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Otras calculadoras
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- La ecuación:
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Ecuación 3*x+5+(x+5)=(1-x)+4
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Ecuación 3-x/7=x/3
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Ecuación (7-x)^2=(x+16)^2
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Ecuación 1-2*(5-2*x)=-x-3
- Expresar {x} en función de y en la ecuación:
- -16*x-7*y=-5
- 17*x-11*y=2
- 7*x+19*y=12
- -5*x+5*y=-9
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Expresiones idénticas
- lg^ dos (-x)- tres *lg(x^ dos)+ cinco = cero
- lg al cuadrado ( menos x) menos 3 multiplicar por lg(x al cuadrado ) más 5 es igual a 0
- lg en el grado dos ( menos x) menos tres multiplicar por lg(x en el grado dos) más cinco es igual a cero
- lg2(-x)-3*lg(x2)+5=0
- lg2-x-3*lgx2+5=0
- lg²(-x)-3*lg(x²)+5=0
- lg en el grado 2(-x)-3*lg(x en el grado 2)+5=0
- lg^2(-x)-3lg(x^2)+5=0
- lg2(-x)-3lg(x2)+5=0
- lg2-x-3lgx2+5=0
- lg^2-x-3lgx^2+5=0
- lg^2(-x)-3*lg(x^2)+5=O
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Expresiones semejantes
- lg^2(x)-3*lg(x^2)+5=0
- lg^2(-x)-3*lg(x^2)-5=0
- lg^2(-x)+3*lg(x^2)+5=0
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Expresiones con funciones
- lg
- lglg(x+0,8)=0,400322
- lgx+0x=0
- lg(x+3)=2lgx
- lglglgx=1
- lg(x^2+6x+8)=lg(a−4x)
- lg
- lglg(x+0,8)=0,400322
- lgx+0x=0
- lg(x+3)=2lgx
- lglglgx=1
- lg(x^2+6x+8)=lg(a−4x)
lg^2(-x)-3*lg(x^2)+5=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
2 / 2\ log (-x) - 3*log\x / + 5 = 0
$$\left(\log{\left(- x \right)}^{2} - 3 \log{\left(x^{2} \right)}\right) + 5 = 0$$
Respuesta rápida
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/ /3*pi\\ / /3*pi\\
___________ |atan|----|| ___________ |atan|----||
/ / /3*pi\\\ ___ 4 / 2 | \ 2 /| ___ 4 / 2 | \ 2 /| / / /3*pi\\\
| ___________ |atan|----||| 3 - \/ 2 *\/ 4 + 9*pi *cos|----------| 3 - \/ 2 *\/ 4 + 9*pi *cos|----------| | ___________ |atan|----|||
| ___ 4 / 2 | \ 2 /|| \ 2 / \ 2 / | ___ 4 / 2 | \ 2 /||
x1 = - cos|\/ 2 *\/ 4 + 9*pi *sin|----------||*e - I*e *sin|\/ 2 *\/ 4 + 9*pi *sin|----------||
\ \ 2 // \ \ 2 //
$$x_{1} = - \frac{\cos{\left(\sqrt{2} \sqrt[4]{4 + 9 \pi^{2}} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \pi}{2} \right)}}{2} \right)} \right)}}{e^{-3 + \sqrt{2} \sqrt[4]{4 + 9 \pi^{2}} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \pi}{2} \right)}}{2} \right)}}} - \frac{i \sin{\left(\sqrt{2} \sqrt[4]{4 + 9 \pi^{2}} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \pi}{2} \right)}}{2} \right)} \right)}}{e^{-3 + \sqrt{2} \sqrt[4]{4 + 9 \pi^{2}} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \pi}{2} \right)}}{2} \right)}}}$$
x1 = -exp(-sqrt(2)*(4 + 9*pi^2)^(1/4)*cos(atan(3*pi/2)/2) + 3)*cos(sqrt(2)*(4 + 9*pi^2)^(1/4)*sin(atan(3*pi/2)/2)) - i*exp(-sqrt(2)*(4 + 9*pi^2)^(1/4)*cos(atan(3*pi/2)/2) + 3)*sin(sqrt(2)*(4 + 9*pi^2)^(1/4)*sin(atan(3*pi/2)/2))
Suma y producto de raíces
[src]
suma
/ /3*pi\\ / /3*pi\\
___________ |atan|----|| ___________ |atan|----||
/ / /3*pi\\\ ___ 4 / 2 | \ 2 /| ___ 4 / 2 | \ 2 /| / / /3*pi\\\
| ___________ |atan|----||| 3 - \/ 2 *\/ 4 + 9*pi *cos|----------| 3 - \/ 2 *\/ 4 + 9*pi *cos|----------| | ___________ |atan|----|||
| ___ 4 / 2 | \ 2 /|| \ 2 / \ 2 / | ___ 4 / 2 | \ 2 /||
- cos|\/ 2 *\/ 4 + 9*pi *sin|----------||*e - I*e *sin|\/ 2 *\/ 4 + 9*pi *sin|----------||
\ \ 2 // \ \ 2 //
