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Ecuación 2x^2-x-1=x^2-5x-(-1-x^2)
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Ecuación x^2+4=5x
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Ecuación x(x^2+2x+1)=6(x+1)
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Ecuación 4x+1=-3x+15
- Expresar {x} en función de y en la ecuación:
- -6*x-20*y=8
- 13*x-12*y=19
- -9*x+11*y=9
- -4*x-8*y=-20
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Expresiones idénticas
- sin(x)^(dos)+ dos sin(x)*cos(x)-3cos(x)^2= cero
- seno de (x) en el grado (2) más 2 seno de (x) multiplicar por coseno de (x) menos 3 coseno de (x) al cuadrado es igual a 0
- seno de (x) en el grado (dos) más dos seno de (x) multiplicar por coseno de (x) menos 3 coseno de (x) al cuadrado es igual a cero
- sin(x)(2)+2sin(x)*cos(x)-3cos(x)2=0
- sinx2+2sinx*cosx-3cosx2=0
- sin(x)^(2)+2sin(x)*cos(x)-3cos(x)²=0
- sin(x) en el grado (2)+2sin(x)*cos(x)-3cos(x) en el grado 2=0
- sin(x)^(2)+2sin(x)cos(x)-3cos(x)^2=0
- sin(x)(2)+2sin(x)cos(x)-3cos(x)2=0
- sinx2+2sinxcosx-3cosx2=0
- sinx^2+2sinxcosx-3cosx^2=0
- sin(x)^(2)+2sin(x)*cos(x)-3cos(x)^2=O
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Expresiones semejantes
- sin(x)^(2)-2sin(x)*cos(x)-3cos(x)^2=0
- sin(x)^(2)+2sin(x)*cos(x)+3cos(x)^2=0
- sinx^(2)+2sinx*cosx-3cosx^2=0
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Expresiones con funciones
- Seno sin
- sin(x)=pi
- sin(4*x)=0
- sin(x)^2=1
- sin(x)=(1/2)
- sin(x)=0,5
- Coseno cos
- cos(x)=-(4/5)
- cos(x+(pi/6))=-1
- cos(3*x)=1
- cos(x)=-3/2
- cos(x)=1/2
sin(x)^(2)+2sin(x)*cos(x)-3cos(x)^2=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
2 2 sin (x) + 2*sin(x)*cos(x) - 3*cos (x) = 0
$$\left(\sin^{2}{\left(x \right)} + 2 \sin{\left(x \right)} \cos{\left(x \right)}\right) - 3 \cos^{2}{\left(x \right)} = 0$$
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 = -13.8154163867574
x2 = -55.7632696012188
x3 = -51.5145282298349
x4 = -86.0720474193227
x5 = 61.5828072993976
x6 = 89.8571411817058
x7 = -42.0897502690656
x8 = 20.7421028027303
x9 = 19.6349540849362
x10 = -46.3384916404494
x11 = -27.4889357189107
x12 = -79.7888621121431
x13 = 7416.0512093531
x14 = 38.484510006475
x15 = 66.7588438887831
x16 = -71.4712328691678
x17 = -4.39063842598805
x18 = 45.8748440314486
x19 = -95.496825380092
x20 = 91.8915851175014
x21 = 25.9181393921158
x22 = -76.6472694585533
x23 = 76.1836218495525
x24 = -64.0808988441941
x25 = -49.4800842940392
x26 = 51.0508806208341
x27 = 82.4668071567321
x28 = -93.4623814442964
x29 = -99.7455667514759
x30 = -5.49778714378214
x31 = -92.3552327265023
x32 = 16.4933614313464
x33 = -11.7809724509617
x34 = 22.776546738526
x35 = -26.3817870011166
x36 = 96.1403264888853
x37 = 8.17573218837112
x38 = -18.0641577581413
x39 = 52.1580293386282
x40 = 0.785398163397448
x41 = -98.6384180336818
x42 = -43.1968989868597
x43 = -62.0464549083984
x44 = 23.8836954563201
x45 = -24.3473430653209
x46 = 60.4756585816035
x47 = 69.9004365423729
x48 = 88.7499924639117
x49 = 47.9092879672443
x50 = 54.1924732744239
x51 = -65.1880475619882
x52 = -68.329640215578
x53 = -29.5233796547064
x54 = 80.4323632209364
x55 = 36.4500660706793
x56 = -84.037603483527
x57 = -70.3640841513737
x58 = -21.2057504117311
x59 = -7.53223107957784
x60 = 67.8659926065772
x61 = 3.92699081698724
x62 = 32.2013246992954
x63 = 30.1668807634997
x64 = -2.35619449019234
x65 = -90.3207887907066
x66 = -57.7977135370145
x67 = -87.1791961371168
x68 = 83.5739558745262
x69 = -77.7544181763474
x70 = -35.806564961886
x71 = -54.6561208834247
x72 = 14.4589174955507
x73 = 1.89254688119154
x74 = 17.6005101491405
x75 = 55.299621992218
x76 = 58.4412146458078
x77 = 74.1491779137568
x78 = 39.5916587242691
x79 = 98.174770424681
x80 = 44.7676953136546
x81 = -40.0553063332699
x82 = -73.5056768049635
x83 = -48.3729355762452
x84 = -33.7721210260903
x85 = 10.2101761241668
x86 = -20.098601693937
x86 = -20.098601693937