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- La ecuación:
-
Ecuación 2x^2-x-1=x^2-5x-(-1-x^2)
-
Ecuación x^2-5x=0
-
Ecuación x^2+4=5x
- Ecuación x^4-35*x^2-36=0
- Expresar {x} en función de y en la ecuación:
- -6*x-20*y=8
- -17*x-15*y=-17
- -9*x+11*y=9
- 4*x+8*y=7
- Límite de la función:
- 1/5
- Suma de la serie:
-
1/5
- Integral de d{x}:
- 1/5
-
Expresiones idénticas
- ((x/x− tres)-(dos /x+ tres)):((cinco x^ dos +5x+ treinta)/(x^ dos − nueve))= uno /5
- ((x dividir por x−3) menos (2 dividir por x más 3)):((5x al cuadrado más 5x más 30) dividir por (x al cuadrado −9)) es igual a 1 dividir por 5
- ((x dividir por x− tres) menos (dos dividir por x más tres)):((cinco x en el grado dos más 5x más treinta) dividir por (x en el grado dos − nueve)) es igual a uno dividir por 5
- ((x/x−3)-(2/x+3)):((5x2+5x+30)/(x2−9))=1/5
- x/x−3-2/x+3:5x2+5x+30/x2−9=1/5
- ((x/x−3)-(2/x+3)):((5x²+5x+30)/(x²−9))=1/5
- ((x/x−3)-(2/x+3)):((5x en el grado 2+5x+30)/(x en el grado 2−9))=1/5
- x/x−3-2/x+3:5x^2+5x+30/x^2−9=1/5
- ((x dividir por x−3)-(2 dividir por x+3)):((5x^2+5x+30) dividir por (x^2−9))=1 dividir por 5
-
Expresiones semejantes
- ((x/x−3)-(2/x-3)):((5x^2+5x+30)/(x^2−9))=1/5
- (x+3)/7=(2x-1)/5
- ((x/x−3)-(2/x+3)):((5x^2-5x+30)/(x^2−9))=1/5
- ((x/x−3)+(2/x+3)):((5x^2+5x+30)/(x^2−9))=1/5
- (2*x+1)/5=1/4
- ((x/x−3)-(2/x+3)):((5x^2+5x-30)/(x^2−9))=1/5
((x/x−3)-(2/x+3)):((5x^2+5x+30)/(x^2−9))=1/5 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
x 2 - - 3 + - - - 3 x x ----------------- = 1/5 / 2 \ |5*x + 5*x + 30| |---------------| | 2 | \ x - 9 /
$$\frac{\left(-3 - \frac{2}{x}\right) + \left(-3 + \frac{x}{x}\right)}{\frac{1}{x^{2} - 9} \left(\left(5 x^{2} + 5 x\right) + 30\right)} = \frac{1}{5}$$
Suma y producto de raíces
[src]
suma
/ 1 \ / / 1 \ \ / 1 \ / / 1 \ \
79*re|---------------------------------------| |79*im|---------------------------------------| / / ______\\ / / ______\\| / / ______\\ / / ______\\ 79*re|---------------------------------------| |79*im|---------------------------------------| / / ______\\ / / ______\\| / / ______\\ / / ______\\
| __________________| | | __________________| | |9*\/ 5563 || | |9*\/ 5563 ||| | |9*\/ 5563 || | |9*\/ 5563 || | __________________| | | __________________| | |9*\/ 5563 || | |9*\/ 5563 ||| | |9*\/ 5563 || | |9*\/ 5563 ||
|/ ___\ / ______ | | |/ ___\ / ______ | |atan|----------|| |atan|----------||| |atan|----------|| |atan|----------|| |/ ___\ / ______ | | |/ ___\ / ______ | |atan|----------|| |atan|----------||| |atan|----------|| |atan|----------||
|| 1 I*\/ 3 | / 103 I*\/ 5563 | | || 1 I*\/ 3 | / 103 I*\/ 5563 | ____ | \ 206 /| _____ | \ 206 /|| ____ | \ 206 /| _____ | \ 206 /| || 1 I*\/ 3 | / 103 I*\/ 5563 | | || 1 I*\/ 3 | / 103 I*\/ 5563 | ____ | \ 206 /| _____ | \ 206 /|| ____ | \ 206 /| _____ | \ 206 /| __________________
