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Ecuación 4*(x)^2-14*x+(13/4)=0
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Ecuación x^3=4
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Ecuación 34x-2=66
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Ecuación x/5+x=-12/5
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- -1*x+4*y=-10
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- 9*x-1*y=17
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Expresiones idénticas
- (2log tres *2log tres)*(8sinx−√3)−7log3*(8sinx−√3)+ seis = cero
- (2 logaritmo de 3 multiplicar por 2 logaritmo de 3) multiplicar por (8 seno de x−√3)−7 logaritmo de 3 multiplicar por (8 seno de x−√3) más 6 es igual a 0
- (2 logaritmo de tres multiplicar por 2 logaritmo de tres) multiplicar por (8 seno de x−√3)−7 logaritmo de 3 multiplicar por (8 seno de x−√3) más seis es igual a cero
- (2log32log3)(8sinx−√3)−7log3(8sinx−√3)+6=0
- 2log32log38sinx−√3−7log38sinx−√3+6=0
- (2log3*2log3)*(8sinx−√3)−7log3*(8sinx−√3)+6=O
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Expresiones semejantes
- (2log3*2log3)*(8sinx−√3)−7log3*(8sinx−√3)-6=0
(2log3*2log3)*(8sinx−√3)−7log3*(8sinx−√3)+6=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
/ ___\ / ___\ 2*log(3)*2*log(3)*\8*sin(x) - \/ 3 / - 7*log(3)*\8*sin(x) - \/ 3 / + 6 = 0
$$\left(- \left(8 \sin{\left(x \right)} - \sqrt{3}\right) 7 \log{\left(3 \right)} + 2 \cdot 2 \log{\left(3 \right)} \log{\left(3 \right)} \left(8 \sin{\left(x \right)} - \sqrt{3}\right)\right) + 6 = 0$$
Respuesta rápida
[src]
/ / ___\\
| ___ 2 | 7*\/ 3 ||
|6 - 4*\/ 3 *log (3) + log\3 /|
x1 = pi - asin|-----------------------------------|
\ 8*(7 - log(81))*log(3) /
$$x_{1} = \pi - \operatorname{asin}{\left(\frac{- 4 \sqrt{3} \log{\left(3 \right)}^{2} + 6 + \log{\left(3^{7 \sqrt{3}} \right)}}{8 \left(7 - \log{\left(81 \right)}\right) \log{\left(3 \right)}} \right)}$$
/ / ___\\
| ___ 2 | 7*\/ 3 ||
|6 - 4*\/ 3 *log (3) + log\3 /|
x2 = asin|-----------------------------------|
\ 8*(7 - log(81))*log(3) /
$$x_{2} = \operatorname{asin}{\left(\frac{- 4 \sqrt{3} \log{\left(3 \right)}^{2} + 6 + \log{\left(3^{7 \sqrt{3}} \right)}}{8 \left(7 - \log{\left(81 \right)}\right) \log{\left(3 \right)}} \right)}$$
x2 = asin((-4*sqrt(3)*log(3)^2 + 6 + log(3^(7*sqrt(3))))/(8*(7 - log(81))*log(3)))
Suma y producto de raíces
[src]
suma
/ / ___\\ / / ___\\
| ___ 2 | 7*\/ 3 || | ___ 2 | 7*\/ 3 ||
|6 - 4*\/ 3 *log (3) + log\3 /| |6 - 4*\/ 3 *log (3) + log\3 /|
pi - asin|-----------------------------------| + asin|-----------------------------------|
\ 8*(7 - log(81))*log(3) / \ 8*(7 - log(81))*log(3) /
$$\operatorname{asin}{\left(\frac{- 4 \sqrt{3} \log{\left(3 \right)}^{2} + 6 + \log{\left(3^{7 \sqrt{3}} \right)}}{8 \left(7 - \log{\left(81 \right)}\right) \log{\left(3 \right)}} \right)} + \left(\pi - \operatorname{asin}{\left(\frac{- 4 \sqrt{3} \log{\left(3 \right)}^{2} + 6 + \log{\left(3^{7 \sqrt{3}} \right)}}{8 \left(7 - \log{\left(81 \right)}\right) \log{\left(3 \right)}} \right)}\right)$$
=
pi
$$\pi$$
producto
