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- La ecuación:
-
Ecuación x^3-x^2-x-1=0
-
Ecuación 12-4(x-3)=39-9x
-
Ecuación 0,2x+2,7=1,4-1,1x
-
Ecuación x^2=2x+8
- Expresar {x} en función de y en la ecuación:
- -11*x-14*y=-3
- -9*x-1*y=6
- -2*x+2*y=4
- -11*x-3*y=14
-
Expresiones idénticas
- (cosx-sqrt dos / dos)(sinx+ uno /2)= cero
- ( coseno de x menos raíz cuadrada de 2 dividir por 2)( seno de x más 1 dividir por 2) es igual a 0
- ( coseno de x menos raíz cuadrada de dos dividir por dos)( seno de x más uno dividir por 2) es igual a cero
- (cosx-√2/2)(sinx+1/2)=0
- cosx-sqrt2/2sinx+1/2=0
- (cosx-sqrt2/2)(sinx+1/2)=O
- (cosx-sqrt2 dividir por 2)(sinx+1 dividir por 2)=0
-
Expresiones semejantes
- (cosx-sqrt2/2)(sinx-1/2)=0
- (cosx+sqrt2/2)(sinx+1/2)=0
-
Expresiones con funciones
- cosx
- cosx*cosx+(x-Pi/2)^(1/2)*cosx+(x-Pi/2)^(1/2)=0
- cosx=√3
- cosx⋅ctgx−(−√3/3)cosx=0
- Cosxcos2x-sin2xx=-1
- Cosx=2
- sinx
- sinx=2:2
- sinx*sin5x=cos4x
- sinx+lnx=0
- sinx⋅tgx−(–√3)sinx=0
- sinx=-✓2/2
(cosx-sqrt2/2)(sinx+1/2)=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
/ ___\ | \/ 2 | |cos(x) - -----|*(sin(x) + 1/2) = 0 \ 2 /
$$\left(\sin{\left(x \right)} + \frac{1}{2}\right) \left(\cos{\left(x \right)} - \frac{\sqrt{2}}{2}\right) = 0$$
Respuesta rápida
[src]
-5*pi
x1 = -----
6
$$x_{1} = - \frac{5 \pi}{6}$$
-pi
x2 = ----
6
$$x_{2} = - \frac{\pi}{6}$$
/ ___________\
| / ___ |
|\/ 2 - \/ 2 |
x3 = -2*atan|--------------|
| ___________|
| / ___ |
\\/ 2 + \/ 2 /
$$x_{3} = - 2 \operatorname{atan}{\left(\frac{\sqrt{2 - \sqrt{2}}}{\sqrt{\sqrt{2} + 2}} \right)}$$
/ ___________\
| / ___ |
|\/ 2 - \/ 2 |
x4 = 2*atan|--------------|
| ___________|
| / ___ |
\\/ 2 + \/ 2 /
$$x_{4} = 2 \operatorname{atan}{\left(\frac{\sqrt{2 - \sqrt{2}}}{\sqrt{\sqrt{2} + 2}} \right)}$$
x4 = 2*atan(sqrt(2 - sqrt(2))/sqrt(sqrt(2) + 2))
Suma y producto de raíces
[src]
suma
/ ___________\ / ___________\
| / ___ | | / ___ |
5*pi pi |\/ 2 - \/ 2 | |\/ 2 - \/ 2 |
- ---- - -- - 2*atan|--------------| + 2*atan|--------------|
6 6 | ___________| | ___________|
| / ___ | | / ___ |
\\/ 2 + \/ 2 / \\/ 2 + \/ 2 /
$$\left(\left(- \frac{5 \pi}{6} - \frac{\pi}{6}\right) - 2 \operatorname{atan}{\left(\frac{\sqrt{2 - \sqrt{2}}}{\sqrt{\sqrt{2} + 2}} \right)}\right) + 2 \operatorname{atan}{\left(\frac{\sqrt{2 - \sqrt{2}}}{\sqrt{\sqrt{2} + 2}} \right)}$$
=
-pi
$$- \pi$$
producto
/ ___________\ / ___________\
| / ___ | | / ___ |
-5*pi -pi |\/ 2 - \/ 2 | |\/ 2 - \/ 2 |
-----*----*-2*atan|--------------|*2*atan|--------------|
6 6 | ___________| | ___________|
| / ___ | | / ___ |
\\/ 2 + \/ 2 / \\/ 2 + \/ 2 /
