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- La ecuación:
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Ecuación x^3+3x^2-x-3=0
-
Ecuación (x+9)^2=36*x
-
Ecuación x^3-6x^2+11x-6=0
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Ecuación a+120=2000/5
- Expresar {x} en función de y en la ecuación:
- -6*x-12*y=9
- 9*x-1*y=17
- 10*x-2*y=11
- 12*x-3*y=-2
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Expresiones idénticas
- sqrt(tres ^(x+ tres))- veintisiete ^x= cero
- raíz cuadrada de (3 en el grado (x más 3)) menos 27 en el grado x es igual a 0
- raíz cuadrada de (tres en el grado (x más tres)) menos veintisiete en el grado x es igual a cero
- √(3^(x+3))-27^x=0
- sqrt(3(x+3))-27x=0
- sqrt3x+3-27x=0
- sqrt3^x+3-27^x=0
- sqrt(3^(x+3))-27^x=O
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Expresiones semejantes
- sqrt(3^(x+3))+27^x=0
- sqrt(3^(x-3))-27^x=0
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Expresiones con funciones
- Raíz cuadrada sqrt
- sqrt(1-x)=sqrt[3](x-2)
- sqrt(x)^1=0
- sqrt(x-2)+sqrt(x+6)=2
- sqrt(x-2)+sqrt(4-x)=x^2-6*x+11
- sqrt(5x+1)=sqrt(x+5)
sqrt(3^(x+3))-27^x=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Suma y producto de raíces
[src]
suma
3 log(27) 4*pi*I log(27) 4*pi*I - + -------- - -------- + -------- + -------- 5 5*log(3) 5*log(3) 5*log(3) 5*log(3)
$$\left(\frac{3}{5} + \left(\frac{\log{\left(27 \right)}}{5 \log{\left(3 \right)}} - \frac{4 i \pi}{5 \log{\left(3 \right)}}\right)\right) + \left(\frac{\log{\left(27 \right)}}{5 \log{\left(3 \right)}} + \frac{4 i \pi}{5 \log{\left(3 \right)}}\right)$$
=
3 2*log(27) - + --------- 5 5*log(3)
$$\frac{3}{5} + \frac{2 \log{\left(27 \right)}}{5 \log{\left(3 \right)}}$$
producto
/log(27) 4*pi*I \
3*|-------- - --------|
\5*log(3) 5*log(3)/ /log(27) 4*pi*I \
-----------------------*|-------- + --------|
5 \5*log(3) 5*log(3)/
$$\frac{3 \left(\frac{\log{\left(27 \right)}}{5 \log{\left(3 \right)}} - \frac{4 i \pi}{5 \log{\left(3 \right)}}\right)}{5} \left(\frac{\log{\left(27 \right)}}{5 \log{\left(3 \right)}} + \frac{4 i \pi}{5 \log{\left(3 \right)}}\right)$$
=
2
27 48*pi
--- + -----------
125 2
125*log (3)
$$\frac{27}{125} + \frac{48 \pi^{2}}{125 \log{\left(3 \right)}^{2}}$$
27/125 + 48*pi^2/(125*log(3)^2)
Respuesta rápida
[src]
x1 = 3/5
$$x_{1} = \frac{3}{5}$$
log(27) 4*pi*I
x2 = -------- - --------
5*log(3) 5*log(3)
$$x_{2} = \frac{\log{\left(27 \right)}}{5 \log{\left(3 \right)}} - \frac{4 i \pi}{5 \log{\left(3 \right)}}$$
log(27) 4*pi*I
x3 = -------- + --------
5*log(3) 5*log(3)
$$x_{3} = \frac{\log{\left(27 \right)}}{5 \log{\left(3 \right)}} + \frac{4 i \pi}{5 \log{\left(3 \right)}}$$
x3 = log(27)/(5*log(3)) + 4*i*pi/(5*log(3))
Respuesta numérica
[src]
x1 = -104.117772726669
x2 = -124.117772726669
x3 = -114.117772726669
x4 = -94.1177727266686
x5 = -112.117772726669
x6 = -110.117772726669
x7 = -84.1177727266686
x8 = -130.117772726669
x9 = -108.117772726669
x10 = -92.1177727266686
x11 = -126.117772726669
x12 = -78.1177727266686
x13 = -62.1177727266686
x14 = -90.1177727266686
x15 = -136.117772726669
x16 = -118.117772726669
x17 = -88.1177727266686
x18 = -138.117772726669
x19 = -72.1177727266686
x20 = 0.6
x21 = -82.1177727266686
x22 = -122.117772726669
x23 = -54.1177727266686
x24 = -134.117772726669
x25 = -128.117772726669
x26 = -80.1177727266686
x27 = -60.1177727266686
x28 = -68.1177727266686
x29 = -100.117772726669
x30 = -86.1177727266686
x31 = -96.1177727266686
x32 = -64.1177727266686
x33 = -56.1177727266686
x34 = -58.1177727266686
x35 = -70.1177727266686
x36 = -76.1177727266686
x37 = -98.1177727266686
x38 = -66.1177727266686
x39 = -120.117772726669
x40 = -106.117772726669
x41 = -102.117772726669
x42 = -132.117772726669
x43 = -116.117772726669
x44 = -74.1177727266686
x44 = -74.1177727266686