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- La ecuación:
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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
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Expresiones idénticas
- arctgx-ln((dos *y+ tres)^(uno / dos))= cero
- arctgx menos ln((2 multiplicar por y más 3) en el grado (1 dividir por 2)) es igual a 0
- arctgx menos ln((dos multiplicar por y más tres) en el grado (uno dividir por dos)) es igual a cero
- arctgx-ln((2*y+3)(1/2))=0
- arctgx-ln2*y+31/2=0
- arctgx-ln((2y+3)^(1/2))=0
- arctgx-ln((2y+3)(1/2))=0
- arctgx-ln2y+31/2=0
- arctgx-ln2y+3^1/2=0
- arctgx-ln((2*y+3)^(1/2))=O
- arctgx-ln((2*y+3)^(1 dividir por 2))=0
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Expresiones semejantes
- arctgx-ln((2*y-3)^(1/2))=0
- arctgx+ln((2*y+3)^(1/2))=0
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Expresiones con funciones
- ln
- ln(x)=-1
- ln(-x+1)
- ln(x)=18,24156
- ln(x^2+1)*1/2=0
- ln*x+(x+1)^3=0
arctgx-ln((2*y+3)^(1/2))=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
/ _________\ acot(x) - log\\/ 2*y + 3 / = 0
$$- \log{\left(\sqrt{2 y + 3} \right)} + \operatorname{acot}{\left(x \right)} = 0$$
Gráfica
Respuesta rápida
[src]
2*re(acot(x)) 2*re(acot(x))
3 cos(2*im(acot(x)))*e I*e *sin(2*im(acot(x)))
y1 = - - + --------------------------------- + -----------------------------------
2 2 2
$$y_{1} = \frac{i e^{2 \operatorname{re}{\left(\operatorname{acot}{\left(x \right)}\right)}} \sin{\left(2 \operatorname{im}{\left(\operatorname{acot}{\left(x \right)}\right)} \right)}}{2} + \frac{e^{2 \operatorname{re}{\left(\operatorname{acot}{\left(x \right)}\right)}} \cos{\left(2 \operatorname{im}{\left(\operatorname{acot}{\left(x \right)}\right)} \right)}}{2} - \frac{3}{2}$$
y1 = i*exp(2*re(acot(x)))*sin(2*im(acot(x)))/2 + exp(2*re(acot(x)))*cos(2*im(acot(x)))/2 - 3/2
Suma y producto de raíces
[src]
suma
2*re(acot(x)) 2*re(acot(x)) 3 cos(2*im(acot(x)))*e I*e *sin(2*im(acot(x))) - - + --------------------------------- + ----------------------------------- 2 2 2
$$\frac{i e^{2 \operatorname{re}{\left(\operatorname{acot}{\left(x \right)}\right)}} \sin{\left(2 \operatorname{im}{\left(\operatorname{acot}{\left(x \right)}\right)} \right)}}{2} + \frac{e^{2 \operatorname{re}{\left(\operatorname{acot}{\left(x \right)}\right)}} \cos{\left(2 \operatorname{im}{\left(\operatorname{acot}{\left(x \right)}\right)} \right)}}{2} - \frac{3}{2}$$
=
2*re(acot(x)) 2*re(acot(x)) 3 cos(2*im(acot(x)))*e I*e *sin(2*im(acot(x))) - - + --------------------------------- + ----------------------------------- 2 2 2
$$\frac{i e^{2 \operatorname{re}{\left(\operatorname{acot}{\left(x \right)}\right)}} \sin{\left(2 \operatorname{im}{\left(\operatorname{acot}{\left(x \right)}\right)} \right)}}{2} + \frac{e^{2 \operatorname{re}{\left(\operatorname{acot}{\left(x \right)}\right)}} \cos{\left(2 \operatorname{im}{\left(\operatorname{acot}{\left(x \right)}\right)} \right)}}{2} - \frac{3}{2}$$
producto
2*re(acot(x)) 2*re(acot(x)) 3 cos(2*im(acot(x)))*e I*e *sin(2*im(acot(x))) - - + --------------------------------- + ----------------------------------- 2 2 2
$$\frac{i e^{2 \operatorname{re}{\left(\operatorname{acot}{\left(x \right)}\right)}} \sin{\left(2 \operatorname{im}{\left(\operatorname{acot}{\left(x \right)}\right)} \right)}}{2} + \frac{e^{2 \operatorname{re}{\left(\operatorname{acot}{\left(x \right)}\right)}} \cos{\left(2 \operatorname{im}{\left(\operatorname{acot}{\left(x \right)}\right)} \right)}}{2} - \frac{3}{2}$$
=
2*re(acot(x)) 2*re(acot(x)) 3 cos(2*im(acot(x)))*e I*e *sin(2*im(acot(x))) - - + --------------------------------- + ----------------------------------- 2 2 2
$$\frac{i e^{2 \operatorname{re}{\left(\operatorname{acot}{\left(x \right)}\right)}} \sin{\left(2 \operatorname{im}{\left(\operatorname{acot}{\left(x \right)}\right)} \right)}}{2} + \frac{e^{2 \operatorname{re}{\left(\operatorname{acot}{\left(x \right)}\right)}} \cos{\left(2 \operatorname{im}{\left(\operatorname{acot}{\left(x \right)}\right)} \right)}}{2} - \frac{3}{2}$$
-3/2 + cos(2*im(acot(x)))*exp(2*re(acot(x)))/2 + i*exp(2*re(acot(x)))*sin(2*im(acot(x)))/2