2 \/ 108 24 __________________ 36 36 \ 36 12 12 / \ 36 12 12 / 6
/ ______
/ 337 I*\/ 3695
36*3 / --- + ----------
\/ 108 24
$$- \frac{\sqrt{91} \cos{\left(\frac{\operatorname{atan}{\left(\frac{9 \sqrt{3695}}{674} \right)}}{3} \right)}}{6} + \frac{91 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{337}{108} + \frac{\sqrt{3695} i}{24}}}\right)}}{36} + \frac{91 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{337}{108} + \frac{\sqrt{3695} i}{24}}}\right)}}{36} + \frac{5}{2} + \frac{91}{36 \sqrt[3]{\frac{337}{108} + \frac{\sqrt{3695} i}{24}}} + i \left(\frac{91 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{337}{108} + \frac{\sqrt{3695} i}{24}}}\right)}}{36} - \frac{\sqrt{91} \sin{\left(\frac{\operatorname{atan}{\left(\frac{9 \sqrt{3695}}{674} \right)}}{3} \right)}}{12} + \frac{\sqrt{273} \cos{\left(\frac{\operatorname{atan}{\left(\frac{9 \sqrt{3695}}{674} \right)}}{3} \right)}}{12}\right) + i \left(- \frac{\sqrt{273} \cos{\left(\frac{\operatorname{atan}{\left(\frac{9 \sqrt{3695}}{674} \right)}}{3} \right)}}{12} - \frac{\sqrt{91} \sin{\left(\frac{\operatorname{atan}{\left(\frac{9 \sqrt{3695}}{674} \right)}}{3} \right)}}{12} + \frac{91 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{337}{108} + \frac{\sqrt{3695} i}{24}}}\right)}}{36}\right) + \sqrt[3]{\frac{337}{108} + \frac{\sqrt{3695} i}{24}}$$
producto
/ / 1 \ / / 1 \ \ \ / / 1 \ / / 1 \ \ \
| 91*re|---------------------------------------| |91*im|---------------------------------------| / / ______\\ / / ______\\| / / ______\\ / / ______\\| | 91*re|---------------------------------------| |91*im|---------------------------------------| / / ______\\ / / ______\\| / / ______\\ / / ______\\|
| | __________________| | | __________________| | |9*\/ 3695 || | |9*\/ 3695 ||| | |9*\/ 3695 || | |9*\/ 3695 ||| | | __________________| | | __________________| | |9*\/ 3695 || | |9*\/ 3695 ||| | |9*\/ 3695 || | |9*\/ 3695 |||
| |/ ___\ / ______ | | |/ ___\ / ______ | |atan|----------|| |atan|----------||| |atan|----------|| |atan|----------||| | |/ ___\ / ______ | | |/ ___\ / ______ | |atan|----------|| |atan|----------||| |atan|----------|| |atan|----------|||
| || 1 I*\/ 3 | / 337 I*\/ 3695 | | || 1 I*\/ 3 | / 337 I*\/ 3695 | ____ | \ 674 /| _____ | \ 674 /|| ____ | \ 674 /| _____ | \ 674 /|| | || 1 I*\/ 3 | / 337 I*\/ 3695 | | || 1 I*\/ 3 | / 337 I*\/ 3695 | ____ | \ 674 /| _____ | \ 674 /|| ____ | \ 674 /| _____ | \ 674 /|| / __________________ \
| ||- - - -------|*3 / --- + ---------- | | ||- - - -------|*3 / --- + ---------- | \/ 91 *sin|----------------| \/ 273 *cos|----------------|| \/ 91 *cos|----------------| \/ 273 *sin|----------------|| | ||- - + -------|*3 / --- + ---------- | | ||- - + -------|*3 / --- + ---------- | \/ 91 *sin|----------------| \/ 273 *cos|----------------|| \/ 91 *cos|----------------| \/ 273 *sin|----------------|| | / ______ |
|5 \\ 2 2 / \/ 108 24 / | \\ 2 2 / \/ 108 24 / \ 3 / \ 3 /| \ 3 / \ 3 /| |5 \\ 2 2 / \/ 108 24 / | \\ 2 2 / \/ 108 24 / \ 3 / \ 3 /| \ 3 / \ 3 /| |5 / 337 I*\/ 3695 91 |
|- + ---------------------------------------------- + I*|---------------------------------------------- - ---------------------------- - -----------------------------| - ---------------------------- + -----------------------------|*|- + ---------------------------------------------- + I*|---------------------------------------------- - ---------------------------- + -----------------------------| - ---------------------------- - -----------------------------|*|- + 3 / --- + ---------- + --------------------------|
