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- La ecuación:
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Ecuación x^4+2*x^2-8=0
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Ecuación x*(x^2+8*x+16)=5*(x+4)
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Ecuación -25-x=-17
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Ecuación x^2+3x=4
- Expresar {x} en función de y en la ecuación:
- -18*x-2*y=9
- -14*x+10*y=19
- -9*x+1*y=3
- -17*x+1*y=-11
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Expresiones idénticas
- 2sin(z) seis +5cos(z)=sqrt(veintinueve)
- 2 seno de (z)6 más 5 coseno de (z) es igual a raíz cuadrada de (29)
- 2 seno de (z) seis más 5 coseno de (z) es igual a raíz cuadrada de (veintinueve)
- 2sin(z)6+5cos(z)=√(29)
- 2sinz6+5cosz=sqrt29
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Expresiones semejantes
- 2sin(z)6-5cos(z)=sqrt(29)
- 10*sin(x)-14*cos(x)=sqrt(296)
- e^(-2arctg(k*(6.63*10^-34))/(sqrt(2*9.1*10^-31*(0.2-E))))=e^(2arctg(k*(6.63*10^-34))/(sqrt(2*9.1*10^-31*(0.2-E))))*e^(2*i*k*d)
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Expresiones con funciones
- Raíz cuadrada sqrt
- sqrt(2*x+3)=x
- sqrt(-72+17*x)=x
- sqrt(6+x-x^2)=1-x
- sqrt(cos(x)-1)=0
- sqrt(x+3)=x+3
2sin(z)6+5cos(z)=sqrt(29) la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
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____ 2*sin(z)*6 + 5*cos(z) = \/ 29
$$6 \cdot 2 \sin{\left(z \right)} + 5 \cos{\left(z \right)} = \sqrt{29}$$
Suma y producto de raíces
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suma
/ ______ ____\ / ______ ____\
| ____ \/ 1015 5*\/ 35 | | \/ 1015 ____ 5*\/ 35 |
- 2*atan|15 - 3*\/ 29 - -------- + --------| - 2*atan|15 + -------- - 3*\/ 29 - --------|
\ 2 2 / \ 2 2 /
$$- 2 \operatorname{atan}{\left(- 3 \sqrt{29} - \frac{5 \sqrt{35}}{2} + 15 + \frac{\sqrt{1015}}{2} \right)} - 2 \operatorname{atan}{\left(- 3 \sqrt{29} - \frac{\sqrt{1015}}{2} + \frac{5 \sqrt{35}}{2} + 15 \right)}$$
=
/ ______ ____\ / ______ ____\
| \/ 1015 ____ 5*\/ 35 | | ____ \/ 1015 5*\/ 35 |
- 2*atan|15 + -------- - 3*\/ 29 - --------| - 2*atan|15 - 3*\/ 29 - -------- + --------|
\ 2 2 / \ 2 2 /
$$- 2 \operatorname{atan}{\left(- 3 \sqrt{29} - \frac{5 \sqrt{35}}{2} + 15 + \frac{\sqrt{1015}}{2} \right)} - 2 \operatorname{atan}{\left(- 3 \sqrt{29} - \frac{\sqrt{1015}}{2} + \frac{5 \sqrt{35}}{2} + 15 \right)}$$
producto
/ ______ ____\ / ______ ____\
| ____ \/ 1015 5*\/ 35 | | \/ 1015 ____ 5*\/ 35 |
-2*atan|15 - 3*\/ 29 - -------- + --------|*-2*atan|15 + -------- - 3*\/ 29 - --------|
\ 2 2 / \ 2 2 /
$$- 2 \operatorname{atan}{\left(- 3 \sqrt{29} - \frac{\sqrt{1015}}{2} + \frac{5 \sqrt{35}}{2} + 15 \right)} \left(- 2 \operatorname{atan}{\left(- 3 \sqrt{29} - \frac{5 \sqrt{35}}{2} + 15 + \frac{\sqrt{1015}}{2} \right)}\right)$$
