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Otras calculadoras
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- La ecuación:
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Ecuación 3^x=2
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Ecuación (x-11)*(-x+9)=0
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Ecuación 8*x=2
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Ecuación 3^x=81
- Expresar {x} en función de y en la ecuación:
- 4*x-1*y=-3
- -11*x+9*y=-20
- 9*x+17*y=13
- -5*x+6*y=-8
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Expresiones idénticas
- (x- uno)/ seis +x/a+(tres *(x+ uno))/(dos *a^ dos)= cero
- (x menos 1) dividir por 6 más x dividir por a más (3 multiplicar por (x más 1)) dividir por (2 multiplicar por a al cuadrado ) es igual a 0
- (x menos uno) dividir por seis más x dividir por a más (tres multiplicar por (x más uno)) dividir por (dos multiplicar por a en el grado dos) es igual a cero
- (x-1)/6+x/a+(3*(x+1))/(2*a2)=0
- x-1/6+x/a+3*x+1/2*a2=0
- (x-1)/6+x/a+(3*(x+1))/(2*a²)=0
- (x-1)/6+x/a+(3*(x+1))/(2*a en el grado 2)=0
- (x-1)/6+x/a+(3(x+1))/(2a^2)=0
- (x-1)/6+x/a+(3(x+1))/(2a2)=0
- x-1/6+x/a+3x+1/2a2=0
- x-1/6+x/a+3x+1/2a^2=0
- (x-1)/6+x/a+(3*(x+1))/(2*a^2)=O
- (x-1) dividir por 6+x dividir por a+(3*(x+1)) dividir por (2*a^2)=0
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Expresiones semejantes
- (x-1)/6+x/a-(3*(x+1))/(2*a^2)=0
- (x-1)/6+x/a+(3*(x-1))/(2*a^2)=0
- (x-1)/6-x/a+(3*(x+1))/(2*a^2)=0
- (x+1)/6+x/a+(3*(x+1))/(2*a^2)=0
(x-1)/6+x/a+(3*(x+1))/(2*a^2)=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
x - 1 x 3*(x + 1)
----- + - + --------- = 0
6 a 2
2*a
$$\left(\frac{x - 1}{6} + \frac{x}{a}\right) + \frac{3 \left(x + 1\right)}{2 a^{2}} = 0$$
Gráfica
Suma y producto de raíces
[src]
suma
2 / (3 + re(a))*im(a) (-3 + re(a))*im(a) \ im (a) (-3 + re(a))*(3 + re(a)) I*|--------------------- - ---------------------| + --------------------- + ------------------------ | 2 2 2 2 | 2 2 2 2 \(3 + re(a)) + im (a) (3 + re(a)) + im (a)/ (3 + re(a)) + im (a) (3 + re(a)) + im (a)
$$i \left(- \frac{\left(\operatorname{re}{\left(a\right)} - 3\right) \operatorname{im}{\left(a\right)}}{\left(\operatorname{re}{\left(a\right)} + 3\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} + \frac{\left(\operatorname{re}{\left(a\right)} + 3\right) \operatorname{im}{\left(a\right)}}{\left(\operatorname{re}{\left(a\right)} + 3\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}}\right) + \frac{\left(\operatorname{re}{\left(a\right)} - 3\right) \left(\operatorname{re}{\left(a\right)} + 3\right)}{\left(\operatorname{re}{\left(a\right)} + 3\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} + \frac{\left(\operatorname{im}{\left(a\right)}\right)^{2}}{\left(\operatorname{re}{\left(a\right)} + 3\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}}$$
=
2 / (3 + re(a))*im(a) (-3 + re(a))*im(a) \ im (a) (-3 + re(a))*(3 + re(a)) I*|--------------------- - ---------------------| + --------------------- + ------------------------ | 2 2 2 2 | 2 2 2 2 \(3 + re(a)) + im (a) (3 + re(a)) + im (a)/ (3 + re(a)) + im (a) (3 + re(a)) + im (a)
