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- La ecuación:
-
Ecuación 3x^2=0
- Ecuación x^2-49=0
-
Ecuación 1-x/2=x/3
-
Ecuación 3*x^2-9=0
- Expresar {x} en función de y en la ecuación:
- 4*x-1*y=-3
- -11*x+9*y=-20
- -19*x+14*y=20
- 5*x-14*y=-15
-
Expresiones idénticas
- tres log6(tres - tres / dos x+ tres)=4log6(2+ uno / uno +x)+3
- 3 logaritmo de 6(3 menos 3 dividir por 2x más 3) es igual a 4 logaritmo de 6(2 más 1 dividir por 1 más x) más 3
- tres logaritmo de 6(tres menos tres dividir por dos x más tres) es igual a 4 logaritmo de 6(2 más uno dividir por uno más x) más 3
- 3log63-3/2x+3=4log62+1/1+x+3
- 3log6(3-3 dividir por 2x+3)=4log6(2+1 dividir por 1+x)+3
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Expresiones semejantes
- 3log6(3-3/2x+3)=4log6(2+1/1-x)+3
- 3log6(3-3/2x+3)=4log6(2-1/1+x)+3
- 3log6(3+3/2x+3)=4log6(2+1/1+x)+3
- 3log6(3-3/2x-3)=4log6(2+1/1+x)+3
- 3log6(3-3/2x+3)=4log6(2+1/1+x)-3
3log6(3-3/2x+3)=4log6(2+1/1+x)+3 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
/ 3*x \
log|3 - --- + 3|
\ 2 / log(1 + 2 + x)
3*---------------- = 4*-------------- + 3
log(6) log(6)
$$3 \frac{\log{\left(\left(3 - \frac{3 x}{2}\right) + 3 \right)}}{\log{\left(6 \right)}} = 4 \frac{\log{\left(x + \left(1 + 2\right) \right)}}{\log{\left(6 \right)}} + 3$$
Respuesta rápida
[src]
________________________________________________________________________________________________________________________________________________________________________________
/ _________________________
/ / ________
/ 3585 / 2401 2401*\/ 344145 343 4822273
/ ---- - 2*3 / ----- + --------------- + --------------------------------- + ------------------------------------------------------------------------------------------------
/ 8192 \/ 65536 589824 _________________________ ______________________________________________________________________________ ______________________________________________________________________________
/ / ________ / _________________________ / _________________________
/ / 2401 2401*\/ 344145 / / ________ / / ________
/ 96*3 / ----- + --------------- / 3585 / 2401 2401*\/ 344145 343 / 3585 / 2401 2401*\/ 344145 343
/ \/ 65536 589824 1048576* / ----- + 2*3 / ----- + --------------- - --------------------------------- / ----- + 2*3 / ----- + --------------- - ---------------------------------
/ / 16384 \/ 65536 589824 _________________________ / 16384 \/ 65536 589824 _________________________
/ / / ________ / / ________
/ / / 2401 2401*\/ 344145 / / 2401 2401*\/ 344145
/ / 96*3 / ----- + --------------- / 96*3 / ----- + ---------------
769 \/ \/ \/ 65536 589824 \/ \/ 65536 589824
x1 = - --- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ----------------------------------------------------------------------------------------
256 2 2
$$x_{1} = - \frac{769}{256} - \frac{\sqrt{- \frac{343}{96 \sqrt[3]{\frac{2401}{65536} + \frac{2401 \sqrt{344145}}{589824}}} + \frac{3585}{16384} + 2 \sqrt[3]{\frac{2401}{65536} + \frac{2401 \sqrt{344145}}{589824}}}}{2} + \frac{\sqrt{- 2 \sqrt[3]{\frac{2401}{65536} + \frac{2401 \sqrt{344145}}{589824}} + \frac{3585}{8192} + \frac{343}{96 \sqrt[3]{\frac{2401}{65536} + \frac{2401 \sqrt{344145}}{589824}}} + \frac{4822273}{1048576 \sqrt{- \frac{343}{96 \sqrt[3]{\frac{2401}{65536} + \frac{2401 \sqrt{344145}}{589824}}} + \frac{3585}{16384} + 2 \sqrt[3]{\frac{2401}{65536} + \frac{2401 \sqrt{344145}}{589824}}}}}}{2}$$
x1 = -769/256 - sqrt(-343/(96*(2401/65536 + 2401*sqrt(344145)/589824)^(1/3)) + 3585/16384 + 2*(2401/65536 + 2401*sqrt(344145)/589824)^(1/3))/2 + sqrt(-2*(2401/65536 + 2401*sqrt(344145)/589824)^(1/3) + 3585/8192 + 343/(96*(2401/65536 + 2401*sqrt(344145)/589824)^(1/3)) + 4822273/(1048576*sqrt(-343/(96*(2401/65536 + 2401*sqrt(344145)/589824)^(1/3)) + 3585/16384 + 2*(2401/65536 + 2401*sqrt(344145)/589824)^(1/3))))/2
Suma y producto de raíces
[src]
suma
________________________________________________________________________________________________________________________________________________________________________________
/ _________________________
/ / ________
/ 3585 / 2401 2401*\/ 344145 343 4822273
/ ---- - 2*3 / ----- + --------------- + --------------------------------- + ------------------------------------------------------------------------------------------------
