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- La ecuación:
-
Ecuación x=(x+1)/2
- Ecuación (x-6)(-5x-9)=0
-
Ecuación x^2-14*x+33=0
-
Ecuación x^2+6=5x
- Expresar {x} en función de y en la ecuación:
- -13*x-19*y=17
- -9*x-12*y=-19
- -17*x-12*y=-9
- -8*x+3*y=-4
-
Expresiones idénticas
- cos dos x+ dos (sqrt dos)sin((pi/2)+x)-2= cero
- coseno de 2x más 2( raíz cuadrada de 2) seno de (( número pi dividir por 2) más x) menos 2 es igual a 0
- coseno de dos x más dos ( raíz cuadrada de dos) seno de (( número pi dividir por 2) más x) menos 2 es igual a cero
- cos2x+2(√2)sin((pi/2)+x)-2=0
- cos2x+2sqrt2sinpi/2+x-2=0
- cos2x+2(sqrt2)sin((pi/2)+x)-2=O
- cos2x+2(sqrt2)sin((pi dividir por 2)+x)-2=0
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Expresiones semejantes
- cos2x+2(sqrt2)sin((pi/2)-x)-2=0
- cos2x-2(sqrt2)sin((pi/2)+x)-2=0
- cos2x+2(sqrt2)sin((pi/2)+x)+2=0
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Expresiones con funciones
- Seno sin
- sin(pi*x/6)=-1
- sin(x)=-sqrt(3)/2
- sin(x)=4/5
- sin(z)=-2
- sin(x)+cos(x)=0
cos2x+2(sqrt2)sin((pi/2)+x)-2=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
___ /pi \
cos(2*x) + 2*\/ 2 *sin|-- + x| - 2 = 0
\2 /
$$\left(2 \sqrt{2} \sin{\left(x + \frac{\pi}{2} \right)} + \cos{\left(2 x \right)}\right) - 2 = 0$$
Suma y producto de raíces
[src]
suma
pi pi / log(2) / ___\\ / log(2) / ___\\ - -- + -- + pi + I*|- ------ + log\3 + \/ 7 /| + pi + I*|- ------ + log\3 - \/ 7 /| 4 4 \ 2 / \ 2 /
$$\left(\pi + i \left(\log{\left(3 - \sqrt{7} \right)} - \frac{\log{\left(2 \right)}}{2}\right)\right) + \left(\left(- \frac{\pi}{4} + \frac{\pi}{4}\right) + \left(\pi + i \left(- \frac{\log{\left(2 \right)}}{2} + \log{\left(\sqrt{7} + 3 \right)}\right)\right)\right)$$
=
/ log(2) / ___\\ / log(2) / ___\\
2*pi + I*|- ------ + log\3 + \/ 7 /| + I*|- ------ + log\3 - \/ 7 /|
\ 2 / \ 2 /
$$2 \pi + i \left(\log{\left(3 - \sqrt{7} \right)} - \frac{\log{\left(2 \right)}}{2}\right) + i \left(- \frac{\log{\left(2 \right)}}{2} + \log{\left(\sqrt{7} + 3 \right)}\right)$$
producto
-pi pi / / log(2) / ___\\\ / / log(2) / ___\\\ ----*--*|pi + I*|- ------ + log\3 + \/ 7 /||*|pi + I*|- ------ + log\3 - \/ 7 /|| 4 4 \ \ 2 // \ \ 2 //
$$- \frac{\pi}{4} \frac{\pi}{4} \left(\pi + i \left(- \frac{\log{\left(2 \right)}}{2} + \log{\left(\sqrt{7} + 3 \right)}\right)\right) \left(\pi + i \left(\log{\left(3 - \sqrt{7} \right)} - \frac{\log{\left(2 \right)}}{2}\right)\right)$$
=
/ / 2\\ / / 2\\
| |/ ___\ || | |/ ___\ ||
2 | |\3 + \/ 7 / || | |\3 - \/ 7 / ||
-pi *|2*pi + I*log|------------||*|2*pi + I*log|------------||
\ \ 2 // \ \ 2 //
---------------------------------------------------------------
64
$$- \frac{\pi^{2} \left(2 \pi + i \log{\left(\frac{\left(3 - \sqrt{7}\right)^{2}}{2} \right)}\right) \left(2 \pi + i \log{\left(\frac{\left(\sqrt{7} + 3\right)^{2}}{2} \right)}\right)}{64}$$
-pi^2*(2*pi + i*log((3 + sqrt(7))^2/2))*(2*pi + i*log((3 - sqrt(7))^2/2))/64
Respuesta rápida
[src]
-pi
x1 = ----
4
$$x_{1} = - \frac{\pi}{4}$$
pi
x2 = --
4
$$x_{2} = \frac{\pi}{4}$$
/ log(2) / ___\\
x3 = pi + I*|- ------ + log\3 + \/ 7 /|
\ 2 /
$$x_{3} = \pi + i \left(- \frac{\log{\left(2 \right)}}{2} + \log{\left(\sqrt{7} + 3 \right)}\right)$$
/ log(2) / ___\\
x4 = pi + I*|- ------ + log\3 - \/ 7 /|
\ 2 /
$$x_{4} = \pi + i \left(\log{\left(3 - \sqrt{7} \right)} - \frac{\log{\left(2 \right)}}{2}\right)$$
x4 = pi + i*(log(3 - sqrt(7)) - log(2)/2)
Respuesta numérica
[src]
x1 = -36.9137136796801
x2 = 25.9181393921158
x3 = 63.6172512351933
x4 = 49.4800842940392
x5 = -95.0331777710912
x6 = 11.7809724509617
x7 = -25.9181393921158
x8 = -57.3340659280137
x9 = 93.4623814442964
x10 = -7.06858347057703
x11 = -62.0464549083984
x12 = -99.7455667514759
x13 = 74.6128255227576
x14 = 68.329640215578
x15 = -24.3473430653209
x16 = -87.1791961371168
x17 = -30.6305283725005
x18 = 36.9137136796801
x19 = -19.6349540849362
x20 = -80.8960108299372
x21 = 18.0641577581413
x22 = -457.887129260712
x23 = 0.785398163397448
x24 = 32.2013246992954
x25 = -49.4800842940392
x26 = 82.4668071567321
x27 = 38.484510006475
x28 = -93.4623814442964
x29 = 13.3517687777566
x30 = 57.3340659280137
x31 = -74.6128255227576
x32 = -51.0508806208341
x33 = -69.9004365423729
x34 = -76.1836218495525
x35 = -43.1968989868597
x36 = -13.3517687777566
x37 = -55.7632696012188
x38 = -32.2013246992954
x39 = 88.7499924639117
x40 = 24.3473430653209
x41 = -5.49778714378214
x42 = -38.484510006475
x43 = 80.8960108299372
x44 = 76.1836218495525
x45 = 44.7676953136546
x46 = 30.6305283725005
x47 = -68.329640215578
x48 = 69.9004365423729
x49 = 55.7632696012188
x50 = 62.0464549083984
x51 = 99.7455667514759
x52 = 5.49778714378214
x53 = 19.6349540849362
x54 = 150.011049208913
x55 = -11.7809724509617
x56 = -18.0641577581413
x57 = -82.4668071567321
x58 = -1174.17025427919
x59 = -63.6172512351933
x59 = -63.6172512351933