$$- \frac{5 \pi}{6} \left(- \frac{\pi}{6}\right) \left(- 2 \operatorname{atan}{\left(\frac{\sqrt{2 - \sqrt{2}}}{\sqrt{\sqrt{2} + 2}} \right)}\right) 2 \operatorname{atan}{\left(\frac{\sqrt{2 - \sqrt{2}}}{\sqrt{\sqrt{2} + 2}} \right)}$$
=
/ ___________\
| / ___ |
2 2|\/ 2 - \/ 2 |
-5*pi *atan |--------------|
| ___________|
| / ___ |
\\/ 2 + \/ 2 /
----------------------------
9
$$- \frac{5 \pi^{2} \operatorname{atan}^{2}{\left(\frac{\sqrt{2 - \sqrt{2}}}{\sqrt{\sqrt{2} + 2}} \right)}}{9}$$
-5*pi^2*atan(sqrt(2 - sqrt(2))/sqrt(2 + sqrt(2)))^2/9
Respuesta numérica
[src]
x1 = -75.9218224617533
x2 = -96.8657734856853
x3 = 43.1968989868597
x4 = -38.2227106186758
x5 = 95.0331777710912
x6 = 25.9181393921158
x7 = -34.0339204138894
x8 = 63.6172512351933
x9 = 88.7499924639117
x10 = 82.4668071567321
x11 = -13.3517687777566
x12 = -62.0464549083984
x13 = 44.7676953136546
x14 = -51.0508806208341
x15 = 57.3340659280137
x16 = 12.0427718387609
x17 = -24.3473430653209
x18 = 47.6474885794452
x19 = 288.241125966864
x20 = 91.6297857297023
x21 = 19.6349540849362
x22 = -30.6305283725005
x23 = -49.4800842940392
x24 = -63.6172512351933
x25 = 100.007366139275
x26 = -15.1843644923507
x27 = 13.3517687777566
x28 = -44.7676953136546
x29 = 32.2013246992954
x30 = 66.497044500984
x31 = -40.317105721069
x32 = -57.3340659280137
x33 = 30.6305283725005
x34 = -52.8834763354282
x35 = -1860.34644970076
x36 = 16.2315620435473
x37 = 79.0634151153431
x38 = -88.7499924639117
x39 = 76.1836218495525
x40 = 80.8960108299372
x41 = 7.06858347057703
x42 = 22.5147473507269
x43 = -74.6128255227576
x44 = -7.06858347057703
x45 = 60.2138591938044
x46 = -0.785398163397448
x47 = 93.7241808320955
x48 = -80.8960108299372
x49 = 56.025068989018
x50 = -65.4498469497874
x51 = -19.6349540849362
x52 = -84.2994028713261
x53 = 51.0508806208341
x54 = 53.9306738866248
x55 = -82.2050077689329
x56 = -36.9137136796801
x57 = 68.329640215578
x58 = -11.7809724509617
x59 = -78.0162175641465
x60 = 36.9137136796801
x61 = -8.90117918517108
x62 = -25.9181393921158
x63 = -5.49778714378214
x64 = 5.75958653158129
x65 = -55.7632696012188
x66 = 9.94837673636768
x67 = 74.6128255227576
x68 = -21.4675497995303
x69 = 35.081117965086
x70 = -99.7455667514759
x71 = 18.3259571459405
x72 = -18.0641577581413
x73 = 38.484510006475
x74 = -68.329640215578
x75 = -69.9004365423729
x76 = -88.4881930761125
x77 = 69.9004365423729
x78 = 72.7802298081635
x79 = 49.7418836818384
x80 = 28.7979326579064
x81 = 24.3473430653209
x82 = 62.3082542961976
x83 = 3.66519142918809
x84 = -59.1666616426078
x85 = -71.733032256967
x86 = -27.7507351067098
x87 = 97.9129710368819
x88 = -93.4623814442964
x89 = -95.0331777710912
x90 = -31.9395253114962
x91 = 87.1791961371168
x91 = 87.1791961371168