/ 8192 \/ 65536 589824 _________________________ ______________________________________________________________________________ ______________________________________________________________________________
/ / ________ / _________________________ / _________________________
/ / 2401 2401*\/ 344145 / / ________ / / ________
/ 96*3 / ----- + --------------- / 3585 / 2401 2401*\/ 344145 343 / 3585 / 2401 2401*\/ 344145 343
/ \/ 65536 589824 1048576* / ----- + 2*3 / ----- + --------------- - --------------------------------- / ----- + 2*3 / ----- + --------------- - ---------------------------------
/ / 16384 \/ 65536 589824 _________________________ / 16384 \/ 65536 589824 _________________________
/ / / ________ / / ________
/ / / 2401 2401*\/ 344145 / / 2401 2401*\/ 344145
/ / 96*3 / ----- + --------------- / 96*3 / ----- + ---------------
769 \/ \/ \/ 65536 589824 \/ \/ 65536 589824
- --- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ----------------------------------------------------------------------------------------
256 2 2
$$- \frac{769}{256} - \frac{\sqrt{- \frac{343}{96 \sqrt[3]{\frac{2401}{65536} + \frac{2401 \sqrt{344145}}{589824}}} + \frac{3585}{16384} + 2 \sqrt[3]{\frac{2401}{65536} + \frac{2401 \sqrt{344145}}{589824}}}}{2} + \frac{\sqrt{- 2 \sqrt[3]{\frac{2401}{65536} + \frac{2401 \sqrt{344145}}{589824}} + \frac{3585}{8192} + \frac{343}{96 \sqrt[3]{\frac{2401}{65536} + \frac{2401 \sqrt{344145}}{589824}}} + \frac{4822273}{1048576 \sqrt{- \frac{343}{96 \sqrt[3]{\frac{2401}{65536} + \frac{2401 \sqrt{344145}}{589824}}} + \frac{3585}{16384} + 2 \sqrt[3]{\frac{2401}{65536} + \frac{2401 \sqrt{344145}}{589824}}}}}}{2}$$
=
________________________________________________________________________________________________________________________________________________________________________________
/ _________________________
/ / ________
/ 3585 / 2401 2401*\/ 344145 343 4822273
/ ---- - 2*3 / ----- + --------------- + --------------------------------- + ------------------------------------------------------------------------------------------------
/ 8192 \/ 65536 589824 _________________________ ______________________________________________________________________________ ______________________________________________________________________________
/ / ________ / _________________________ / _________________________
/ / 2401 2401*\/ 344145 / / ________ / / ________
/ 96*3 / ----- + --------------- / 3585 / 2401 2401*\/ 344145 343 / 3585 / 2401 2401*\/ 344145 343
/ \/ 65536 589824 1048576* / ----- + 2*3 / ----- + --------------- - --------------------------------- / ----- + 2*3 / ----- + --------------- - ---------------------------------
/ / 16384 \/ 65536 589824 _________________________ / 16384 \/ 65536 589824 _________________________
/ / / ________ / / ________
/ / / 2401 2401*\/ 344145 / / 2401 2401*\/ 344145
/ / 96*3 / ----- + --------------- / 96*3 / ----- + ---------------
769 \/ \/ \/ 65536 589824 \/ \/ 65536 589824
- --- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ----------------------------------------------------------------------------------------
256 2 2
$$- \frac{769}{256} - \frac{\sqrt{- \frac{343}{96 \sqrt[3]{\frac{2401}{65536} + \frac{2401 \sqrt{344145}}{589824}}} + \frac{3585}{16384} + 2 \sqrt[3]{\frac{2401}{65536} + \frac{2401 \sqrt{344145}}{589824}}}}{2} + \frac{\sqrt{- 2 \sqrt[3]{\frac{2401}{65536} + \frac{2401 \sqrt{344145}}{589824}} + \frac{3585}{8192} + \frac{343}{96 \sqrt[3]{\frac{2401}{65536} + \frac{2401 \sqrt{344145}}{589824}}} + \frac{4822273}{1048576 \sqrt{- \frac{343}{96 \sqrt[3]{\frac{2401}{65536} + \frac{2401 \sqrt{344145}}{589824}}} + \frac{3585}{16384} + 2 \sqrt[3]{\frac{2401}{65536} + \frac{2401 \sqrt{344145}}{589824}}}}}}{2}$$
producto
________________________________________________________________________________________________________________________________________________________________________________
/ _________________________
/ / ________
/ 3585 / 2401 2401*\/ 344145 343 4822273
/ ---- - 2*3 / ----- + --------------- + --------------------------------- + ------------------------------------------------------------------------------------------------
