Sr Examen
Otras calculadoras
-
¿Cómo usar?
- La ecuación:
-
Ecuación 5x+15=x-1
-
Ecuación 3x^2=0
- Ecuación x^2-49=0
-
Ecuación 1-x/2=x/3
- Expresar {x} en función de y en la ecuación:
- 4*x-1*y=-3
- -11*x+9*y=-20
- 9*x+17*y=13
- -19*x+14*y=20
-
Expresiones idénticas
- sqrt(x^ tres *(x- doce)+ cincuenta y cuatro *x*(x- dos)+ ochenta y uno)-sqrt(-x*(|x|))= cero
- raíz cuadrada de (x al cubo multiplicar por (x menos 12) más 54 multiplicar por x multiplicar por (x menos 2) más 81) menos raíz cuadrada de ( menos x multiplicar por ( módulo de x|)) es igual a 0
- raíz cuadrada de (x en el grado tres multiplicar por (x menos doce) más cincuenta y cuatro multiplicar por x multiplicar por (x menos dos) más ochenta y uno) menos raíz cuadrada de ( menos x multiplicar por ( módulo de x|)) es igual a cero
- √(x^3*(x-12)+54*x*(x-2)+81)-√(-x*(|x|))=0
- sqrt(x3*(x-12)+54*x*(x-2)+81)-sqrt(-x*(|x|))=0
- sqrtx3*x-12+54*x*x-2+81-sqrt-x*|x|=0
- sqrt(x³*(x-12)+54*x*(x-2)+81)-sqrt(-x*(|x|))=0
- sqrt(x en el grado 3*(x-12)+54*x*(x-2)+81)-sqrt(-x*(|x|))=0
- sqrt(x^3(x-12)+54x(x-2)+81)-sqrt(-x(|x|))=0
- sqrt(x3(x-12)+54x(x-2)+81)-sqrt(-x(|x|))=0
- sqrtx3x-12+54xx-2+81-sqrt-x|x|=0
- sqrtx^3x-12+54xx-2+81-sqrt-x|x|=0
- sqrt(x^3*(x-12)+54*x*(x-2)+81)-sqrt(-x*(|x|))=O
-
Expresiones semejantes
- sqrt(x^3*(x-12)+54*x*(x-2)+81)-sqrt(x*(|x|))=0
- sqrt(x^3*(x-12)-54*x*(x-2)+81)-sqrt(-x*(|x|))=0
- sqrt(x^3*(x-12)+54*x*(x-2)+81)+sqrt(-x*(|x|))=0
- sqrt(x^3*(x-12)+54*x*(x-2)-81)-sqrt(-x*(|x|))=0
- sqrt(x^3*(x-12)+54*x*(x+2)+81)-sqrt(-x*(|x|))=0
- sqrt(x^3*(x+12)+54*x*(x-2)+81)-sqrt(-x*(|x|))=0
-
Expresiones con funciones
- Raíz cuadrada sqrt
- sqrt(x+2)-sqrt(x-6)=2
- sqrt(56-x)=-x
- sqrt(x-2)+sqrt(4-x)=sqrt(6-x)
- sqrt(4+2x−x^2)=x−2.
- sqrt(x+4)=sqrt3x
- Raíz cuadrada sqrt
- sqrt(x+2)-sqrt(x-6)=2
- sqrt(56-x)=-x
- sqrt(x-2)+sqrt(4-x)=sqrt(6-x)
- sqrt(4+2x−x^2)=x−2.
