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- La ecuación:
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Ecuación 3x-2(3x+4)=10
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Ecuación x(x^2+2x+1)=6(x+1)
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Ecuación 4x+1=-3x+15
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Ecuación 6*3+x=72
- Expresar {x} en función de y en la ecuación:
- 7*x-1*y=0
- -18*x-6*y=-1
- 13*x-12*y=19
- 6*x+9*y=-9
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Expresiones idénticas
- log(x^ dos -a)/log(dos)= uno
- logaritmo de (x al cuadrado menos a) dividir por logaritmo de (2) es igual a 1
- logaritmo de (x en el grado dos menos a) dividir por logaritmo de (dos) es igual a uno
- log(x2-a)/log(2)=1
- logx2-a/log2=1
- log(x²-a)/log(2)=1
- log(x en el grado 2-a)/log(2)=1
- logx^2-a/log2=1
- log(x^2-a) dividir por log(2)=1
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Expresiones semejantes
- log(x^2+a)/log(2)=1
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Expresiones con funciones
- Logaritmo log
- log(x+1)=2*(x-2)^2
- log1÷2(x^2+4x-5)=-4
- log((2,2)+log(3,3+x))=0
- log(8)*x=2+x
- log(x)=-5,29
- Logaritmo log
- log(x+1)=2*(x-2)^2
- log1÷2(x^2+4x-5)=-4
- log((2,2)+log(3,3+x))=0
- log(8)*x=2+x
- log(x)=-5,29
log(x^2-a)/log(2)=1 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
/ 2 \ log\x - a/ ----------- = 1 log(2)
$$\frac{\log{\left(- a + x^{2} \right)}}{\log{\left(2 \right)}} = 1$$
Gráfica
Respuesta rápida
[src]
_______________________ _______________________
4 / 2 2 /atan2(im(a), 2 + re(a))\ 4 / 2 2 /atan2(im(a), 2 + re(a))\
x1 = - \/ (2 + re(a)) + im (a) *cos|-----------------------| - I*\/ (2 + re(a)) + im (a) *sin|-----------------------|
\ 2 / \ 2 /
$$x_{1} = - i \sqrt[4]{\left(\operatorname{re}{\left(a\right)} + 2\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} + 2 \right)}}{2} \right)} - \sqrt[4]{\left(\operatorname{re}{\left(a\right)} + 2\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} + 2 \right)}}{2} \right)}$$
_______________________ _______________________
4 / 2 2 /atan2(im(a), 2 + re(a))\ 4 / 2 2 /atan2(im(a), 2 + re(a))\
x2 = \/ (2 + re(a)) + im (a) *cos|-----------------------| + I*\/ (2 + re(a)) + im (a) *sin|-----------------------|
\ 2 / \ 2 /
$$x_{2} = i \sqrt[4]{\left(\operatorname{re}{\left(a\right)} + 2\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} + 2 \right)}}{2} \right)} + \sqrt[4]{\left(\operatorname{re}{\left(a\right)} + 2\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} + 2 \right)}}{2} \right)}$$
x2 = i*((re(a) + 2)^2 + im(a)^2)^(1/4)*sin(atan2(im(a, re(a) + 2)/2) + ((re(a) + 2)^2 + im(a)^2)^(1/4)*cos(atan2(im(a), re(a) + 2)/2))
Suma y producto de raíces
[src]
suma
_______________________ _______________________ _______________________ _______________________
4 / 2 2 /atan2(im(a), 2 + re(a))\ 4 / 2 2 /atan2(im(a), 2 + re(a))\ 4 / 2 2 /atan2(im(a), 2 + re(a))\ 4 / 2 2 /atan2(im(a), 2 + re(a))\
- \/ (2 + re(a)) + im (a) *cos|-----------------------| - I*\/ (2 + re(a)) + im (a) *sin|-----------------------| + \/ (2 + re(a)) + im (a) *cos|-----------------------| + I*\/ (2 + re(a)) + im (a) *sin|-----------------------|
\ 2 / \ 2 / \ 2 / \ 2 /
$$\left(- i \sqrt[4]{\left(\operatorname{re}{\left(a\right)} + 2\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} + 2 \right)}}{2} \right)} - \sqrt[4]{\left(\operatorname{re}{\left(a\right)} + 2\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} + 2 \right)}}{2} \right)}\right) + \left(i \sqrt[4]{\left(\operatorname{re}{\left(a\right)} + 2\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} + 2 \right)}}{2} \right)} + \sqrt[4]{\left(\operatorname{re}{\left(a\right)} + 2\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} + 2 \right)}}{2} \right)}\right)$$
=
0
$$0$$
producto
/ _______________________ _______________________ \ / _______________________ _______________________ \ | 4 / 2 2 /atan2(im(a), 2 + re(a))\ 4 / 2 2 /atan2(im(a), 2 + re(a))\| |4 / 2 2 /atan2(im(a), 2 + re(a))\ 4 / 2 2 /atan2(im(a), 2 + re(a))\| |- \/ (2 + re(a)) + im (a) *cos|-----------------------| - I*\/ (2 + re(a)) + im (a) *sin|-----------------------||*|\/ (2 + re(a)) + im (a) *cos|-----------------------| + I*\/ (2 + re(a)) + im (a) *sin|-----------------------|| \ \ 2 / \ 2 // \ \ 2 / \ 2 //
$$\left(- i \sqrt[4]{\left(\operatorname{re}{\left(a\right)} + 2\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} + 2 \right)}}{2} \right)} - \sqrt[4]{\left(\operatorname{re}{\left(a\right)} + 2\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} + 2 \right)}}{2} \right)}\right) \left(i \sqrt[4]{\left(\operatorname{re}{\left(a\right)} + 2\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} + 2 \right)}}{2} \right)} + \sqrt[4]{\left(\operatorname{re}{\left(a\right)} + 2\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} + 2 \right)}}{2} \right)}\right)$$
=
_______________________ / 2 2 I*atan2(im(a), 2 + re(a)) -\/ (2 + re(a)) + im (a) *e
$$- \sqrt{\left(\operatorname{re}{\left(a\right)} + 2\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} e^{i \operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} + 2 \right)}}$$
-sqrt((2 + re(a))^2 + im(a)^2)*exp(i*atan2(im(a), 2 + re(a)))