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- La ecuación:
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Ecuación 6*x^2+x-7=0
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Ecuación 2-5(3+2x)=17
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Ecuación (6*x+8)/2+5=5*x/3
-
Ecuación 2+3x=−2x−13
- Expresar {x} en función de y en la ecuación:
- 6*x+4*y=15
- -4*x+4*y=-9
- 3*x-12*y=-14
- 1*x+4*y=-16
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Expresiones idénticas
- Sin^2x-2Sinx*Cosx=3Cos^2x
- Sin al cuadrado x menos 2Sinx multiplicar por Cosx es igual a 3Cos al cuadrado x
- Sin2x-2Sinx*Cosx=3Cos2x
- Sin²x-2Sinx*Cosx=3Cos²x
- Sin en el grado 2x-2Sinx*Cosx=3Cos en el grado 2x
- Sin^2x-2SinxCosx=3Cos^2x
- Sin2x-2SinxCosx=3Cos2x
-
Expresiones semejantes
- Sin^2x+2Sinx*Cosx=3Cos^2x
Sin^2x-2Sinx*Cosx=3Cos^2x 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)
$$\sin^{2}{\left(x \right)} - 2 \sin{\left(x \right)} \cos{\left(x \right)} = 3 \cos^{2}{\left(x \right)}$$
Respuesta rápida
[src]
-pi
x1 = ----
4
$$x_{1} = - \frac{\pi}{4}$$
3*pi
x2 = ----
4
$$x_{2} = \frac{3 \pi}{4}$$
/ ____\
|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
/ ____\ / ____\ pi 3*pi |1 \/ 10 | |1 \/ 10 | - -- + ---- - 2*atan|- - ------| - 2*atan|- + ------| 4 4 \3 3 / \3 3 /
$$- 2 \operatorname{atan}{\left(\frac{1}{3} + \frac{\sqrt{10}}{3} \right)} + \left(- 2 \operatorname{atan}{\left(\frac{1}{3} - \frac{\sqrt{10}}{3} \right)} + \left(- \frac{\pi}{4} + \frac{3 \pi}{4}\right)\right)$$
=
/ ____\ / ____\ pi |1 \/ 10 | |1 \/ 10 | -- - 2*atan|- - ------| - 2*atan|- + ------| 2 \3 3 / \3 3 /
$$- 2 \operatorname{atan}{\left(\frac{1}{3} + \frac{\sqrt{10}}{3} \right)} - 2 \operatorname{atan}{\left(\frac{1}{3} - \frac{\sqrt{10}}{3} \right)} + \frac{\pi}{2}$$
producto
/ ____\ / ____\ -pi 3*pi |1 \/ 10 | |1 \/ 10 | ----*----*-2*atan|- - ------|*-2*atan|- + ------| 4 4 \3 3 / \3 3 /
$$- \frac{\pi}{4} \frac{3 \pi}{4} \left(- 2 \operatorname{atan}{\left(\frac{1}{3} - \frac{\sqrt{10}}{3} \right)}\right) \left(- 2 \operatorname{atan}{\left(\frac{1}{3} + \frac{\sqrt{10}}{3} \right)}\right)$$
=
/ ____\ / ____\
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 = -66.7588438887831
x2 = -77.2907705673466
x3 = -45.8748440314486
x4 = 2.35619449019234
x5 = 5.49778714378214
x6 = 99.7455667514759
x7 = -14.4589174955507
x8 = -8.17573218837112
x9 = 33.7721210260903
x10 = -54.1924732744239
x11 = 96.6039740978861
x12 = -32.2013246992954
x13 = -0.785398163397448
x14 = 27.4889357189107
x15 = -41.6261026600648
x16 = -11.3173248419609
x17 = -96.1403264888853
x18 = -83.5739558745262
x19 = 62.0464549083984
x20 = -99.2819191424751
x21 = -52.1580293386282
x22 = -19.6349540849362
x23 = -85.6083998103219
x24 = -82.4668071567321
x25 = 24.3473430653209
x26 = 20.098601693937
x27 = 79.7888621121431
x28 = -1073.17564175531
x29 = 13.8154163867574
x30 = 48.3729355762452
x31 = 86.0720474193227
x32 = 77.7544181763474
x33 = -33.3084734170895
x34 = 46.3384916404494
x35 = 42.0897502690656
x36 = -74.1491779137568
x37 = -95.0331777710912
x38 = -3.92699081698724
x39 = -30.1668807634997
x40 = -23.8836954563201
x41 = 4.39063842598805
x42 = 153.152641862502
x43 = -98.174770424681
x44 = 32.6649723082962
x45 = -39.5916587242691
x46 = 93.4623814442964
x47 = 74.6128255227576
x48 = 18.0641577581413
x49 = 11.7809724509617
x50 = 55.7632696012188
x51 = -63.6172512351933
x52 = -47.9092879672443
x53 = -242.688032489812
x54 = -61.5828072993976
x55 = 64.0808988441941
x56 = 70.3640841513737
x57 = 40.0553063332699
x58 = -25.9181393921158
x59 = -10.2101761241668
x60 = -91.8915851175014
x61 = -69.9004365423729
x62 = -17.6005101491405
x63 = 98.6384180336818
x64 = -55.299621992218
x65 = 90.3207887907066
x66 = -60.4756585816035
x67 = 26.3817870011166
x68 = 71.4712328691678
x69 = -38.484510006475
x70 = -1.89254688119154
x71 = -67.8659926065772
x72 = 49.4800842940392
x73 = 92.3552327265023
x74 = -76.1836218495525
x75 = -89.8571411817058
x76 = 54.6561208834247
x77 = 35.806564961886
x78 = -16.4933614313464
x79 = 76.6472694585533
x80 = 57.7977135370145
x81 = 68.329640215578
x82 = 10.6738237331676
x83 = 84.037603483527
x83 = 84.037603483527