- sqrt(x+4)=sqrt3x
- Módulo |
- |x|=-7
- |x|=-3
- |x-2|-|2x+2|=1
- |x-1|=2
- |x|=8
sqrt(x^3*(x-12)+54*x*(x-2)+81)-sqrt(-x*(|x|))=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
_________________________________ / 3 ________ \/ x *(x - 12) + 54*x*(x - 2) + 81 - \/ -x*|x| = 0
$$- \sqrt{- x \left|{x}\right|} + \sqrt{\left(x^{3} \left(x - 12\right) + 54 x \left(x - 2\right)\right) + 81} = 0$$
Respuesta rápida
[src]
// ________________ ________________ \ // ________________ ________________ \
|| / 2 / 2 | || / 2 / 2 |
|| I \/ -36 + (6 - I) I \/ -36 + (6 - I) | || I \/ -36 + (6 - I) I \/ -36 + (6 - I) |
x1 = I*im|<3 - - - ------------------- for -3 + - + ------------------- <= 0| + re|<3 - - - ------------------- for -3 + - + ------------------- <= 0|
|| 2 2 2 2 | || 2 2 2 2 |
|| | || |
\\ nan otherwise / \\ nan otherwise /
$$x_{1} = \operatorname{re}{\left(\begin{cases} 3 - \frac{i}{2} - \frac{\sqrt{-36 + \left(6 - i\right)^{2}}}{2} & \text{for}\: -3 + \frac{\sqrt{-36 + \left(6 - i\right)^{2}}}{2} + \frac{i}{2} \leq 0 \\\text{NaN} & \text{otherwise} \end{cases}\right)} + i \operatorname{im}{\left(\begin{cases} 3 - \frac{i}{2} - \frac{\sqrt{-36 + \left(6 - i\right)^{2}}}{2} & \text{for}\: -3 + \frac{\sqrt{-36 + \left(6 - i\right)^{2}}}{2} + \frac{i}{2} \leq 0 \\\text{NaN} & \text{otherwise} \end{cases}\right)}$$
// ___________ ___________ \ // ___________ ___________ \
|| I \/ -1 + 12*I I \/ -1 + 12*I | || I \/ -1 + 12*I I \/ -1 + 12*I |
||3 + - + ------------- for 3 + - + ------------- >= 0| ||3 + - + ------------- for 3 + - + ------------- >= 0|
x2 = I*im|< 2 2 2 2 | + re|< 2 2 2 2 |
|| | || |
|| nan otherwise | || nan otherwise |
\\ / \\ /
$$x_{2} = \operatorname{re}{\left(\begin{cases} 3 + \frac{i}{2} + \frac{\sqrt{-1 + 12 i}}{2} & \text{for}\: 3 + \frac{i}{2} + \frac{\sqrt{-1 + 12 i}}{2} \geq 0 \\\text{NaN} & \text{otherwise} \end{cases}\right)} + i \operatorname{im}{\left(\begin{cases} 3 + \frac{i}{2} + \frac{\sqrt{-1 + 12 i}}{2} & \text{for}\: 3 + \frac{i}{2} + \frac{\sqrt{-1 + 12 i}}{2} \geq 0 \\\text{NaN} & \text{otherwise} \end{cases}\right)}$$
// ________________ ________________ \ // ________________ ________________ \
|| / 2 / 2 | || / 2 / 2 |
|| \/ -36 + (6 - I) I \/ -36 + (6 - I) I | || \/ -36 + (6 - I) I \/ -36 + (6 - I) I |
x3 = I*im|<3 + ------------------- - - for 3 + ------------------- - - >= 0| + re|<3 + ------------------- - - for 3 + ------------------- - - >= 0|
|| 2 2 2 2 | || 2 2 2 2 |
|| | || |
\\ nan otherwise / \\ nan otherwise /
$$x_{3} = \operatorname{re}{\left(\begin{cases} 3 + \frac{\sqrt{-36 + \left(6 - i\right)^{2}}}{2} - \frac{i}{2} & \text{for}\: 3 + \frac{\sqrt{-36 + \left(6 - i\right)^{2}}}{2} - \frac{i}{2} \geq 0 \\\text{NaN} & \text{otherwise} \end{cases}\right)} + i \operatorname{im}{\left(\begin{cases} 3 + \frac{\sqrt{-36 + \left(6 - i\right)^{2}}}{2} - \frac{i}{2} & \text{for}\: 3 + \frac{\sqrt{-36 + \left(6 - i\right)^{2}}}{2} - \frac{i}{2} \geq 0 \\\text{NaN} & \text{otherwise} \end{cases}\right)}$$
