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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
-
Expresiones idénticas
- (sqrt2*sin^2x+cosx-sqrt2)*(sqrt6*sinx)= cero
- ( raíz cuadrada de 2 multiplicar por seno de al cuadrado x más coseno de x menos raíz cuadrada de 2) multiplicar por ( raíz cuadrada de 6 multiplicar por seno de x) es igual a 0
- ( raíz cuadrada de 2 multiplicar por seno de al cuadrado x más coseno de x menos raíz cuadrada de 2) multiplicar por ( raíz cuadrada de 6 multiplicar por seno de x) es igual a cero
- (√2*sin^2x+cosx-√2)*(√6*sinx)=0
- (sqrt2*sin2x+cosx-sqrt2)*(sqrt6*sinx)=0
- sqrt2*sin2x+cosx-sqrt2*sqrt6*sinx=0
- (sqrt2*sin²x+cosx-sqrt2)*(sqrt6*sinx)=0
- (sqrt2*sin en el grado 2x+cosx-sqrt2)*(sqrt6*sinx)=0
- (sqrt2sin^2x+cosx-sqrt2)(sqrt6sinx)=0
- (sqrt2sin2x+cosx-sqrt2)(sqrt6sinx)=0
- sqrt2sin2x+cosx-sqrt2sqrt6sinx=0
- sqrt2sin^2x+cosx-sqrt2sqrt6sinx=0
- (sqrt2*sin^2x+cosx-sqrt2)*(sqrt6*sinx)=O
-
Expresiones semejantes
- (sqrt2*sin^2x+cosx+sqrt2)*(sqrt6*sinx)=0
- (sqrt2*sin^2x-cosx-sqrt2)*(sqrt6*sinx)=0
-
Expresiones con funciones
- Seno sin
- sin(2x)=0
- sin(x)=a
- sin(x)^2=1/2
- sin(3*x)+sin(x)=0
- sin((pi*x)/4)=-1
- cosx
- cosx(x^2+x+1)=y
- cosx=4/3
- cosx=-15/16
- cosx+v3*(1-sinx)=0
- cosx+1=2
- sinx
- sinx+sin3x=2sin2x
- sinx+tgx=sin2x
- sinx+x^2cosy-y^2=0
- sinx/2(cos2x+1)=0
- sinx-0,2x=0
(sqrt2*sin^2x+cosx-sqrt2)*(sqrt6*sinx)=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
/ ___ 2 ___\ ___ \\/ 2 *sin (x) + cos(x) - \/ 2 /*\/ 6 *sin(x) = 0
$$\sqrt{6} \sin{\left(x \right)} \left(\left(\sqrt{2} \sin^{2}{\left(x \right)} + \cos{\left(x \right)}\right) - \sqrt{2}\right) = 0$$
Suma y producto de raíces
[src]
suma
/ ____________\ / ____________\
| / ___ | | / ___ |
pi pi |\/ -1 + \/ 2 | |\/ -1 + \/ 2 |
- -- + -- - 2*atan|---------------| + 2*atan|---------------|
2 2 | ___________| | ___________|
| / ___ | | / ___ |
\ \/ 1 + \/ 2 / \ \/ 1 + \/ 2 /
$$\left(- 2 \operatorname{atan}{\left(\frac{\sqrt{-1 + \sqrt{2}}}{\sqrt{1 + \sqrt{2}}} \right)} + \left(- \frac{\pi}{2} + \frac{\pi}{2}\right)\right) + 2 \operatorname{atan}{\left(\frac{\sqrt{-1 + \sqrt{2}}}{\sqrt{1 + \sqrt{2}}} \right)}$$
=
0
$$0$$
producto
/ ____________\ / ____________\
| / ___ | | / ___ |
-pi pi |\/ -1 + \/ 2 | |\/ -1 + \/ 2 |
0*----*--*-2*atan|---------------|*2*atan|---------------|
2 2 | ___________| | ___________|
| / ___ | | / ___ |
\ \/ 1 + \/ 2 / \ \/ 1 + \/ 2 /
$$\frac{\pi}{2} \cdot 0 \left(- \frac{\pi}{2}\right) \left(- 2 \operatorname{atan}{\left(\frac{\sqrt{-1 + \sqrt{2}}}{\sqrt{1 + \sqrt{2}}} \right)}\right) 2 \operatorname{atan}{\left(\frac{\sqrt{-1 + \sqrt{2}}}{\sqrt{1 + \sqrt{2}}} \right)}$$
=
0
$$0$$
0
Respuesta rápida
[src]
x1 = 0
$$x_{1} = 0$$
-pi
x2 = ----
2
$$x_{2} = - \frac{\pi}{2}$$
pi
x3 = --
2
$$x_{3} = \frac{\pi}{2}$$
