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- La ecuación:
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Ecuación 6*x^2+x-7=0
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Ecuación 2-5(3+2x)=17
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Ecuación (6*x+8)/2+5=5*x/3
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Ecuación x^2-11*x+10=0
- Expresar {x} en función de y en la ecuación:
- -9*x-12*y=-19
- -8*x+3*y=-4
- 10*x+3*y=2
- -10*x-12*y=-10
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Expresiones idénticas
- logsqrt(dos x-a)/logsqrt(dos -x)=2
- logaritmo de raíz cuadrada de (2x menos a) dividir por logaritmo de raíz cuadrada de (2 menos x) es igual a 2
- logaritmo de raíz cuadrada de (dos x menos a) dividir por logaritmo de raíz cuadrada de (dos menos x) es igual a 2
- log√(2x-a)/log√(2-x)=2
- logsqrt2x-a/logsqrt2-x=2
- logsqrt(2x-a) dividir por logsqrt(2-x)=2
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Expresiones semejantes
- logsqrt(2x-a)/logsqrt(2+x)=2
- logsqrt(2x+a)/logsqrt(2-x)=2
logsqrt(2x-a)/logsqrt(2-x)=2 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
/ _________\
log\\/ 2*x - a /
---------------- = 2
/ _______\
log\\/ 2 - x /
$$\frac{\log{\left(\sqrt{- a + 2 x} \right)}}{\log{\left(\sqrt{2 - x} \right)}} = 2$$
Gráfica
Respuesta rápida
[src]
_______________________ _______________________
4 / 2 2 /atan2(-im(a), 5 - re(a))\ 4 / 2 2 /atan2(-im(a), 5 - re(a))\
x1 = 3 - \/ (5 - re(a)) + im (a) *cos|------------------------| - I*\/ (5 - re(a)) + im (a) *sin|------------------------|
\ 2 / \ 2 /
$$x_{1} = - i \sqrt[4]{\left(5 - \operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- \operatorname{im}{\left(a\right)},5 - \operatorname{re}{\left(a\right)} \right)}}{2} \right)} - \sqrt[4]{\left(5 - \operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- \operatorname{im}{\left(a\right)},5 - \operatorname{re}{\left(a\right)} \right)}}{2} \right)} + 3$$
_______________________ _______________________
4 / 2 2 /atan2(-im(a), 5 - re(a))\ 4 / 2 2 /atan2(-im(a), 5 - re(a))\
x2 = 3 + \/ (5 - re(a)) + im (a) *cos|------------------------| + I*\/ (5 - re(a)) + im (a) *sin|------------------------|
\ 2 / \ 2 /
$$x_{2} = i \sqrt[4]{\left(5 - \operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- \operatorname{im}{\left(a\right)},5 - \operatorname{re}{\left(a\right)} \right)}}{2} \right)} + \sqrt[4]{\left(5 - \operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- \operatorname{im}{\left(a\right)},5 - \operatorname{re}{\left(a\right)} \right)}}{2} \right)} + 3$$
x2 = i*((5 - re(a))^2 + im(a)^2)^(1/4)*sin(atan2(-im(a, 5 - re(a))/2) + ((5 - re(a))^2 + im(a)^2)^(1/4)*cos(atan2(-im(a), 5 - re(a))/2) + 3)
Suma y producto de raíces
[src]
suma
_______________________ _______________________ _______________________ _______________________
4 / 2 2 /atan2(-im(a), 5 - re(a))\ 4 / 2 2 /atan2(-im(a), 5 - re(a))\ 4 / 2 2 /atan2(-im(a), 5 - re(a))\ 4 / 2 2 /atan2(-im(a), 5 - re(a))\
3 - \/ (5 - re(a)) + im (a) *cos|------------------------| - I*\/ (5 - re(a)) + im (a) *sin|------------------------| + 3 + \/ (5 - re(a)) + im (a) *cos|------------------------| + I*\/ (5 - re(a)) + im (a) *sin|------------------------|
\ 2 / \ 2 / \ 2 / \ 2 /
$$\left(- i \sqrt[4]{\left(5 - \operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- \operatorname{im}{\left(a\right)},5 - \operatorname{re}{\left(a\right)} \right)}}{2} \right)} - \sqrt[4]{\left(5 - \operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- \operatorname{im}{\left(a\right)},5 - \operatorname{re}{\left(a\right)} \right)}}{2} \right)} + 3\right) + \left(i \sqrt[4]{\left(5 - \operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- \operatorname{im}{\left(a\right)},5 - \operatorname{re}{\left(a\right)} \right)}}{2} \right)} + \sqrt[4]{\left(5 - \operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- \operatorname{im}{\left(a\right)},5 - \operatorname{re}{\left(a\right)} \right)}}{2} \right)} + 3\right)$$
=
6
$$6$$
producto
/ _______________________ _______________________ \ / _______________________ _______________________ \ | 4 / 2 2 /atan2(-im(a), 5 - re(a))\ 4 / 2 2 /atan2(-im(a), 5 - re(a))\| | 4 / 2 2 /atan2(-im(a), 5 - re(a))\ 4 / 2 2 /atan2(-im(a), 5 - re(a))\| |3 - \/ (5 - re(a)) + im (a) *cos|------------------------| - I*\/ (5 - re(a)) + im (a) *sin|------------------------||*|3 + \/ (5 - re(a)) + im (a) *cos|------------------------| + I*\/ (5 - re(a)) + im (a) *sin|------------------------|| \ \ 2 / \ 2 // \ \ 2 / \ 2 //
$$\left(- i \sqrt[4]{\left(5 - \operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- \operatorname{im}{\left(a\right)},5 - \operatorname{re}{\left(a\right)} \right)}}{2} \right)} - \sqrt[4]{\left(5 - \operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- \operatorname{im}{\left(a\right)},5 - \operatorname{re}{\left(a\right)} \right)}}{2} \right)} + 3\right) \left(i \sqrt[4]{\left(5 - \operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- \operatorname{im}{\left(a\right)},5 - \operatorname{re}{\left(a\right)} \right)}}{2} \right)} + \sqrt[4]{\left(5 - \operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- \operatorname{im}{\left(a\right)},5 - \operatorname{re}{\left(a\right)} \right)}}{2} \right)} + 3\right)$$
=
4 + I*im(a) + re(a)
$$\operatorname{re}{\left(a\right)} + i \operatorname{im}{\left(a\right)} + 4$$
4 + i*im(a) + re(a)