// ___________ ___________ \ // ___________ ___________ \
|| I \/ -1 + 12*I I \/ -1 + 12*I | || I \/ -1 + 12*I I \/ -1 + 12*I |
||3 + - - ------------- for 3 + - - ------------- >= 0| ||3 + - - ------------- for 3 + - - ------------- >= 0|
x4 = I*im|< 2 2 2 2 | + re|< 2 2 2 2 |
|| | || |
|| nan otherwise | || nan otherwise |
\\ / \\ /
$$x_{4} = \operatorname{re}{\left(\begin{cases} 3 - \frac{\sqrt{-1 + 12 i}}{2} + \frac{i}{2} & \text{for}\: 3 - \frac{\sqrt{-1 + 12 i}}{2} + \frac{i}{2} \geq 0 \\\text{NaN} & \text{otherwise} \end{cases}\right)} + i \operatorname{im}{\left(\begin{cases} 3 - \frac{\sqrt{-1 + 12 i}}{2} + \frac{i}{2} & \text{for}\: 3 - \frac{\sqrt{-1 + 12 i}}{2} + \frac{i}{2} \geq 0 \\\text{NaN} & \text{otherwise} \end{cases}\right)}$$
x4 = re(Piecewise((3 - sqrt(-1 + 12*i/2 + i/2, 3 - sqrt(-1 + 12*i)/2 + i/2 >= 0), (nan, True))) + i*im(Piecewise((3 - sqrt(-1 + 12*i)/2 + i/2, 3 - sqrt(-1 + 12*i)/2 + i/2 >= 0), (nan, True))))
Suma y producto de raíces
[src]
suma
// ________________ ________________ \ // ________________ ________________ \ // ___________ ___________ \ // ___________ ___________ \ // ________________ ________________ \ // ________________ ________________ \ // ___________ ___________ \ // ___________ ___________ \
|| / 2 / 2 | || / 2 / 2 | || I \/ -1 + 12*I I \/ -1 + 12*I | || I \/ -1 + 12*I I \/ -1 + 12*I | || / 2 / 2 | || / 2 / 2 | || I \/ -1 + 12*I I \/ -1 + 12*I | || I \/ -1 + 12*I I \/ -1 + 12*I |
|| I \/ -36 + (6 - I) I \/ -36 + (6 - I) | || I \/ -36 + (6 - I) I \/ -36 + (6 - I) | ||3 + - + ------------- for 3 + - + ------------- >= 0| ||3 + - + ------------- for 3 + - + ------------- >= 0| || \/ -36 + (6 - I) I \/ -36 + (6 - I) I | || \/ -36 + (6 - I) I \/ -36 + (6 - I) I | ||3 + - - ------------- for 3 + - - ------------- >= 0| ||3 + - - ------------- for 3 + - - ------------- >= 0|
I*im|<3 - - - ------------------- for -3 + - + ------------------- <= 0| + re|<3 - - - ------------------- for -3 + - + ------------------- <= 0| + I*im|< 2 2 2 2 | + re|< 2 2 2 2 | + I*im|<3 + ------------------- - - for 3 + ------------------- - - >= 0| + re|<3 + ------------------- - - for 3 + ------------------- - - >= 0| + I*im|< 2 2 2 2 | + re|< 2 2 2 2 |
|| 2 2 2 2 | || 2 2 2 2 | || | || | || 2 2 2 2 | || 2 2 2 2 | || | || |
|| | || | || nan otherwise | || nan otherwise | || | || | || nan otherwise | || nan otherwise |
\\ nan otherwise / \\ nan otherwise / \\ / \\ / \\ nan otherwise / \\ nan otherwise / \\ / \\ /
$$\left(\left(\left(\operatorname{re}{\left(\begin{cases} 3 - \frac{i}{2} - \frac{\sqrt{-36 + \left(6 - i\right)^{2}}}{2} & \text{for}\: -3 + \frac{\sqrt{-36 + \left(6 - i\right)^{2}}}{2} + \frac{i}{2} \leq 0 \\\text{NaN} & \text{otherwise} \end{cases}\right)} + i \operatorname{im}{\left(\begin{cases} 3 - \frac{i}{2} - \frac{\sqrt{-36 + \left(6 - i\right)^{2}}}{2} & \text{for}\: -3 + \frac{\sqrt{-36 + \left(6 - i\right)^{2}}}{2} + \frac{i}{2} \leq 0 \\\text{NaN} & \text{otherwise} \end{cases}\right)}\right) + \left(\operatorname{re}{\left(\begin{cases} 3 + \frac{i}{2} + \frac{\sqrt{-1 + 12 i}}{2} & \text{for}\: 3 + \frac{i}{2} + \frac{\sqrt{-1 + 12 i}}{2} \geq 0 \\\text{NaN} & \text{otherwise} \end{cases}\right)} + i \operatorname{im}{\left(\begin{cases} 3 + \frac{i}{2} + \frac{\sqrt{-1 + 12 i}}{2} & \text{for}\: 3 + \frac{i}{2} + \frac{\sqrt{-1 + 12 i}}{2} \geq 0 \\\text{NaN} & \text{otherwise} \end{cases}\right)}\right)\right) + \left(\operatorname{re}{\left(\begin{cases} 3 + \frac{\sqrt{-36 + \left(6 - i\right)^{2}}}{2} - \frac{i}{2} & \text{for}\: 3 + \frac{\sqrt{-36 + \left(6 - i\right)^{2}}}{2} - \frac{i}{2} \geq 0 \\\text{NaN} & \text{otherwise} \end{cases}\right)} + i \operatorname{im}{\left(\begin{cases} 3 + \frac{\sqrt{-36 + \left(6 - i\right)^{2}}}{2} - \frac{i}{2} & \text{for}\: 3 + \frac{\sqrt{-36 + \left(6 - i\right)^{2}}}{2} - \frac{i}{2} \geq 0 \\\text{NaN} & \text{otherwise} \end{cases}\right)}\right)\right) + \left(\operatorname{re}{\left(\begin{cases} 3 - \frac{\sqrt{-1 + 12 i}}{2} + \frac{i}{2} & \text{for}\: 3 - \frac{\sqrt{-1 + 12 i}}{2} + \frac{i}{2} \geq 0 \\\text{NaN} & \text{otherwise} \end{cases}\right)} + i \operatorname{im}{\left(\begin{cases} 3 - \frac{\sqrt{-1 + 12 i}}{2} + \frac{i}{2} & \text{for}\: 3 - \frac{\sqrt{-1 + 12 i}}{2} + \frac{i}{2} \geq 0 \\\text{NaN} & \text{otherwise} \end{cases}\right)}\right)$$
=
// ___________ ___________ \ // ___________ ___________ \ // ________________ ________________ \ // ________________ ________________ \ // ___________ ___________ \ // ___________ ___________ \ // ________________ ________________ \ // ________________ ________________ \
|| I \/ -1 + 12*I I \/ -1 + 12*I | || I \/ -1 + 12*I I \/ -1 + 12*I | || / 2 / 2 | || / 2 / 2 | || I \/ -1 + 12*I I \/ -1 + 12*I | || I \/ -1 + 12*I I \/ -1 + 12*I | || / 2 / 2 | || / 2 / 2 |
||3 + - + ------------- for 3 + - + ------------- >= 0| ||3 + - - ------------- for 3 + - - ------------- >= 0| || \/ -36 + (6 - I) I \/ -36 + (6 - I) I | || I \/ -36 + (6 - I) I \/ -36 + (6 - I) | ||3 + - + ------------- for 3 + - + ------------- >= 0| ||3 + - - ------------- for 3 + - - ------------- >= 0| || \/ -36 + (6 - I) I \/ -36 + (6 - I) I | || I \/ -36 + (6 - I) I \/ -36 + (6 - I) |
I*im|< 2 2 2 2 | + I*im|< 2 2 2 2 | + I*im|<3 + ------------------- - - for 3 + ------------------- - - >= 0| + I*im|<3 - - - ------------------- for -3 + - + ------------------- <= 0| + re|< 2 2 2 2 | + re|< 2 2 2 2 | + re|<3 + ------------------- - - for 3 + ------------------- - - >= 0| + re|<3 - - - ------------------- for -3 + - + ------------------- <= 0|
|| | || | || 2 2 2 2 | || 2 2 2 2 | || | || | || 2 2 2 2 | || 2 2 2 2 |
|| nan otherwise | || nan otherwise | || | || | || nan otherwise | || nan otherwise | || | || |
\\ / \\ / \\ nan otherwise / \\ nan otherwise / \\ / \\ / \\ nan otherwise / \\ nan otherwise /