=
/ ______ ____\ / ______ ____\
| \/ 1015 ____ 5*\/ 35 | | ____ \/ 1015 5*\/ 35 |
4*atan|15 + -------- - 3*\/ 29 - --------|*atan|15 - 3*\/ 29 - -------- + --------|
\ 2 2 / \ 2 2 /
$$4 \operatorname{atan}{\left(- 3 \sqrt{29} - \frac{\sqrt{1015}}{2} + \frac{5 \sqrt{35}}{2} + 15 \right)} \operatorname{atan}{\left(- 3 \sqrt{29} - \frac{5 \sqrt{35}}{2} + 15 + \frac{\sqrt{1015}}{2} \right)}$$
4*atan(15 + sqrt(1015)/2 - 3*sqrt(29) - 5*sqrt(35)/2)*atan(15 - 3*sqrt(29) - sqrt(1015)/2 + 5*sqrt(35)/2)
Respuesta rápida
[src]
/ ______ ____\
| ____ \/ 1015 5*\/ 35 |
z1 = -2*atan|15 - 3*\/ 29 - -------- + --------|
\ 2 2 /
$$z_{1} = - 2 \operatorname{atan}{\left(- 3 \sqrt{29} - \frac{\sqrt{1015}}{2} + \frac{5 \sqrt{35}}{2} + 15 \right)}$$
/ ______ ____\
| \/ 1015 ____ 5*\/ 35 |
z2 = -2*atan|15 + -------- - 3*\/ 29 - --------|
\ 2 2 /
$$z_{2} = - 2 \operatorname{atan}{\left(- 3 \sqrt{29} - \frac{5 \sqrt{35}}{2} + 15 + \frac{\sqrt{1015}}{2} \right)}$$
z2 = -2*atan(-3*sqrt(29) - 5*sqrt(35)/2 + 15 + sqrt(1015)/2)
Respuesta numérica
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z1 = 115.417025643047
z2 = -75.3659033857789
z3 = 100.56328521525
z4 = -60.5121629579818
z5 = 106.846470522429
z6 = 8.6028754209937
z7 = 18.8818762219149
z8 = -100.498644614497
z9 = 2100.9035827118
z10 = 81.7137292937108
z11 = -50.2331621570605
z12 = -25.1004209283422
z13 = -37.6667915427014
z14 = 6.31550560755574
z15 = 31.4482468362741
z16 = 71.4347284927896
z17 = -3.96349519336547
z18 = -87.9322740001381
z19 = 56.5809880649924
z20 = -43.949976849881
z21 = 52.5851725712508
z22 = 69.1473586793516
z23 = 58.8683578784304
z24 = -73.0785335723409
z25 = -29.0962364220838
z26 = -18.8172356211626
z27 = 96.5674697215079
z28 = -91.9280894938797
z29 = 77.7179137999692
z30 = 14.8860607281733
z31 = 40.0188019568916
z32 = 62.864173372172
z33 = 12.5986909147353
z34 = -41.662607036443
z35 = -47.9457923436226
z36 = -69.0827180785993
z37 = 31939.7506065077
z38 = 0.0323203003761537
z39 = -56.5163474642401
z40 = -22.8130511149042
z41 = 50.2978027578128
z42 = 37.7314321434537
z43 = -10.2466805005451
z44 = -35.3794217292634
z45 = 84.0010991071487
z46 = -62.7995327714197
z47 = -81.6490886929585
z48 = 90.2842844143283
z49 = -54.2289776508022
z50 = 21.1692460353529
z51 = -98.2112748010593
z52 = 33.735616649712
z53 = 44.0146174506333
z54 = -85.6449041867001
z55 = 87.9969146008904
z56 = 75.4305439865312
z57 = -31.3836062355218
z58 = -66.7953482651613
z59 = -12.534050313983
z60 = -94.2154593073176
z61 = 272.496658322536
z62 = 94.28009990807
z63 = 65.15154318561
z64 = -16.5298658077246
z65 = 2.31969011381412
z66 = -6.25086500680343
z67 = -79.3617188795205
z68 = 46.3019872640712
z69 = 25.1650615290945
z70 = 27.4524313425325
z70 = 27.4524313425325