||- - - -------|*3 / --- + ---------- | | ||- - - -------|*3 / --- + ---------- | \/ 79 *sin|----------------| \/ 237 *cos|----------------|| \/ 79 *cos|----------------| \/ 237 *sin|----------------| ||- - + -------|*3 / --- + ---------- | | ||- - + -------|*3 / --- + ---------- | \/ 79 *sin|----------------| \/ 237 *cos|----------------|| \/ 79 *cos|----------------| \/ 237 *sin|----------------| / ______
1 \\ 2 2 / \/ 108 24 / | \\ 2 2 / \/ 108 24 / \ 3 / \ 3 /| \ 3 / \ 3 / 1 \\ 2 2 / \/ 108 24 / | \\ 2 2 / \/ 108 24 / \ 3 / \ 3 /| \ 3 / \ 3 / 1 / 103 I*\/ 5563 79
- - + ---------------------------------------------- + I*|---------------------------------------------- - ---------------------------- - -----------------------------| - ---------------------------- + ----------------------------- + - - + ---------------------------------------------- + I*|---------------------------------------------- - ---------------------------- + -----------------------------| - ---------------------------- - ----------------------------- + - - + 3 / --- + ---------- + --------------------------
6 36 \ 36 12 12 / 12 12 6 36 \ 36 12 12 / 12 12 6 \/ 108 24 __________________
/ ______
/ 103 I*\/ 5563
36*3 / --- + ----------
\/ 108 24
$$\left(- \frac{1}{6} + \frac{79}{36 \sqrt[3]{\frac{103}{108} + \frac{\sqrt{5563} i}{24}}} + \sqrt[3]{\frac{103}{108} + \frac{\sqrt{5563} i}{24}}\right) + \left(\left(- \frac{\sqrt{79} \cos{\left(\frac{\operatorname{atan}{\left(\frac{9 \sqrt{5563}}{206} \right)}}{3} \right)}}{12} - \frac{1}{6} + \frac{79 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{103}{108} + \frac{\sqrt{5563} i}{24}}}\right)}}{36} + \frac{\sqrt{237} \sin{\left(\frac{\operatorname{atan}{\left(\frac{9 \sqrt{5563}}{206} \right)}}{3} \right)}}{12} + i \left(- \frac{\sqrt{237} \cos{\left(\frac{\operatorname{atan}{\left(\frac{9 \sqrt{5563}}{206} \right)}}{3} \right)}}{12} - \frac{\sqrt{79} \sin{\left(\frac{\operatorname{atan}{\left(\frac{9 \sqrt{5563}}{206} \right)}}{3} \right)}}{12} + \frac{79 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{103}{108} + \frac{\sqrt{5563} i}{24}}}\right)}}{36}\right)\right) + \left(\frac{79 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{103}{108} + \frac{\sqrt{5563} i}{24}}}\right)}}{36} - \frac{\sqrt{79} \cos{\left(\frac{\operatorname{atan}{\left(\frac{9 \sqrt{5563}}{206} \right)}}{3} \right)}}{12} - \frac{\sqrt{237} \sin{\left(\frac{\operatorname{atan}{\left(\frac{9 \sqrt{5563}}{206} \right)}}{3} \right)}}{12} - \frac{1}{6} + i \left(\frac{79 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{103}{108} + \frac{\sqrt{5563} i}{24}}}\right)}}{36} - \frac{\sqrt{79} \sin{\left(\frac{\operatorname{atan}{\left(\frac{9 \sqrt{5563}}{206} \right)}}{3} \right)}}{12} + \frac{\sqrt{237} \cos{\left(\frac{\operatorname{atan}{\left(\frac{9 \sqrt{5563}}{206} \right)}}{3} \right)}}{12}\right)\right)\right)$$
=
/ 1 \ / 1 \ / / 1 \ \ / / 1 \ \
