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- La ecuación:
- Ecuación x^2-49=0
-
Ecuación 1-x/2=x/3
-
Ecuación 3*x^2-9=0
-
Ecuación -8x-17=3x-105
- 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
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Expresiones idénticas
- (- tres *cos(x)+cos(tres *x))/(dos *sin(x)^ dos)= cero
- ( menos 3 multiplicar por coseno de (x) más coseno de (3 multiplicar por x)) dividir por (2 multiplicar por seno de (x) al cuadrado ) es igual a 0
- ( menos tres multiplicar por coseno de (x) más coseno de (tres multiplicar por x)) dividir por (dos multiplicar por seno de (x) en el grado dos) es igual a cero
- (-3*cos(x)+cos(3*x))/(2*sin(x)2)=0
- -3*cosx+cos3*x/2*sinx2=0
- (-3*cos(x)+cos(3*x))/(2*sin(x)²)=0
- (-3*cos(x)+cos(3*x))/(2*sin(x) en el grado 2)=0
- (-3cos(x)+cos(3x))/(2sin(x)^2)=0
- (-3cos(x)+cos(3x))/(2sin(x)2)=0
- -3cosx+cos3x/2sinx2=0
- -3cosx+cos3x/2sinx^2=0
- (-3*cos(x)+cos(3*x))/(2*sin(x)^2)=O
- (-3*cos(x)+cos(3*x)) dividir por (2*sin(x)^2)=0
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Expresiones semejantes
- (-3*cos(x)-cos(3*x))/(2*sin(x)^2)=0
- (3*cos(x)+cos(3*x))/(2*sin(x)^2)=0
- (-3*cosx+cos(3*x))/(2*sinx^2)=0
-
Expresiones con funciones
- Coseno cos
- cos(x)=-x+pi/2
- cos(x^2)=1
- cos(x)=1
- cos^2(x)=-1
- cos((pi*(8*x+1)/6))=sqrt(3)/2
- Coseno cos
- cos(x)=-x+pi/2
- cos(x^2)=1
- cos(x)=1
- cos^2(x)=-1
- cos((pi*(8*x+1)/6))=sqrt(3)/2
- Seno sin
- sin(2x)=0
- sin(x)=a
- sin(x)^2=1/2
- sin(3*x)+sin(x)=0
- sin((pi*x)/4)=-1
(-3*cos(x)+cos(3*x))/(2*sin(x)^2)=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
-3*cos(x) + cos(3*x)
-------------------- = 0
2
2*sin (x)
$$\frac{- 3 \cos{\left(x \right)} + \cos{\left(3 x \right)}}{2 \sin^{2}{\left(x \right)}} = 0$$
Suma y producto de raíces
[src]
suma
/ ___\ / ___\ / ___\ / ___\ pi pi I*log\2 - \/ 3 / I*log\2 + \/ 3 / I*log\2 - \/ 3 / I*log\2 + \/ 3 / - -- + -- - ---------------- - ---------------- + pi - ---------------- + pi - ---------------- 2 2 2 2 2 2
$$\left(\pi - \frac{i \log{\left(\sqrt{3} + 2 \right)}}{2}\right) + \left(\left(- \frac{i \log{\left(\sqrt{3} + 2 \right)}}{2} + \left(\left(- \frac{\pi}{2} + \frac{\pi}{2}\right) - \frac{i \log{\left(2 - \sqrt{3} \right)}}{2}\right)\right) + \left(\pi - \frac{i \log{\left(2 - \sqrt{3} \right)}}{2}\right)\right)$$
=
/ ___\ / ___\ 2*pi - I*log\2 + \/ 3 / - I*log\2 - \/ 3 /
$$2 \pi - i \log{\left(\sqrt{3} + 2 \right)} - i \log{\left(2 - \sqrt{3} \right)}$$
producto
/ ___\ / ___\ / / ___\\ / / ___\\ -pi pi -I*log\2 - \/ 3 / -I*log\2 + \/ 3 / | I*log\2 - \/ 3 /| | I*log\2 + \/ 3 /| ----*--*------------------*------------------*|pi - ----------------|*|pi - ----------------| 2 2 2 2 \ 2 / \ 2 /
