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- La ecuación:
-
Ecuación x/3+x/4=-21
-
Ecuación 3^x=4
-
Ecuación 3*x^2=18*x
-
Ecuación x^4-8*x^2+7=0
- Expresar {x} en función de y en la ecuación:
- 11*x-12*y=11
- 8*x-13*y=-12
- 19*x-2*y=-17
- -16*x-12*y=12
-
Expresiones idénticas
- -log(cos(x))+cos(x)= cero
- menos logaritmo de ( coseno de (x)) más coseno de (x) es igual a 0
- menos logaritmo de ( coseno de (x)) más coseno de (x) es igual a cero
- -logcosx+cosx=0
- -log(cos(x))+cos(x)=O
-
Expresiones semejantes
- log(cos(x))+cos(x)=0
- -log(cos(x))-cos(x)=0
- -log(cosx)+cosx=0
-
Expresiones con funciones
- Logaritmo log
- log(c)=0
- Log[2,34-2^x]=2-Sqrt[x-4]=0
- log(z)=log(20^(1/2))+(-atan((2)+2*pi*m))*i
- log2x-5log2x=0
- log(x)=x+45*gamma(x)
- Coseno cos
- cos2x=sin(x+(π/2))
- cos(2pi×x)-3sin(pi×x)+1=0
- cos(x)*x*sin(x)=0
- cos(x+(|x|))=1
- cos(x-3/4)=0
- Coseno cos
- cos2x=sin(x+(π/2))
- cos(2pi×x)-3sin(pi×x)+1=0
- cos(x)*x*sin(x)=0
- cos(x+(|x|))=1
- cos(x-3/4)=0
-log(cos(x))+cos(x)=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
-log(cos(x)) + cos(x) = 0
$$- \log{\left(\cos{\left(x \right)} \right)} + \cos{\left(x \right)} = 0$$
Respuesta rápida
[src]
x1 = I*im(acos(-W(-1))) + re(acos(-W(-1)))
$$x_{1} = \operatorname{re}{\left(\operatorname{acos}{\left(- W\left(-1\right) \right)}\right)} + i \operatorname{im}{\left(\operatorname{acos}{\left(- W\left(-1\right) \right)}\right)}$$
x1 = re(acos(-LambertW(-1))) + i*im(acos(-LambertW(-1)))
Suma y producto de raíces
[src]
suma
I*im(acos(-W(-1))) + re(acos(-W(-1)))
$$\operatorname{re}{\left(\operatorname{acos}{\left(- W\left(-1\right) \right)}\right)} + i \operatorname{im}{\left(\operatorname{acos}{\left(- W\left(-1\right) \right)}\right)}$$
=
I*im(acos(-W(-1))) + re(acos(-W(-1)))
$$\operatorname{re}{\left(\operatorname{acos}{\left(- W\left(-1\right) \right)}\right)} + i \operatorname{im}{\left(\operatorname{acos}{\left(- W\left(-1\right) \right)}\right)}$$
producto
I*im(acos(-W(-1))) + re(acos(-W(-1)))
$$\operatorname{re}{\left(\operatorname{acos}{\left(- W\left(-1\right) \right)}\right)} + i \operatorname{im}{\left(\operatorname{acos}{\left(- W\left(-1\right) \right)}\right)}$$
=
I*im(acos(-W(-1))) + re(acos(-W(-1)))
$$\operatorname{re}{\left(\operatorname{acos}{\left(- W\left(-1\right) \right)}\right)} + i \operatorname{im}{\left(\operatorname{acos}{\left(- W\left(-1\right) \right)}\right)}$$
i*im(acos(-LambertW(-1))) + re(acos(-LambertW(-1)))
Respuesta numérica
[src]
x1 = -83.0627595958909 + 1.11545581343236*i
x2 = 55.16731716206 + 1.11545581343236*i
x3 = -86.5832436979579 - 1.11545581343236*i
x4 = 17.4682053189825 + 1.11545581343236*i
x5 = -80.3000583907783 - 1.11545581343236*i
x6 = 89.3459449030705 - 1.11545581343236*i
x7 = -11.1850200118029 - 1.11545581343236*i
x8 = -39.0804624456338 + 1.11545581343236*i
x9 = 45.3636477528134 - 1.11545581343236*i
x10 = -99.1496143123171 - 1.11545581343236*i
x11 = 48.8841318548804 + 1.11545581343236*i
x12 = -92.8664290051375 - 1.11545581343236*i
x13 = -23.7513906261621 - 1.11545581343236*i
x14 = 7.66453590973587 - 1.11545581343236*i
x15 = -4.9018347046233 - 1.11545581343236*i
x16 = 26.5140918312746 - 1.11545581343236*i
x17 = 32.7972771384542 - 1.11545581343236*i
x18 = 13.9477212169155 + 1.11545581343236*i
x19 = -61.4505024692396 + 1.11545581343236*i
x20 = 92.8664290051375 + 1.11545581343236*i
x21 = 64.2132036743521 + 1.11545581343236*i
x22 = 108.195500824609 - 1.11545581343236*i
x23 = 39.0804624456338 - 1.11545581343236*i
x24 = 51.646833059993 - 1.11545581343236*i
x25 = 61.4505024692396 + 1.11545581343236*i
x26 = -95.6291302102501 + 1.11545581343236*i
x27 = 76.7795742887113 - 1.11545581343236*i
x28 = -26.5140918312746 + 1.11545581343236*i
x29 = -55.16731716206 - 1.11545581343236*i
x30 = 20.230906524095 + 1.11545581343236*i
x31 = 20.230906524095 - 1.11545581343236*i
x32 = -48.8841318548804 - 1.11545581343236*i
x33 = -13.9477212169155 + 1.11545581343236*i
x34 = 13.9477212169155 - 1.11545581343236*i
x35 = -7.66453590973587 + 1.11545581343236*i
x36 = 99.1496143123171 + 1.11545581343236*i
x37 = -51.646833059993 + 1.11545581343236*i
x38 = -70.4963889815317 + 1.11545581343236*i
x39 = -30.0345759333416 - 1.11545581343236*i
x40 = -89.3459449030705 + 1.11545581343236*i
x41 = 95.6291302102501 - 1.11545581343236*i
x42 = -67.7336877764192 - 1.11545581343236*i
x43 = -45.3636477528134 + 1.11545581343236*i
x44 = 11.1850200118029 + 1.11545581343236*i
x45 = 4.9018347046233 + 1.11545581343236*i
x46 = -32.7972771384542 + 1.11545581343236*i
x47 = -74.0168730835988 - 1.11545581343236*i
x48 = 42.6009465477008 + 1.11545581343236*i
x49 = 36.3177612405212 + 1.11545581343236*i
x50 = 1.38135060255628 - 1.11545581343236*i
x51 = -76.7795742887113 + 1.11545581343236*i
x52 = -42.6009465477008 - 1.11545581343236*i
x53 = -1.38135060255628 + 1.11545581343236*i
x54 = 80.3000583907783 + 1.11545581343236*i
x55 = 83.0627595958909 - 1.11545581343236*i
x56 = 86.5832436979579 + 1.11545581343236*i
x57 = -17.4682053189825 - 1.11545581343236*i
x58 = -36.3177612405212 - 1.11545581343236*i
x59 = 57.9300183671726 - 1.11545581343236*i
x59 = 57.9300183671726 - 1.11545581343236*i