79*re|---------------------------------------| 79*re|---------------------------------------| |79*im|---------------------------------------| / / ______\\ / / ______\\| |79*im|---------------------------------------| / / ______\\ / / ______\\| / / ______\\
| __________________| | __________________| | | __________________| | |9*\/ 5563 || | |9*\/ 5563 ||| | | __________________| | |9*\/ 5563 || | |9*\/ 5563 ||| | |9*\/ 5563 ||
|/ ___\ / ______ | |/ ___\ / ______ | | |/ ___\ / ______ | |atan|----------|| |atan|----------||| | |/ ___\ / ______ | |atan|----------|| |atan|----------||| |atan|----------||
__________________ || 1 I*\/ 3 | / 103 I*\/ 5563 | || 1 I*\/ 3 | / 103 I*\/ 5563 | | || 1 I*\/ 3 | / 103 I*\/ 5563 | ____ | \ 206 /| _____ | \ 206 /|| | || 1 I*\/ 3 | / 103 I*\/ 5563 | ____ | \ 206 /| _____ | \ 206 /|| ____ | \ 206 /|
/ ______ ||- - + -------|*3 / --- + ---------- | ||- - - -------|*3 / --- + ---------- | | ||- - + -------|*3 / --- + ---------- | \/ 79 *sin|----------------| \/ 237 *cos|----------------|| | ||- - - -------|*3 / --- + ---------- | \/ 79 *sin|----------------| \/ 237 *cos|----------------|| \/ 79 *cos|----------------|
1 / 103 I*\/ 5563 79 \\ 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
/ ______
/ 103 I*\/ 5563
36*3 / --- + ----------
\/ 108 24
$$- \frac{\sqrt{79} \cos{\left(\frac{\operatorname{atan}{\left(\frac{9 \sqrt{5563}}{206} \right)}}{3} \right)}}{6} + \frac{79 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{103}{108} + \frac{\sqrt{5563} i}{24}}}\right)}}{36} - \frac{1}{2} + \frac{79 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{103}{108} + \frac{\sqrt{5563} i}{24}}}\right)}}{36} + \frac{79}{36 \sqrt[3]{\frac{103}{108} + \frac{\sqrt{5563} i}{24}}} + i \left(- \frac{\sqrt{237} \cos{\left(\frac{\operatorname{atan}{\left(\frac{9 \sqrt{5563}}{206} \right)}}{3} \right)}}{12} - \frac{\sqrt{79} \sin{\left(\frac{\operatorname{atan}{\left(\frac{9 \sqrt{5563}}{206} \right)}}{3} \right)}}{12} + \frac{79 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{103}{108} + \frac{\sqrt{5563} i}{24}}}\right)}}{36}\right) + i \left(\frac{79 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{103}{108} + \frac{\sqrt{5563} i}{24}}}\right)}}{36} - \frac{\sqrt{79} \sin{\left(\frac{\operatorname{atan}{\left(\frac{9 \sqrt{5563}}{206} \right)}}{3} \right)}}{12} + \frac{\sqrt{237} \cos{\left(\frac{\operatorname{atan}{\left(\frac{9 \sqrt{5563}}{206} \right)}}{3} \right)}}{12}\right) + \sqrt[3]{\frac{103}{108} + \frac{\sqrt{5563} i}{24}}$$
producto
/ / 1 \ / / 1 \ \ \ / / 1 \ / / 1 \ \ \
| 79*re|---------------------------------------| |79*im|---------------------------------------| / / ______\\ / / ______\\| / / ______\\ / / ______\\| | 79*re|---------------------------------------| |79*im|---------------------------------------| / / ______\\ / / ______\\| / / ______\\ / / ______\\|
| | __________________| | | __________________| | |9*\/ 5563 || | |9*\/ 5563 ||| | |9*\/ 5563 || | |9*\/ 5563 ||| | | __________________| | | __________________| | |9*\/ 5563 || | |9*\/ 5563 ||| | |9*\/ 5563 || | |9*\/ 5563 |||