$$\operatorname{re}{\left(\begin{cases} 3 - \frac{i}{2} - \frac{\sqrt{-36 + \left(6 - i\right)^{2}}}{2} & \text{for}\: -3 + \frac{\sqrt{-36 + \left(6 - i\right)^{2}}}{2} + \frac{i}{2} \leq 0 \\\text{NaN} & \text{otherwise} \end{cases}\right)} + \operatorname{re}{\left(\begin{cases} 3 + \frac{i}{2} + \frac{\sqrt{-1 + 12 i}}{2} & \text{for}\: 3 + \frac{i}{2} + \frac{\sqrt{-1 + 12 i}}{2} \geq 0 \\\text{NaN} & \text{otherwise} \end{cases}\right)} + \operatorname{re}{\left(\begin{cases} 3 + \frac{\sqrt{-36 + \left(6 - i\right)^{2}}}{2} - \frac{i}{2} & \text{for}\: 3 + \frac{\sqrt{-36 + \left(6 - i\right)^{2}}}{2} - \frac{i}{2} \geq 0 \\\text{NaN} & \text{otherwise} \end{cases}\right)} + \operatorname{re}{\left(\begin{cases} 3 - \frac{\sqrt{-1 + 12 i}}{2} + \frac{i}{2} & \text{for}\: 3 - \frac{\sqrt{-1 + 12 i}}{2} + \frac{i}{2} \geq 0 \\\text{NaN} & \text{otherwise} \end{cases}\right)} + i \operatorname{im}{\left(\begin{cases} 3 - \frac{i}{2} - \frac{\sqrt{-36 + \left(6 - i\right)^{2}}}{2} & \text{for}\: -3 + \frac{\sqrt{-36 + \left(6 - i\right)^{2}}}{2} + \frac{i}{2} \leq 0 \\\text{NaN} & \text{otherwise} \end{cases}\right)} + i \operatorname{im}{\left(\begin{cases} 3 + \frac{i}{2} + \frac{\sqrt{-1 + 12 i}}{2} & \text{for}\: 3 + \frac{i}{2} + \frac{\sqrt{-1 + 12 i}}{2} \geq 0 \\\text{NaN} & \text{otherwise} \end{cases}\right)} + i \operatorname{im}{\left(\begin{cases} 3 + \frac{\sqrt{-36 + \left(6 - i\right)^{2}}}{2} - \frac{i}{2} & \text{for}\: 3 + \frac{\sqrt{-36 + \left(6 - i\right)^{2}}}{2} - \frac{i}{2} \geq 0 \\\text{NaN} & \text{otherwise} \end{cases}\right)} + i \operatorname{im}{\left(\begin{cases} 3 - \frac{\sqrt{-1 + 12 i}}{2} + \frac{i}{2} & \text{for}\: 3 - \frac{\sqrt{-1 + 12 i}}{2} + \frac{i}{2} \geq 0 \\\text{NaN} & \text{otherwise} \end{cases}\right)}$$
producto
/ // ________________ ________________ \ // ________________ ________________ \\ / // ___________ ___________ \ // ___________ ___________ \\ / // ________________ ________________ \ // ________________ ________________ \\ / // ___________ ___________ \ // ___________ ___________ \\ | || / 2 / 2 | || / 2 / 2 || | || I \/ -1 + 12*I I \/ -1 + 12*I | || I \/ -1 + 12*I I \/ -1 + 12*I || | || / 2 / 2 | || / 2 / 2 || | || I \/ -1 + 12*I I \/ -1 + 12*I | || I \/ -1 + 12*I I \/ -1 + 12*I || | || I \/ -36 + (6 - I) I \/ -36 + (6 - I) | || I \/ -36 + (6 - I) I \/ -36 + (6 - I) || | ||3 + - + ------------- for 3 + - + ------------- >= 0| ||3 + - + ------------- for 3 + - + ------------- >= 0|| | || \/ -36 + (6 - I) I \/ -36 + (6 - I) I | || \/ -36 + (6 - I) I \/ -36 + (6 - I) I || | ||3 + - - ------------- for 3 + - - ------------- >= 0| ||3 + - - ------------- for 3 + - - ------------- >= 0|| |I*im|<3 - - - ------------------- for -3 + - + ------------------- <= 0| + re|<3 - - - ------------------- for -3 + - + ------------------- <= 0||*|I*im|< 2 2 2 2 | + re|< 2 2 2 2 ||*|I*im|<3 + ------------------- - - for 3 + ------------------- - - >= 0| + re|<3 + ------------------- - - for 3 + ------------------- - - >= 0||*|I*im|< 2 2 2 2 | + re|< 2 2 2 2 || | || 2 2 2 2 | || 2 2 2 2 || | || | || || | || 2 2 2 2 | || 2 2 2 2 || | || | || || | || | || || | || nan otherwise | || nan otherwise || | || | || || | || nan otherwise | || nan otherwise || \ \\ nan otherwise / \\ nan otherwise // \ \\ / \\ // \ \\ nan otherwise / \\ nan otherwise // \ \\ / \\ //