\6 36 \ 36 12 12 / 12 12 / \6 36 \ 36 12 12 / 12 12 / |6 \/ 108 24 __________________|
| / ______ |
| / 337 I*\/ 3695 |
| 36*3 / --- + ---------- |
\ \/ 108 24 /
$$\left(- \frac{\sqrt{91} \cos{\left(\frac{\operatorname{atan}{\left(\frac{9 \sqrt{3695}}{674} \right)}}{3} \right)}}{12} + \frac{91 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{337}{108} + \frac{\sqrt{3695} i}{24}}}\right)}}{36} + \frac{\sqrt{273} \sin{\left(\frac{\operatorname{atan}{\left(\frac{9 \sqrt{3695}}{674} \right)}}{3} \right)}}{12} + \frac{5}{6} + i \left(- \frac{\sqrt{273} \cos{\left(\frac{\operatorname{atan}{\left(\frac{9 \sqrt{3695}}{674} \right)}}{3} \right)}}{12} - \frac{\sqrt{91} \sin{\left(\frac{\operatorname{atan}{\left(\frac{9 \sqrt{3695}}{674} \right)}}{3} \right)}}{12} + \frac{91 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{337}{108} + \frac{\sqrt{3695} i}{24}}}\right)}}{36}\right)\right) \left(\frac{91 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{337}{108} + \frac{\sqrt{3695} i}{24}}}\right)}}{36} - \frac{\sqrt{91} \cos{\left(\frac{\operatorname{atan}{\left(\frac{9 \sqrt{3695}}{674} \right)}}{3} \right)}}{12} - \frac{\sqrt{273} \sin{\left(\frac{\operatorname{atan}{\left(\frac{9 \sqrt{3695}}{674} \right)}}{3} \right)}}{12} + \frac{5}{6} + i \left(\frac{91 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{337}{108} + \frac{\sqrt{3695} i}{24}}}\right)}}{36} - \frac{\sqrt{91} \sin{\left(\frac{\operatorname{atan}{\left(\frac{9 \sqrt{3695}}{674} \right)}}{3} \right)}}{12} + \frac{\sqrt{273} \cos{\left(\frac{\operatorname{atan}{\left(\frac{9 \sqrt{3695}}{674} \right)}}{3} \right)}}{12}\right)\right) \left(\frac{5}{6} + \frac{91}{36 \sqrt[3]{\frac{337}{108} + \frac{\sqrt{3695} i}{24}}} + \sqrt[3]{\frac{337}{108} + \frac{\sqrt{3695} i}{24}}\right)$$
=
/ / / ______\\ / / ______\\\
| | |9*\/ 3695 || | |9*\/ 3695 |||
/ ____________________ / ____________________\\ | |2*atan|----------|| |atan|----------|||
| 3 / ______ | 3 / ______ || | | \ 674 /| ____ | \ 674 /||
\91 + \/ 674 + 9*I*\/ 3695 *\5 + \/ 674 + 9*I*\/ 3695 //*|-66 + 182*cos|------------------| - 10*\/ 91 *cos|----------------||
\ \ 3 / \ 3 //
----------------------------------------------------------------------------------------------------------------------------------
____________________
3 / ______
216*\/ 674 + 9*I*\/ 3695
$$\frac{\left(91 + \left(5 + \sqrt[3]{674 + 9 \sqrt{3695} i}\right) \sqrt[3]{674 + 9 \sqrt{3695} i}\right) \left(- 10 \sqrt{91} \cos{\left(\frac{\operatorname{atan}{\left(\frac{9 \sqrt{3695}}{674} \right)}}{3} \right)} - 66 + 182 \cos{\left(\frac{2 \operatorname{atan}{\left(\frac{9 \sqrt{3695}}{674} \right)}}{3} \right)}\right)}{216 \sqrt[3]{674 + 9 \sqrt{3695} i}}$$
(91 + (674 + 9*i*sqrt(3695))^(1/3)*(5 + (674 + 9*i*sqrt(3695))^(1/3)))*(-66 + 182*cos(2*atan(9*sqrt(3695)/674)/3) - 10*sqrt(91)*cos(atan(9*sqrt(3695)/674)/3))/(216*(674 + 9*i*sqrt(3695))^(1/3))
Respuesta rápida
[src]
/ 1 \ / / 1 \ \
91*re|---------------------------------------| |91*im|---------------------------------------| / / ______\\ / / ______\\| / / ______\\ / / ______\\
| __________________| | | __________________| | |9*\/ 3695 || | |9*\/ 3695 ||| | |9*\/ 3695 || | |9*\/ 3695 ||
|/ ___\ / ______ | | |/ ___\ / ______ | |atan|----------|| |atan|----------||| |atan|----------|| |atan|----------||
|| 1 I*\/ 3 | / 337 I*\/ 3695 | | || 1 I*\/ 3 | / 337 I*\/ 3695 | ____ | \ 674 /| _____ | \ 674 /|| ____ | \ 674 /| _____ | \ 674 /|