| |/ ___\ / ______ | | |/ ___\ / ______ | |atan|----------|| |atan|----------||| |atan|----------|| |atan|----------||| | |/ ___\ / ______ | | |/ ___\ / ______ | |atan|----------|| |atan|----------||| |atan|----------|| |atan|----------|||
| || 1 I*\/ 3 | / 103 I*\/ 5563 | | || 1 I*\/ 3 | / 103 I*\/ 5563 | ____ | \ 206 /| _____ | \ 206 /|| ____ | \ 206 /| _____ | \ 206 /|| | || 1 I*\/ 3 | / 103 I*\/ 5563 | | || 1 I*\/ 3 | / 103 I*\/ 5563 | ____ | \ 206 /| _____ | \ 206 /|| ____ | \ 206 /| _____ | \ 206 /|| / __________________ \
| ||- - - -------|*3 / --- + ---------- | | ||- - - -------|*3 / --- + ---------- | \/ 79 *sin|----------------| \/ 237 *cos|----------------|| \/ 79 *cos|----------------| \/ 237 *sin|----------------|| | ||- - + -------|*3 / --- + ---------- | | ||- - + -------|*3 / --- + ---------- | \/ 79 *sin|----------------| \/ 237 *cos|----------------|| \/ 79 *cos|----------------| \/ 237 *sin|----------------|| | / ______ |
| 1 \\ 2 2 / \/ 108 24 / | \\ 2 2 / \/ 108 24 / \ 3 / \ 3 /| \ 3 / \ 3 /| | 1 \\ 2 2 / \/ 108 24 / | \\ 2 2 / \/ 108 24 / \ 3 / \ 3 /| \ 3 / \ 3 /| | 1 / 103 I*\/ 5563 79 |
|- - + ---------------------------------------------- + I*|---------------------------------------------- - ---------------------------- - -----------------------------| - ---------------------------- + -----------------------------|*|- - + ---------------------------------------------- + I*|---------------------------------------------- - ---------------------------- + -----------------------------| - ---------------------------- - -----------------------------|*|- - + 3 / --- + ---------- + --------------------------|
\ 6 36 \ 36 12 12 / 12 12 / \ 6 36 \ 36 12 12 / 12 12 / | 6 \/ 108 24 __________________|
| / ______ |
| / 103 I*\/ 5563 |
| 36*3 / --- + ---------- |
\ \/ 108 24 /
$$\left(- \frac{\sqrt{79} \cos{\left(\frac{\operatorname{atan}{\left(\frac{9 \sqrt{5563}}{206} \right)}}{3} \right)}}{12} - \frac{1}{6} + \frac{79 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{103}{108} + \frac{\sqrt{5563} i}{24}}}\right)}}{36} + \frac{\sqrt{237} \sin{\left(\frac{\operatorname{atan}{\left(\frac{9 \sqrt{5563}}{206} \right)}}{3} \right)}}{12} + i \left(- \frac{\sqrt{237} \cos{\left(\frac{\operatorname{atan}{\left(\frac{9 \sqrt{5563}}{206} \right)}}{3} \right)}}{12} - \frac{\sqrt{79} \sin{\left(\frac{\operatorname{atan}{\left(\frac{9 \sqrt{5563}}{206} \right)}}{3} \right)}}{12} + \frac{79 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{103}{108} + \frac{\sqrt{5563} i}{24}}}\right)}}{36}\right)\right) \left(\frac{79 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{103}{108} + \frac{\sqrt{5563} i}{24}}}\right)}}{36} - \frac{\sqrt{79} \cos{\left(\frac{\operatorname{atan}{\left(\frac{9 \sqrt{5563}}{206} \right)}}{3} \right)}}{12} - \frac{\sqrt{237} \sin{\left(\frac{\operatorname{atan}{\left(\frac{9 \sqrt{5563}}{206} \right)}}{3} \right)}}{12} - \frac{1}{6} + i \left(\frac{79 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{103}{108} + \frac{\sqrt{5563} i}{24}}}\right)}}{36} - \frac{\sqrt{79} \sin{\left(\frac{\operatorname{atan}{\left(\frac{9 \sqrt{5563}}{206} \right)}}{3} \right)}}{12} + \frac{\sqrt{237} \cos{\left(\frac{\operatorname{atan}{\left(\frac{9 \sqrt{5563}}{206} \right)}}{3} \right)}}{12}\right)\right) \left(- \frac{1}{6} + \frac{79}{36 \sqrt[3]{\frac{103}{108} + \frac{\sqrt{5563} i}{24}}} + \sqrt[3]{\frac{103}{108} + \frac{\sqrt{5563} i}{24}}\right)$$
=
/ / / ______\\ / / ______\\\
| | |9*\/ 5563 || | |9*\/ 5563 |||
/ ____________________ / ____________________\\ | |2*atan|----------|| |atan|----------|||
| 3 / ______ | 3 / ______ || | | \ 206 /| ____ | \ 206 /||
\79 + \/ 206 + 9*I*\/ 5563 *\-1 + \/ 206 + 9*I*\/ 5563 //*|-39 + 79*cos|------------------| + \/ 79 *cos|----------------||
\ \ 3 / \ 3 //
-------------------------------------------------------------------------------------------------------------------------------
____________________
3 / ______
108*\/ 206 + 9*I*\/ 5563
$$\frac{\left(79 + \left(-1 + \sqrt[3]{206 + 9 \sqrt{5563} i}\right) \sqrt[3]{206 + 9 \sqrt{5563} i}\right) \left(-39 + \sqrt{79} \cos{\left(\frac{\operatorname{atan}{\left(\frac{9 \sqrt{5563}}{206} \right)}}{3} \right)} + 79 \cos{\left(\frac{2 \operatorname{atan}{\left(\frac{9 \sqrt{5563}}{206} \right)}}{3} \right)}\right)}{108 \sqrt[3]{206 + 9 \sqrt{5563} i}}$$
(79 + (206 + 9*i*sqrt(5563))^(1/3)*(-1 + (206 + 9*i*sqrt(5563))^(1/3)))*(-39 + 79*cos(2*atan(9*sqrt(5563)/206)/3) + sqrt(79)*cos(atan(9*sqrt(5563)/206)/3))/(108*(206 + 9*i*sqrt(5563))^(1/3))
Respuesta rápida
[src]
/ 1 \ / / 1 \ \
79*re|---------------------------------------| |79*im|---------------------------------------| / / ______\\ / / ______\\| / / ______\\ / / ______\\
| __________________| | | __________________| | |9*\/ 5563 || | |9*\/ 5563 ||| | |9*\/ 5563 || | |9*\/ 5563 ||
|/ ___\ / ______ | | |/ ___\ / ______ | |atan|----------|| |atan|----------||| |atan|----------|| |atan|----------||
|| 1 I*\/ 3 | / 103 I*\/ 5563 | | || 1 I*\/ 3 | / 103 I*\/ 5563 | ____ | \ 206 /| _____ | \ 206 /|| ____ | \ 206 /| _____ | \ 206 /|
||- - - -------|*3 / --- + ---------- | | ||- - - -------|*3 / --- + ---------- | \/ 79 *sin|----------------| \/ 237 *cos|----------------|| \/ 79 *cos|----------------| \/ 237 *sin|----------------|
1 \\ 2 2 / \/ 108 24 / | \\ 2 2 / \/ 108 24 / \ 3 / \ 3 /| \ 3 / \ 3 /
x1 = - - + ---------------------------------------------- + I*|---------------------------------------------- - ---------------------------- - -----------------------------| - ---------------------------- + -----------------------------
6 36 \ 36 12 12 / 12 12