$$- \frac{i \log{\left(\sqrt{3} + 2 \right)}}{2} \cdot - \frac{i \log{\left(2 - \sqrt{3} \right)}}{2} \cdot - \frac{\pi}{2} \frac{\pi}{2} \left(\pi - \frac{i \log{\left(2 - \sqrt{3} \right)}}{2}\right) \left(\pi - \frac{i \log{\left(\sqrt{3} + 2 \right)}}{2}\right)$$
=
2 / / ___\\ / / ___\\ / ___\ / ___\
pi *\2*pi - I*log\2 + \/ 3 //*\2*pi - I*log\2 - \/ 3 //*log\2 + \/ 3 /*log\2 - \/ 3 /
-------------------------------------------------------------------------------------
64
$$\frac{\pi^{2} \left(2 \pi - i \log{\left(2 - \sqrt{3} \right)}\right) \left(2 \pi - i \log{\left(\sqrt{3} + 2 \right)}\right) \log{\left(2 - \sqrt{3} \right)} \log{\left(\sqrt{3} + 2 \right)}}{64}$$
pi^2*(2*pi - i*log(2 + sqrt(3)))*(2*pi - i*log(2 - sqrt(3)))*log(2 + sqrt(3))*log(2 - sqrt(3))/64
Respuesta rápida
[src]
-pi
x1 = ----
2
$$x_{1} = - \frac{\pi}{2}$$
pi
x2 = --
2
$$x_{2} = \frac{\pi}{2}$$
/ ___\
-I*log\2 - \/ 3 /
x3 = ------------------
2
$$x_{3} = - \frac{i \log{\left(2 - \sqrt{3} \right)}}{2}$$
/ ___\
-I*log\2 + \/ 3 /
x4 = ------------------
2
$$x_{4} = - \frac{i \log{\left(\sqrt{3} + 2 \right)}}{2}$$
/ ___\
I*log\2 - \/ 3 /
x5 = pi - ----------------
2
$$x_{5} = \pi - \frac{i \log{\left(2 - \sqrt{3} \right)}}{2}$$
/ ___\
I*log\2 + \/ 3 /
x6 = pi - ----------------
2
$$x_{6} = \pi - \frac{i \log{\left(\sqrt{3} + 2 \right)}}{2}$$
x6 = pi - i*log(sqrt(3) + 2)/2
Respuesta numérica
[src]
x1 = 42.4115008234622
x2 = 54.9778714378214
x3 = -86.3937979737193
x4 = -98.9601685880785
x5 = 29.845130209103
x6 = -42.4115008234622
x7 = 89.5353906273091
x8 = -95.8185759344887
x9 = -64.4026493985908
x10 = 14.1371669411541
x11 = -17.2787595947439
x12 = 48.6946861306418
x13 = -48.6946861306418
x14 = -67.5442420521806
x15 = -32.9867228626928
x16 = -80.1106126665397
x17 = 83.2522053201295
x18 = 1.5707963267949
x19 = 10.9955742875643
x20 = -7.85398163397448
x21 = -76.9690200129499
x22 = 98.9601685880785
x23 = -4.71238898038469
x24 = 36.1283155162826
x25 = 20.4203522483337
x26 = 23.5619449019235
x27 = 51.8362787842316
x28 = -45.553093477052
x29 = 45.553093477052
x30 = -1.5707963267949
x31 = -10.9955742875643
x32 = 26.7035375555132
x33 = 67.5442420521806
x34 = 92.6769832808989
x35 = -58.1194640914112
x36 = 73.8274273593601
x37 = -39.2699081698724
x38 = 95.8185759344887
x39 = -23.5619449019235
x40 = -70.6858347057703
x41 = 80.1106126665397
x42 = 58.1194640914112
x43 = -14.1371669411541
x44 = 32.9867228626928
x45 = -83.2522053201295
x46 = 7.85398163397448
x47 = -89.5353906273091
x48 = -29.845130209103
x49 = 76.9690200129499
x50 = 86.3937979737193
x51 = 70.6858347057703
x52 = -26.7035375555132
x53 = -36.1283155162826
x54 = -92.6769832808989
x55 = -51.8362787842316
x56 = -73.8274273593601
x57 = 17.2787595947439
x58 = 64.4026493985908
x59 = -20.4203522483337
x60 = 4.71238898038469
x61 = -54.9778714378214
x62 = 39.2699081698724
x63 = -61.261056745001
x64 = 61.261056745001
x64 = 61.261056745001