$$\left(\operatorname{re}{\left(\begin{cases} 3 - \frac{i}{2} - \frac{\sqrt{-36 + \left(6 - i\right)^{2}}}{2} & \text{for}\: -3 + \frac{\sqrt{-36 + \left(6 - i\right)^{2}}}{2} + \frac{i}{2} \leq 0 \\\text{NaN} & \text{otherwise} \end{cases}\right)} + i \operatorname{im}{\left(\begin{cases} 3 - \frac{i}{2} - \frac{\sqrt{-36 + \left(6 - i\right)^{2}}}{2} & \text{for}\: -3 + \frac{\sqrt{-36 + \left(6 - i\right)^{2}}}{2} + \frac{i}{2} \leq 0 \\\text{NaN} & \text{otherwise} \end{cases}\right)}\right) \left(\operatorname{re}{\left(\begin{cases} 3 + \frac{i}{2} + \frac{\sqrt{-1 + 12 i}}{2} & \text{for}\: 3 + \frac{i}{2} + \frac{\sqrt{-1 + 12 i}}{2} \geq 0 \\\text{NaN} & \text{otherwise} \end{cases}\right)} + i \operatorname{im}{\left(\begin{cases} 3 + \frac{i}{2} + \frac{\sqrt{-1 + 12 i}}{2} & \text{for}\: 3 + \frac{i}{2} + \frac{\sqrt{-1 + 12 i}}{2} \geq 0 \\\text{NaN} & \text{otherwise} \end{cases}\right)}\right) \left(\operatorname{re}{\left(\begin{cases} 3 + \frac{\sqrt{-36 + \left(6 - i\right)^{2}}}{2} - \frac{i}{2} & \text{for}\: 3 + \frac{\sqrt{-36 + \left(6 - i\right)^{2}}}{2} - \frac{i}{2} \geq 0 \\\text{NaN} & \text{otherwise} \end{cases}\right)} + i \operatorname{im}{\left(\begin{cases} 3 + \frac{\sqrt{-36 + \left(6 - i\right)^{2}}}{2} - \frac{i}{2} & \text{for}\: 3 + \frac{\sqrt{-36 + \left(6 - i\right)^{2}}}{2} - \frac{i}{2} \geq 0 \\\text{NaN} & \text{otherwise} \end{cases}\right)}\right) \left(\operatorname{re}{\left(\begin{cases} 3 - \frac{\sqrt{-1 + 12 i}}{2} + \frac{i}{2} & \text{for}\: 3 - \frac{\sqrt{-1 + 12 i}}{2} + \frac{i}{2} \geq 0 \\\text{NaN} & \text{otherwise} \end{cases}\right)} + i \operatorname{im}{\left(\begin{cases} 3 - \frac{\sqrt{-1 + 12 i}}{2} + \frac{i}{2} & \text{for}\: 3 - \frac{\sqrt{-1 + 12 i}}{2} + \frac{i}{2} \geq 0 \\\text{NaN} & \text{otherwise} \end{cases}\right)}\right)$$
=
/ / ________________ ________________ \ | | ___________ / 2 ___________ / 2 | | | I \/ -1 + 12*I \/ -36 + (6 - I) I I \/ -1 + 12*I I \/ -36 + (6 - I) | <81 for And|3 + - + ------------- >= 0, 3 + ------------------- - - >= 0, 3 + - - ------------- >= 0, -3 + - + ------------------- <= 0| | \ 2 2 2 2 2 2 2 2 / | \nan otherwise
$$\begin{cases} 81 & \text{for}\: 3 + \frac{i}{2} + \frac{\sqrt{-1 + 12 i}}{2} \geq 0 \wedge 3 + \frac{\sqrt{-36 + \left(6 - i\right)^{2}}}{2} - \frac{i}{2} \geq 0 \wedge 3 - \frac{\sqrt{-1 + 12 i}}{2} + \frac{i}{2} \geq 0 \wedge -3 + \frac{\sqrt{-36 + \left(6 - i\right)^{2}}}{2} + \frac{i}{2} \leq 0 \\\text{NaN} & \text{otherwise} \end{cases}$$
Piecewise((81, (3 + i/2 + sqrt(-1 + 12*i)/2 >= 0)∧(3 + i/2 - sqrt(-1 + 12*i)/2 >= 0)∧(3 + sqrt(-36 + (6 - i)^2)/2 - i/2 >= 0)∧(-3 + i/2 + sqrt(-36 + (6 - i)^2)/2 <= 0)), (nan, True))
Respuesta numérica
[src]
x1 = 4.38669370582532 + 1.6639586236823*i
x2 = 1.87329098020607 - 0.899121596812672*i
x3 = 1.87329098020607 + 0.899121596812672*i
x3 = 1.87329098020607 + 0.899121596812672*i