$$x_{1} = - \frac{\sqrt{79} \cos{\left(\frac{\operatorname{atan}{\left(\frac{9 \sqrt{5563}}{206} \right)}}{3} \right)}}{12} - \frac{1}{6} + \frac{79 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{103}{108} + \frac{\sqrt{5563} i}{24}}}\right)}}{36} + \frac{\sqrt{237} \sin{\left(\frac{\operatorname{atan}{\left(\frac{9 \sqrt{5563}}{206} \right)}}{3} \right)}}{12} + i \left(- \frac{\sqrt{237} \cos{\left(\frac{\operatorname{atan}{\left(\frac{9 \sqrt{5563}}{206} \right)}}{3} \right)}}{12} - \frac{\sqrt{79} \sin{\left(\frac{\operatorname{atan}{\left(\frac{9 \sqrt{5563}}{206} \right)}}{3} \right)}}{12} + \frac{79 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{103}{108} + \frac{\sqrt{5563} i}{24}}}\right)}}{36}\right)$$
/ 1 \ / / 1 \ \
79*re|---------------------------------------| |79*im|---------------------------------------| / / ______\\ / / ______\\| / / ______\\ / / ______\\
| __________________| | | __________________| | |9*\/ 5563 || | |9*\/ 5563 ||| | |9*\/ 5563 || | |9*\/ 5563 ||
|/ ___\ / ______ | | |/ ___\ / ______ | |atan|----------|| |atan|----------||| |atan|----------|| |atan|----------||
|| 1 I*\/ 3 | / 103 I*\/ 5563 | | || 1 I*\/ 3 | / 103 I*\/ 5563 | ____ | \ 206 /| _____ | \ 206 /|| ____ | \ 206 /| _____ | \ 206 /|
||- - + -------|*3 / --- + ---------- | | ||- - + -------|*3 / --- + ---------- | \/ 79 *sin|----------------| \/ 237 *cos|----------------|| \/ 79 *cos|----------------| \/ 237 *sin|----------------|
1 \\ 2 2 / \/ 108 24 / | \\ 2 2 / \/ 108 24 / \ 3 / \ 3 /| \ 3 / \ 3 /
x2 = - - + ---------------------------------------------- + I*|---------------------------------------------- - ---------------------------- + -----------------------------| - ---------------------------- - -----------------------------
6 36 \ 36 12 12 / 12 12
$$x_{2} = \frac{79 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{103}{108} + \frac{\sqrt{5563} i}{24}}}\right)}}{36} - \frac{\sqrt{79} \cos{\left(\frac{\operatorname{atan}{\left(\frac{9 \sqrt{5563}}{206} \right)}}{3} \right)}}{12} - \frac{\sqrt{237} \sin{\left(\frac{\operatorname{atan}{\left(\frac{9 \sqrt{5563}}{206} \right)}}{3} \right)}}{12} - \frac{1}{6} + i \left(\frac{79 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{103}{108} + \frac{\sqrt{5563} i}{24}}}\right)}}{36} - \frac{\sqrt{79} \sin{\left(\frac{\operatorname{atan}{\left(\frac{9 \sqrt{5563}}{206} \right)}}{3} \right)}}{12} + \frac{\sqrt{237} \cos{\left(\frac{\operatorname{atan}{\left(\frac{9 \sqrt{5563}}{206} \right)}}{3} \right)}}{12}\right)$$
__________________
/ ______
1 / 103 I*\/ 5563 79
x3 = - - + 3 / --- + ---------- + --------------------------
6 \/ 108 24 __________________
/ ______
/ 103 I*\/ 5563
36*3 / --- + ----------
\/ 108 24
$$x_{3} = - \frac{1}{6} + \frac{79}{36 \sqrt[3]{\frac{103}{108} + \frac{\sqrt{5563} i}{24}}} + \sqrt[3]{\frac{103}{108} + \frac{\sqrt{5563} i}{24}}$$
x3 = -1/6 + 79/(36*(103/108 + sqrt(5563)*i/24)^(1/3)) + (103/108 + sqrt(5563)*i/24)^(1/3)
Respuesta numérica
[src]
x1 = -0.460242846378259 - 0.e-22*i
x2 = -2.57305172083436 + 0.e-22*i
x3 = 2.53329456721262 - 0.e-22*i
x3 = 2.53329456721262 - 0.e-22*i