Sr Examen

Otras calculadoras

(-3(-13+x)e^(27-2x)+2e^(27-2x))(-9)/(sqrt(81+x^2))+(-2(-13+x)e^(27-2x)+e^(27-2x))(x)/(sqrt(81+x^2))=0 la ecuación

El profesor se sorprenderá mucho al ver tu solución correcta😉

v

Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
/              27 - 2*x      27 - 2*x\        /              27 - 2*x    27 - 2*x\      
\-3*(-13 + x)*E         + 2*E        /*(-9)   \-2*(-13 + x)*E         + E        /*x    
------------------------------------------- + -------------------------------------- = 0
                   _________                                  _________                 
                  /       2                                  /       2                  
                \/  81 + x                                 \/  81 + x                   
$$\frac{x \left(e^{27 - 2 x} \left(- 2 \left(x - 13\right)\right) + e^{27 - 2 x}\right)}{\sqrt{x^{2} + 81}} + \frac{\left(-9\right) \left(e^{27 - 2 x} \left(- 3 \left(x - 13\right)\right) + 2 e^{27 - 2 x}\right)}{\sqrt{x^{2} + 81}} = 0$$
Gráfica
Suma y producto de raíces [src]
suma
27   3*I   27   3*I
-- - --- + -- + ---
2     2    2     2 
$$\left(\frac{27}{2} - \frac{3 i}{2}\right) + \left(\frac{27}{2} + \frac{3 i}{2}\right)$$
=
27
$$27$$
producto
/27   3*I\ /27   3*I\
|-- - ---|*|-- + ---|
\2     2 / \2     2 /
$$\left(\frac{27}{2} - \frac{3 i}{2}\right) \left(\frac{27}{2} + \frac{3 i}{2}\right)$$
=
369/2
$$\frac{369}{2}$$
369/2
Respuesta rápida [src]
     27   3*I
x1 = -- - ---
     2     2 
$$x_{1} = \frac{27}{2} - \frac{3 i}{2}$$
     27   3*I
x2 = -- + ---
     2     2 
$$x_{2} = \frac{27}{2} + \frac{3 i}{2}$$
x2 = 27/2 + 3*i/2
Respuesta numérica [src]
x1 = 29.6977936965605
x2 = 110.740826787564
x3 = 102.747868847838
x4 = 92.7590695087506
x5 = 60.8376113423503
x6 = 94.7565670349639
x7 = 64.8209175976517
x8 = 74.7908079501553
x9 = 78.781898140193
x10 = 42.9980157570436
x11 = 31.4710739937772
x12 = 66.8137508074505
x13 = 80.7779257998324
x14 = 88.7645545614012
x15 = 41.0355053159974
x16 = 68.8072323733224
x17 = 48.919672599541
x18 = 56.8583851385804
x19 = 70.8012800464963
x20 = 54.8707808751849
x21 = 108.742458182059
x22 = 76.7861799600785
x23 = 33.3223731987807
x24 = 37.14095873644
x25 = 46.9414603209354
x26 = 44.967198326769
x27 = 35.2179775824888
x28 = 72.7958247242404
x29 = 82.774231186885
x30 = 50.9010133420751
x31 = 86.7675682002835
x32 = 100.749867497982
x33 = 90.761727151082
x34 = 52.8848708408449
x35 = 98.7519770202177
x36 = 104.7459726759
x37 = 84.770786691909
x38 = 96.7542067379548
x39 = 106.744171405741
x40 = 62.8288313688722
x41 = 39.0819849956825
x42 = 58.8474029156573
x42 = 58.8474029156573