/ 8192 \/ 65536 589824 _________________________ ______________________________________________________________________________ ______________________________________________________________________________
/ / ________ / _________________________ / _________________________
/ / 2401 2401*\/ 344145 / / ________ / / ________
/ 96*3 / ----- + --------------- / 3585 / 2401 2401*\/ 344145 343 / 3585 / 2401 2401*\/ 344145 343
/ \/ 65536 589824 1048576* / ----- + 2*3 / ----- + --------------- - --------------------------------- / ----- + 2*3 / ----- + --------------- - ---------------------------------
/ / 16384 \/ 65536 589824 _________________________ / 16384 \/ 65536 589824 _________________________
/ / / ________ / / ________
/ / / 2401 2401*\/ 344145 / / 2401 2401*\/ 344145
/ / 96*3 / ----- + --------------- / 96*3 / ----- + ---------------
769 \/ \/ \/ 65536 589824 \/ \/ 65536 589824
- --- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ----------------------------------------------------------------------------------------
256 2 2
$$- \frac{769}{256} - \frac{\sqrt{- \frac{343}{96 \sqrt[3]{\frac{2401}{65536} + \frac{2401 \sqrt{344145}}{589824}}} + \frac{3585}{16384} + 2 \sqrt[3]{\frac{2401}{65536} + \frac{2401 \sqrt{344145}}{589824}}}}{2} + \frac{\sqrt{- 2 \sqrt[3]{\frac{2401}{65536} + \frac{2401 \sqrt{344145}}{589824}} + \frac{3585}{8192} + \frac{343}{96 \sqrt[3]{\frac{2401}{65536} + \frac{2401 \sqrt{344145}}{589824}}} + \frac{4822273}{1048576 \sqrt{- \frac{343}{96 \sqrt[3]{\frac{2401}{65536} + \frac{2401 \sqrt{344145}}{589824}}} + \frac{3585}{16384} + 2 \sqrt[3]{\frac{2401}{65536} + \frac{2401 \sqrt{344145}}{589824}}}}}}{2}$$
=
________________________________________________________________________________________________________________________________________________________________________________
/ _________________________
/ / ________
/ 3585 / 2401 2401*\/ 344145 343 4822273
/ ---- - 2*3 / ----- + --------------- + --------------------------------- + ------------------------------------------------------------------------------------------------
/ 8192 \/ 65536 589824 _________________________ ______________________________________________________________________________ ______________________________________________________________________________
/ / ________ / _________________________ / _________________________
/ / 2401 2401*\/ 344145 / / ________ / / ________
/ 96*3 / ----- + --------------- / 3585 / 2401 2401*\/ 344145 343 / 3585 / 2401 2401*\/ 344145 343
/ \/ 65536 589824 1048576* / ----- + 2*3 / ----- + --------------- - --------------------------------- / ----- + 2*3 / ----- + --------------- - ---------------------------------
/ / 16384 \/ 65536 589824 _________________________ / 16384 \/ 65536 589824 _________________________
/ / / ________ / / ________
/ / / 2401 2401*\/ 344145 / / 2401 2401*\/ 344145
/ / 96*3 / ----- + --------------- / 96*3 / ----- + ---------------
769 \/ \/ \/ 65536 589824 \/ \/ 65536 589824
- --- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ----------------------------------------------------------------------------------------
256 2 2
$$- \frac{769}{256} - \frac{\sqrt{- \frac{343}{96 \sqrt[3]{\frac{2401}{65536} + \frac{2401 \sqrt{344145}}{589824}}} + \frac{3585}{16384} + 2 \sqrt[3]{\frac{2401}{65536} + \frac{2401 \sqrt{344145}}{589824}}}}{2} + \frac{\sqrt{- 2 \sqrt[3]{\frac{2401}{65536} + \frac{2401 \sqrt{344145}}{589824}} + \frac{3585}{8192} + \frac{343}{96 \sqrt[3]{\frac{2401}{65536} + \frac{2401 \sqrt{344145}}{589824}}} + \frac{4822273}{1048576 \sqrt{- \frac{343}{96 \sqrt[3]{\frac{2401}{65536} + \frac{2401 \sqrt{344145}}{589824}}} + \frac{3585}{16384} + 2 \sqrt[3]{\frac{2401}{65536} + \frac{2401 \sqrt{344145}}{589824}}}}}}{2}$$
-769/256 + sqrt(3585/8192 - 2*(2401/65536 + 2401*sqrt(344145)/589824)^(1/3) + 343/(96*(2401/65536 + 2401*sqrt(344145)/589824)^(1/3)) + 4822273/(1048576*sqrt(3585/16384 + 2*(2401/65536 + 2401*sqrt(344145)/589824)^(1/3) - 343/(96*(2401/65536 + 2401*sqrt(344145)/589824)^(1/3)))))/2 - sqrt(3585/16384 + 2*(2401/65536 + 2401*sqrt(344145)/589824)^(1/3) - 343/(96*(2401/65536 + 2401*sqrt(344145)/589824)^(1/3)))/2