$$i \left(- \frac{\left(\operatorname{re}{\left(a\right)} - 3\right) \operatorname{im}{\left(a\right)}}{\left(\operatorname{re}{\left(a\right)} + 3\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} + \frac{\left(\operatorname{re}{\left(a\right)} + 3\right) \operatorname{im}{\left(a\right)}}{\left(\operatorname{re}{\left(a\right)} + 3\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}}\right) + \frac{\left(\operatorname{re}{\left(a\right)} - 3\right) \left(\operatorname{re}{\left(a\right)} + 3\right)}{\left(\operatorname{re}{\left(a\right)} + 3\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} + \frac{\left(\operatorname{im}{\left(a\right)}\right)^{2}}{\left(\operatorname{re}{\left(a\right)} + 3\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}}$$
producto
2 / (3 + re(a))*im(a) (-3 + re(a))*im(a) \ im (a) (-3 + re(a))*(3 + re(a)) I*|--------------------- - ---------------------| + --------------------- + ------------------------ | 2 2 2 2 | 2 2 2 2 \(3 + re(a)) + im (a) (3 + re(a)) + im (a)/ (3 + re(a)) + im (a) (3 + re(a)) + im (a)
$$i \left(- \frac{\left(\operatorname{re}{\left(a\right)} - 3\right) \operatorname{im}{\left(a\right)}}{\left(\operatorname{re}{\left(a\right)} + 3\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} + \frac{\left(\operatorname{re}{\left(a\right)} + 3\right) \operatorname{im}{\left(a\right)}}{\left(\operatorname{re}{\left(a\right)} + 3\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}}\right) + \frac{\left(\operatorname{re}{\left(a\right)} - 3\right) \left(\operatorname{re}{\left(a\right)} + 3\right)}{\left(\operatorname{re}{\left(a\right)} + 3\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} + \frac{\left(\operatorname{im}{\left(a\right)}\right)^{2}}{\left(\operatorname{re}{\left(a\right)} + 3\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}}$$
=
2
im (a) + (-3 + re(a))*(3 + re(a)) + 6*I*im(a)
---------------------------------------------
2 2
(3 + re(a)) + im (a)
$$\frac{\left(\operatorname{re}{\left(a\right)} - 3\right) \left(\operatorname{re}{\left(a\right)} + 3\right) + \left(\operatorname{im}{\left(a\right)}\right)^{2} + 6 i \operatorname{im}{\left(a\right)}}{\left(\operatorname{re}{\left(a\right)} + 3\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}}$$
(im(a)^2 + (-3 + re(a))*(3 + re(a)) + 6*i*im(a))/((3 + re(a))^2 + im(a)^2)
Respuesta rápida
[src]
2
/ (3 + re(a))*im(a) (-3 + re(a))*im(a) \ im (a) (-3 + re(a))*(3 + re(a))
x1 = I*|--------------------- - ---------------------| + --------------------- + ------------------------
| 2 2 2 2 | 2 2 2 2
\(3 + re(a)) + im (a) (3 + re(a)) + im (a)/ (3 + re(a)) + im (a) (3 + re(a)) + im (a)
$$x_{1} = i \left(- \frac{\left(\operatorname{re}{\left(a\right)} - 3\right) \operatorname{im}{\left(a\right)}}{\left(\operatorname{re}{\left(a\right)} + 3\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} + \frac{\left(\operatorname{re}{\left(a\right)} + 3\right) \operatorname{im}{\left(a\right)}}{\left(\operatorname{re}{\left(a\right)} + 3\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}}\right) + \frac{\left(\operatorname{re}{\left(a\right)} - 3\right) \left(\operatorname{re}{\left(a\right)} + 3\right)}{\left(\operatorname{re}{\left(a\right)} + 3\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} + \frac{\left(\operatorname{im}{\left(a\right)}\right)^{2}}{\left(\operatorname{re}{\left(a\right)} + 3\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}}$$
x1 = i*(-(re(a) - 3)*im(a)/((re(a) + 3)^2 + im(a)^2) + (re(a) + 3)*im(a)/((re(a) + 3)^2 + im(a)^2)) + (re(a) - 3)*(re(a) + 3)/((re(a) + 3)^2 + im(a)^2) + im(a)^2/((re(a) + 3)^2 + im(a)^2)