||- - - -------|*3 / --- + ---------- | | ||- - - -------|*3 / --- + ---------- | \/ 91 *sin|----------------| \/ 273 *cos|----------------|| \/ 91 *cos|----------------| \/ 273 *sin|----------------|
5 \\ 2 2 / \/ 108 24 / | \\ 2 2 / \/ 108 24 / \ 3 / \ 3 /| \ 3 / \ 3 /
x1 = - + ---------------------------------------------- + I*|---------------------------------------------- - ---------------------------- - -----------------------------| - ---------------------------- + -----------------------------
6 36 \ 36 12 12 / 12 12
$$x_{1} = - \frac{\sqrt{91} \cos{\left(\frac{\operatorname{atan}{\left(\frac{9 \sqrt{3695}}{674} \right)}}{3} \right)}}{12} + \frac{91 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{337}{108} + \frac{\sqrt{3695} i}{24}}}\right)}}{36} + \frac{\sqrt{273} \sin{\left(\frac{\operatorname{atan}{\left(\frac{9 \sqrt{3695}}{674} \right)}}{3} \right)}}{12} + \frac{5}{6} + i \left(- \frac{\sqrt{273} \cos{\left(\frac{\operatorname{atan}{\left(\frac{9 \sqrt{3695}}{674} \right)}}{3} \right)}}{12} - \frac{\sqrt{91} \sin{\left(\frac{\operatorname{atan}{\left(\frac{9 \sqrt{3695}}{674} \right)}}{3} \right)}}{12} + \frac{91 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{337}{108} + \frac{\sqrt{3695} i}{24}}}\right)}}{36}\right)$$
/ 1 \ / / 1 \ \
91*re|---------------------------------------| |91*im|---------------------------------------| / / ______\\ / / ______\\| / / ______\\ / / ______\\
| __________________| | | __________________| | |9*\/ 3695 || | |9*\/ 3695 ||| | |9*\/ 3695 || | |9*\/ 3695 ||
|/ ___\ / ______ | | |/ ___\ / ______ | |atan|----------|| |atan|----------||| |atan|----------|| |atan|----------||
|| 1 I*\/ 3 | / 337 I*\/ 3695 | | || 1 I*\/ 3 | / 337 I*\/ 3695 | ____ | \ 674 /| _____ | \ 674 /|| ____ | \ 674 /| _____ | \ 674 /|
||- - + -------|*3 / --- + ---------- | | ||- - + -------|*3 / --- + ---------- | \/ 91 *sin|----------------| \/ 273 *cos|----------------|| \/ 91 *cos|----------------| \/ 273 *sin|----------------|
5 \\ 2 2 / \/ 108 24 / | \\ 2 2 / \/ 108 24 / \ 3 / \ 3 /| \ 3 / \ 3 /
x2 = - + ---------------------------------------------- + I*|---------------------------------------------- - ---------------------------- + -----------------------------| - ---------------------------- - -----------------------------
6 36 \ 36 12 12 / 12 12
$$x_{2} = \frac{91 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{337}{108} + \frac{\sqrt{3695} i}{24}}}\right)}}{36} - \frac{\sqrt{91} \cos{\left(\frac{\operatorname{atan}{\left(\frac{9 \sqrt{3695}}{674} \right)}}{3} \right)}}{12} - \frac{\sqrt{273} \sin{\left(\frac{\operatorname{atan}{\left(\frac{9 \sqrt{3695}}{674} \right)}}{3} \right)}}{12} + \frac{5}{6} + i \left(\frac{91 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{337}{108} + \frac{\sqrt{3695} i}{24}}}\right)}}{36} - \frac{\sqrt{91} \sin{\left(\frac{\operatorname{atan}{\left(\frac{9 \sqrt{3695}}{674} \right)}}{3} \right)}}{12} + \frac{\sqrt{273} \cos{\left(\frac{\operatorname{atan}{\left(\frac{9 \sqrt{3695}}{674} \right)}}{3} \right)}}{12}\right)$$
__________________
/ ______
5 / 337 I*\/ 3695 91
x3 = - + 3 / --- + ---------- + --------------------------
6 \/ 108 24 __________________
/ ______
/ 337 I*\/ 3695
36*3 / --- + ----------
\/ 108 24
$$x_{3} = \frac{5}{6} + \frac{91}{36 \sqrt[3]{\frac{337}{108} + \frac{\sqrt{3695} i}{24}}} + \sqrt[3]{\frac{337}{108} + \frac{\sqrt{3695} i}{24}}$$
x3 = 5/6 + 91/(36*(337/108 + sqrt(3695)*i/24)^(1/3)) + (337/108 + sqrt(3695)*i/24)^(1/3)
Respuesta numérica
[src]
x1 = -0.0951840702626032
x2 = -1.33617426178039
x3 = 3.93135833204299
x3 = 3.93135833204299