$$- \frac{\cos{\left(\sqrt{2} \sqrt[4]{4 + 9 \pi^{2}} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \pi}{2} \right)}}{2} \right)} \right)}}{e^{-3 + \sqrt{2} \sqrt[4]{4 + 9 \pi^{2}} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \pi}{2} \right)}}{2} \right)}}} - \frac{i \sin{\left(\sqrt{2} \sqrt[4]{4 + 9 \pi^{2}} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \pi}{2} \right)}}{2} \right)} \right)}}{e^{-3 + \sqrt{2} \sqrt[4]{4 + 9 \pi^{2}} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \pi}{2} \right)}}{2} \right)}}}$$
=
/ /3*pi\\ / /3*pi\\
___________ |atan|----|| ___________ |atan|----||
/ / /3*pi\\\ ___ 4 / 2 | \ 2 /| ___ 4 / 2 | \ 2 /| / / /3*pi\\\
| ___________ |atan|----||| 3 - \/ 2 *\/ 4 + 9*pi *cos|----------| 3 - \/ 2 *\/ 4 + 9*pi *cos|----------| | ___________ |atan|----|||
| ___ 4 / 2 | \ 2 /|| \ 2 / \ 2 / | ___ 4 / 2 | \ 2 /||
- cos|\/ 2 *\/ 4 + 9*pi *sin|----------||*e - I*e *sin|\/ 2 *\/ 4 + 9*pi *sin|----------||
\ \ 2 // \ \ 2 //
$$- \frac{\cos{\left(\sqrt{2} \sqrt[4]{4 + 9 \pi^{2}} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \pi}{2} \right)}}{2} \right)} \right)}}{e^{-3 + \sqrt{2} \sqrt[4]{4 + 9 \pi^{2}} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \pi}{2} \right)}}{2} \right)}}} - \frac{i \sin{\left(\sqrt{2} \sqrt[4]{4 + 9 \pi^{2}} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \pi}{2} \right)}}{2} \right)} \right)}}{e^{-3 + \sqrt{2} \sqrt[4]{4 + 9 \pi^{2}} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \pi}{2} \right)}}{2} \right)}}}$$
producto
/ /3*pi\\ / /3*pi\\
___________ |atan|----|| ___________ |atan|----||
/ / /3*pi\\\ ___ 4 / 2 | \ 2 /| ___ 4 / 2 | \ 2 /| / / /3*pi\\\
| ___________ |atan|----||| 3 - \/ 2 *\/ 4 + 9*pi *cos|----------| 3 - \/ 2 *\/ 4 + 9*pi *cos|----------| | ___________ |atan|----|||
| ___ 4 / 2 | \ 2 /|| \ 2 / \ 2 / | ___ 4 / 2 | \ 2 /||
- cos|\/ 2 *\/ 4 + 9*pi *sin|----------||*e - I*e *sin|\/ 2 *\/ 4 + 9*pi *sin|----------||
\ \ 2 // \ \ 2 //
$$- \frac{\cos{\left(\sqrt{2} \sqrt[4]{4 + 9 \pi^{2}} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \pi}{2} \right)}}{2} \right)} \right)}}{e^{-3 + \sqrt{2} \sqrt[4]{4 + 9 \pi^{2}} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \pi}{2} \right)}}{2} \right)}}} - \frac{i \sin{\left(\sqrt{2} \sqrt[4]{4 + 9 \pi^{2}} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \pi}{2} \right)}}{2} \right)} \right)}}{e^{-3 + \sqrt{2} \sqrt[4]{4 + 9 \pi^{2}} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \pi}{2} \right)}}{2} \right)}}}$$
=
/3*pi\
-I*atan|----|
/ /3*pi\\ \ 2 /
/ /3*pi\\ ___________ | I*atan|----|| --------------
___________ |atan|----|| ___ 4 / 2 | \ 2 /| 2
___ 4 / 2 | \ 2 /| \/ 2 *\/ 4 + 9*pi *\1 - e /*e
3 - \/ 2 *\/ 4 + 9*pi *cos|----------| - --------------------------------------------------------
\ 2 / 2
-e
$$- e^{- \sqrt{2} \sqrt[4]{4 + 9 \pi^{2}} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \pi}{2} \right)}}{2} \right)} + 3 - \frac{\sqrt{2} \left(1 - e^{i \operatorname{atan}{\left(\frac{3 \pi}{2} \right)}}\right) \sqrt[4]{4 + 9 \pi^{2}} e^{- \frac{i \operatorname{atan}{\left(\frac{3 \pi}{2} \right)}}{2}}}{2}}$$
-exp(3 - sqrt(2)*(4 + 9*pi^2)^(1/4)*cos(atan(3*pi/2)/2) - sqrt(2)*(4 + 9*pi^2)^(1/4)*(1 - exp(i*atan(3*pi/2)))*exp(-i*atan(3*pi/2)/2)/2)
Respuesta numérica
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x1 = -148.413159102577
x2 = -2.71828182845905
x3 = 0.616083893773979 + 0.245005112322469*i
x3 = 0.616083893773979 + 0.245005112322469*i
Gráfico