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- La ecuación:
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Ecuación x^4+2*x^2-8=0
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Ecuación x*(x^2+8*x+16)=5*(x+4)
-
Ecuación -25-x=-17
-
Ecuación x^2+3x=4
- Expresar {x} en función de y en la ecuación:
- -18*x-2*y=9
- -14*x+10*y=19
- -9*x+1*y=3
- -17*x+1*y=-11
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Expresiones idénticas
- sin(x)^(dos)-3cos(x)^ dos +2sin(x)cos(x)= cero
- seno de (x) en el grado (2) menos 3 coseno de (x) al cuadrado más 2 seno de (x) coseno de (x) es igual a 0
- seno de (x) en el grado (dos) menos 3 coseno de (x) en el grado dos más 2 seno de (x) coseno de (x) es igual a cero
- sin(x)(2)-3cos(x)2+2sin(x)cos(x)=0
- sinx2-3cosx2+2sinxcosx=0
- sin(x)^(2)-3cos(x)²+2sin(x)cos(x)=0
- sin(x) en el grado (2)-3cos(x) en el grado 2+2sin(x)cos(x)=0
- sinx^2-3cosx^2+2sinxcosx=0
- sin(x)^(2)-3cos(x)^2+2sin(x)cos(x)=O
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Expresiones semejantes
- sin(x)^(2)-3cos(x)^2-2sin(x)cos(x)=0
- sin(x)^(2)+3cos(x)^2+2sin(x)cos(x)=0
- sinx^(2)-3cosx^2+2sinxcosx=0
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Expresiones con funciones
- Seno sin
- sin(x)=1,5
- sin(x-1)=0
- sin2x=1
- sin(3*x)=-1/2
- sin(3*x)=-1
- Coseno cos
- cos(x)=sqrt(3)
- cos2x=1/2
- cos(2*x)+3*sin(x)-2=0
- cos(2*x)+sqrt(2)*sin(x)+1=0
- cos(pi+x)=1/2
sin(x)^(2)-3cos(x)^2+2sin(x)cos(x)=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
2 2 sin (x) - 3*cos (x) + 2*sin(x)*cos(x) = 0
$$\left(\sin^{2}{\left(x \right)} - 3 \cos^{2}{\left(x \right)}\right) + 2 \sin{\left(x \right)} \cos{\left(x \right)} = 0$$
Respuesta rápida
[src]
-3*pi
x1 = -----
4
$$x_{1} = - \frac{3 \pi}{4}$$
pi
x2 = --
4
$$x_{2} = \frac{\pi}{4}$$
/ ____\
|1 \/ 10 |
x3 = 2*atan|- - ------|
\3 3 /
$$x_{3} = 2 \operatorname{atan}{\left(\frac{1}{3} - \frac{\sqrt{10}}{3} \right)}$$
/ ____\
|1 \/ 10 |
x4 = 2*atan|- + ------|
\3 3 /
$$x_{4} = 2 \operatorname{atan}{\left(\frac{1}{3} + \frac{\sqrt{10}}{3} \right)}$$
x4 = 2*atan(1/3 + sqrt(10)/3)
Suma y producto de raíces
[src]
suma
/ ____\ / ____\ 3*pi pi |1 \/ 10 | |1 \/ 10 | - ---- + -- + 2*atan|- - ------| + 2*atan|- + ------| 4 4 \3 3 / \3 3 /
$$\left(\left(- \frac{3 \pi}{4} + \frac{\pi}{4}\right) + 2 \operatorname{atan}{\left(\frac{1}{3} - \frac{\sqrt{10}}{3} \right)}\right) + 2 \operatorname{atan}{\left(\frac{1}{3} + \frac{\sqrt{10}}{3} \right)}$$
=
/ ____\ / ____\
|1 \/ 10 | |1 \/ 10 | pi
2*atan|- - ------| + 2*atan|- + ------| - --
\3 3 / \3 3 / 2
$$- \frac{\pi}{2} + 2 \operatorname{atan}{\left(\frac{1}{3} - \frac{\sqrt{10}}{3} \right)} + 2 \operatorname{atan}{\left(\frac{1}{3} + \frac{\sqrt{10}}{3} \right)}$$