/ ____________\
| / ___ |
|\/ -1 + \/ 2 |
x4 = -2*atan|---------------|
| ___________|
| / ___ |
\ \/ 1 + \/ 2 /
$$x_{4} = - 2 \operatorname{atan}{\left(\frac{\sqrt{-1 + \sqrt{2}}}{\sqrt{1 + \sqrt{2}}} \right)}$$
/ ____________\
| / ___ |
|\/ -1 + \/ 2 |
x5 = 2*atan|---------------|
| ___________|
| / ___ |
\ \/ 1 + \/ 2 /
$$x_{5} = 2 \operatorname{atan}{\left(\frac{\sqrt{-1 + \sqrt{2}}}{\sqrt{1 + \sqrt{2}}} \right)}$$
x5 = 2*atan(sqrt(-1 + sqrt(2))/sqrt(1 + sqrt(2)))
Respuesta numérica
[src]
x1 = 4.71238898038469
x2 = -59.6902604182061
x3 = -55.7632696012188
x4 = 7.85398163397448
x5 = -21.9911485751286
x6 = -39.2699081698724
x7 = 50.2654824574367
x8 = 38.484510006475
x9 = 95.8185759344887
x10 = 34.5575191894877
x11 = -86.3937979737193
x12 = -45.553093477052
x13 = 1156.10609652104
x14 = 62.0464549083984
x15 = 25.9181393921158
x16 = 0.0
x17 = -19.6349540849362
x18 = 43.9822971502571
x19 = 102.101761241668
x20 = -43.9822971502571
x21 = 24.3473430653209
x22 = 76.1836218495525
x23 = 48.6946861306418
x24 = -58.1194640914112
x25 = -51.0508806208341
x26 = -80.1106126665397
x27 = -65.9734457253857
x28 = 182.997772071605
x29 = -83.2522053201295
x30 = 86.3937979737193
x31 = -99.7455667514759
x32 = 45.553093477052
x33 = 51.8362787842316
x34 = -87.9645943005142
x35 = 18.8495559215388
x36 = -88.7499924639117
x37 = -14.1371669411541
x38 = -11.7809724509617
x39 = 20.4203522483337
x40 = 87.9645943005142
x41 = 59.6902604182061
x42 = -73.8274273593601
x43 = -81.6814089933346
x44 = 72.2566310325652
x45 = -18.0641577581413
x46 = -9.42477796076938
x47 = -29.845130209103
x48 = -72.2566310325652
x49 = 81.6814089933346
x50 = -89.5353906273091
x51 = 64.4026493985908
x52 = -62.0464549083984
x53 = -94.2477796076938
x54 = 18.0641577581413
x55 = 29.845130209103
x56 = 28.2743338823081
x57 = -51.8362787842316
x58 = 69.9004365423729
x59 = 92.6769832808989
x60 = 55.7632696012188
x61 = -63.6172512351933
x62 = -53.4070751110265
x63 = 94.2477796076938
x64 = 21.9911485751286
x65 = -257.610597594363
x66 = -36.1283155162826
x67 = -15.707963267949
x68 = -7.85398163397448
x69 = 65.9734457253857
x70 = 14.1371669411541
x71 = 89.5353906273091
x72 = 80.1106126665397
x73 = 78.5398163397448
x74 = 15.707963267949
x75 = -57.3340659280137
x76 = -25.9181393921158
x77 = 42.4115008234622
x78 = -97.3893722612836
x79 = -69.9004365423729
x80 = 36.1283155162826
x81 = -1.5707963267949
x82 = -95.8185759344887
x83 = 6.28318530717959
x84 = 32.2013246992954
x85 = -32.9867228626928
x86 = -28.2743338823081
x87 = -87.1791961371168
x88 = 12.5663706143592
x89 = -76.1836218495525
x90 = -37.6991118430775
x91 = 63.6172512351933
x92 = 73.8274273593601
x93 = 58.1194640914112
x94 = -61.261056745001
x95 = 1.5707963267949
x96 = 68.329640215578
x97 = -42.4115008234622
x98 = -2400.1767873426
x98 = -2400.1767873426