/ / / ___\\\ / / ___\\ | | ___ 2 | 7*\/ 3 ||| | ___ 2 | 7*\/ 3 || | |6 - 4*\/ 3 *log (3) + log\3 /|| |6 - 4*\/ 3 *log (3) + log\3 /| |pi - asin|-----------------------------------||*asin|-----------------------------------| \ \ 8*(7 - log(81))*log(3) // \ 8*(7 - log(81))*log(3) /
$$\left(\pi - \operatorname{asin}{\left(\frac{- 4 \sqrt{3} \log{\left(3 \right)}^{2} + 6 + \log{\left(3^{7 \sqrt{3}} \right)}}{8 \left(7 - \log{\left(81 \right)}\right) \log{\left(3 \right)}} \right)}\right) \operatorname{asin}{\left(\frac{- 4 \sqrt{3} \log{\left(3 \right)}^{2} + 6 + \log{\left(3^{7 \sqrt{3}} \right)}}{8 \left(7 - \log{\left(81 \right)}\right) \log{\left(3 \right)}} \right)}$$
=
/ / / ___\\\ / / ___\\ | | ___ 2 | \/ 3 ||| | ___ 2 | \/ 3 || | |6 - 4*\/ 3 *log (3) + log\2187 /|| |6 - 4*\/ 3 *log (3) + log\2187 /| |pi - asin|------------------------------------||*asin|------------------------------------| \ \ 8*(7 - log(81))*log(3) // \ 8*(7 - log(81))*log(3) /
$$\left(\pi - \operatorname{asin}{\left(\frac{- 4 \sqrt{3} \log{\left(3 \right)}^{2} + 6 + \log{\left(2187^{\sqrt{3}} \right)}}{8 \left(7 - \log{\left(81 \right)}\right) \log{\left(3 \right)}} \right)}\right) \operatorname{asin}{\left(\frac{- 4 \sqrt{3} \log{\left(3 \right)}^{2} + 6 + \log{\left(2187^{\sqrt{3}} \right)}}{8 \left(7 - \log{\left(81 \right)}\right) \log{\left(3 \right)}} \right)}$$
(pi - asin((6 - 4*sqrt(3)*log(3)^2 + log(2187^(sqrt(3))))/(8*(7 - log(81))*log(3))))*asin((6 - 4*sqrt(3)*log(3)^2 + log(2187^(sqrt(3))))/(8*(7 - log(81))*log(3)))
Respuesta numérica
[src]
x1 = -53.9060389717428
x2 = 109.456779014926
x3 = 46.6249259431306
x4 = 40.341740635951
x5 = 57.0476316253326
x6 = 21.4921847144123
x7 = 6.78214916789587
x8 = 90.6072230933877
x9 = 2.64262879287351
x10 = -81.1824451326183
x11 = 15.2089994072327
x12 = -87.4656304397979
x13 = 50.764446318153
x14 = 207.844078997643
x15 = -5.78422144646331
x16 = 69.6140022396917
x17 = 75.8971875468713
x18 = -43.4833332895408
x19 = 59.1912965574898
x20 = -24.6337773680021
x21 = 25.6317050894346
x22 = 38.1980757037938
x23 = -60.1892242789224
x24 = -68.6160745182592
x25 = -35.056483050204
x26 = -49.7665185967204
x27 = -30.9169626751817
x28 = -864.436943597909
x29 = -62.3328892110796
x30 = 63.3308169325121
x31 = -204.702486344053
x32 = 101.02992877559
x33 = -97.8883361219999
x34 = -41.3396683573836
x35 = 84.3240377862081
x36 = 82.1803728540509
x37 = 34.0585553287714
x38 = 78.0408524790285
x39 = 13.0653344750755
x40 = -93.7488157469775
x41 = 31.9148903966142
x42 = -12.0674067536429
x43 = -37.2001479823612
x44 = 132.445855311488
x45 = -91.6051508148203
x46 = -74.8992598254388
x47 = 94.7467434684101
x48 = -28.7732977430244
x49 = -16.2069271286652
x50 = 27.7753700215919
x51 = 65.4744818646694
x52 = -79.0387802004611
x53 = -56.0497039039
x54 = 52.9081112503102
x55 = -47.6228536645632
x56 = -198.419301036873
x57 = -72.7555948932815
x58 = -3.64055651430608
x59 = 0.498963860716282
x60 = 19.348519782255
x61 = -66.4724095861019
x62 = 96.8904084005673
x63 = -22.4901124358448
x64 = -18.3505920608225
x65 = -9.92374182148566
x66 = 88.4635581612305
x67 = -100.032001054157
x68 = 71.757667171849
x69 = -85.3219655076407
x70 = 8.9258141000531
x71 = 44.4812610109734
x71 = 44.4812610109734