producto
/ ____\ / ____\ -3*pi pi |1 \/ 10 | |1 \/ 10 | -----*--*2*atan|- - ------|*2*atan|- + ------| 4 4 \3 3 / \3 3 /
$$- \frac{3 \pi}{4} \frac{\pi}{4} \cdot 2 \operatorname{atan}{\left(\frac{1}{3} - \frac{\sqrt{10}}{3} \right)} 2 \operatorname{atan}{\left(\frac{1}{3} + \frac{\sqrt{10}}{3} \right)}$$
=
/ ____\ / ____\
2 |1 \/ 10 | |1 \/ 10 |
-3*pi *atan|- - ------|*atan|- + ------|
\3 3 / \3 3 /
----------------------------------------
4
$$- \frac{3 \pi^{2} \operatorname{atan}{\left(\frac{1}{3} - \frac{\sqrt{10}}{3} \right)} \operatorname{atan}{\left(\frac{1}{3} + \frac{\sqrt{10}}{3} \right)}}{4}$$
-3*pi^2*atan(1/3 - sqrt(10)/3)*atan(1/3 + sqrt(10)/3)/4
Respuesta numérica
[src]
x1 = -29.5233796547064
x2 = 10.2101761241668
x3 = 39.5916587242691
x4 = 61.5828072993976
x5 = 3.92699081698724
x6 = -86.0720474193227
x7 = -76.6472694585533
x8 = -11.7809724509617
x9 = -24.3473430653209
x10 = -35.806564961886
x11 = 69.9004365423729
x12 = 98.174770424681
x13 = -79.7888621121431
x14 = 1.89254688119154
x15 = 7416.0512093531
x16 = -51.5145282298349
x17 = 17.6005101491405
x18 = -57.7977135370145
x19 = 36.4500660706793
x20 = 30.1668807634997
x21 = -33.7721210260903
x22 = 20.7421028027303
x23 = -46.3384916404494
x24 = -7.53223107957784
x25 = 51.0508806208341
x26 = -18.0641577581413
x27 = 89.8571411817058
x28 = -64.0808988441941
x29 = -92.3552327265023
x30 = -73.5056768049635
x31 = 44.7676953136546
x32 = -49.4800842940392
x33 = 74.1491779137568
x34 = -54.6561208834247
x35 = -95.496825380092
x36 = -68.329640215578
x37 = 60.4756585816035
x38 = -77.7544181763474
x39 = -87.1791961371168
x40 = 45.8748440314486
x41 = -90.3207887907066
x42 = -93.4623814442964
x43 = -43.1968989868597
x44 = -5.49778714378214
x45 = -98.6384180336818
x46 = -62.0464549083984
x47 = 19.6349540849362
x48 = 54.1924732744239
x49 = 88.7499924639117
x50 = -99.7455667514759
x51 = 8.17573218837112
x52 = -48.3729355762452
x53 = 82.4668071567321
x54 = -71.4712328691678
x55 = -21.2057504117311
x56 = 52.1580293386282
x57 = 0.785398163397448
x58 = -70.3640841513737
x59 = 67.8659926065772
x60 = -27.4889357189107
x61 = -26.3817870011166
x62 = -42.0897502690656
x63 = 66.7588438887831
x64 = 47.9092879672443
x65 = -55.7632696012188
x66 = -4.39063842598805
x67 = -13.8154163867574
x68 = 23.8836954563201
x69 = -65.1880475619882
x70 = 32.2013246992954
x71 = -20.098601693937
x72 = 83.5739558745262
x73 = 22.776546738526
x74 = 58.4412146458078
x75 = -84.037603483527
x76 = 38.484510006475
x77 = 80.4323632209364
x78 = 14.4589174955507
x79 = 76.1836218495525
x80 = 55.299621992218
x81 = 96.1403264888853
x82 = -2.35619449019234
x83 = 25.9181393921158
x84 = -40.0553063332699
x85 = 16.4933614313464
x86 = 91.8915851175014
x86 = 91.8915851175014