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Ecuación 1/(x-3)^2-3/(x-3)-4=0
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Ecuación 9*(x-5)=-x
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Ecuación 13x+10=6x-4
- Ecuación x-y=1
- Expresar {x} en función de y en la ecuación:
- 7*x-6*y=-2
- 13*x-15*y=-6
- 4*x-7*y=4
- -4*x+6*y=-7
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Expresiones idénticas
- sin(x)^(dos)-sin(x)*cos(x)- dos *cos(x)^(dos)= cero
- seno de (x) en el grado (2) menos seno de (x) multiplicar por coseno de (x) menos 2 multiplicar por coseno de (x) en el grado (2) es igual a 0
- seno de (x) en el grado (dos) menos seno de (x) multiplicar por coseno de (x) menos dos multiplicar por coseno de (x) en el grado (dos) es igual a cero
- sin(x)(2)-sin(x)*cos(x)-2*cos(x)(2)=0
- sinx2-sinx*cosx-2*cosx2=0
- sin(x)^(2)-sin(x)cos(x)-2cos(x)^(2)=0
- sin(x)(2)-sin(x)cos(x)-2cos(x)(2)=0
- sinx2-sinxcosx-2cosx2=0
- sinx^2-sinxcosx-2cosx^2=0
- sin(x)^(2)-sin(x)*cos(x)-2*cos(x)^(2)=O
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Expresiones semejantes
- sin(x)^(2)+sin(x)*cos(x)-2*cos(x)^(2)=0
- sin(x)^(2)-sin(x)*cos(x)+2*cos(x)^(2)=0
- sinx^(2)-sinx*cosx-2*cosx^(2)=0
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Expresiones con funciones
- Seno sin
- sin(x)=-√2/2
- sin(4*x)=1
- sin(-x)=1
- sin(x)=sqrt2/2
- sin(2x)=sqrt(2)/2
- Seno sin
- sin(x)=-√2/2
- sin(4*x)=1
- sin(-x)=1
- sin(x)=sqrt2/2
- sin(2x)=sqrt(2)/2
- Coseno cos
- cos(x)=(-1/2)
- cos((pi*(x-7))/3)=1/2
- cos(x)/5=-1
- cos(x)=(-1)/sqrt(2)
- cos(a-b)+sin(-a)sinb
- Coseno cos
- cos(x)=(-1/2)
- cos((pi*(x-7))/3)=1/2
- cos(x)/5=-1
- cos(x)=(-1)/sqrt(2)
- cos(a-b)+sin(-a)sinb
sin(x)^(2)-sin(x)*cos(x)-2*cos(x)^(2)=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
2 2 sin (x) - sin(x)*cos(x) - 2*cos (x) = 0
$$\left(\sin^{2}{\left(x \right)} - \sin{\left(x \right)} \cos{\left(x \right)}\right) - 2 \cos^{2}{\left(x \right)} = 0$$
Respuesta rápida
[src]
-pi
x1 = ----
4
$$x_{1} = - \frac{\pi}{4}$$
3*pi
x2 = ----
4
$$x_{2} = \frac{3 \pi}{4}$$
/ ___\
|1 \/ 5 |
x3 = -2*atan|- - -----|
\2 2 /
$$x_{3} = - 2 \operatorname{atan}{\left(\frac{1}{2} - \frac{\sqrt{5}}{2} \right)}$$
/ ___\
|1 \/ 5 |
x4 = -2*atan|- + -----|
\2 2 /
$$x_{4} = - 2 \operatorname{atan}{\left(\frac{1}{2} + \frac{\sqrt{5}}{2} \right)}$$
x4 = -2*atan(1/2 + sqrt(5)/2)
Suma y producto de raíces
[src]
suma
/ ___\ / ___\ pi 3*pi |1 \/ 5 | |1 \/ 5 | - -- + ---- - 2*atan|- - -----| - 2*atan|- + -----| 4 4 \2 2 / \2 2 /
$$- 2 \operatorname{atan}{\left(\frac{1}{2} + \frac{\sqrt{5}}{2} \right)} + \left(- 2 \operatorname{atan}{\left(\frac{1}{2} - \frac{\sqrt{5}}{2} \right)} + \left(- \frac{\pi}{4} + \frac{3 \pi}{4}\right)\right)$$
=
/ ___\ / ___\ pi |1 \/ 5 | |1 \/ 5 | -- - 2*atan|- + -----| - 2*atan|- - -----| 2 \2 2 / \2 2 /
$$- 2 \operatorname{atan}{\left(\frac{1}{2} + \frac{\sqrt{5}}{2} \right)} - 2 \operatorname{atan}{\left(\frac{1}{2} - \frac{\sqrt{5}}{2} \right)} + \frac{\pi}{2}$$
producto
/ ___\ / ___\ -pi 3*pi |1 \/ 5 | |1 \/ 5 | ----*----*-2*atan|- - -----|*-2*atan|- + -----| 4 4 \2 2 / \2 2 /
$$- \frac{\pi}{4} \frac{3 \pi}{4} \left(- 2 \operatorname{atan}{\left(\frac{1}{2} - \frac{\sqrt{5}}{2} \right)}\right) \left(- 2 \operatorname{atan}{\left(\frac{1}{2} + \frac{\sqrt{5}}{2} \right)}\right)$$
=
/ ___\ / ___\
2 |1 \/ 5 | |1 \/ 5 |
-3*pi *atan|- + -----|*atan|- - -----|
\2 2 / \2 2 /
--------------------------------------
4
$$- \frac{3 \pi^{2} \operatorname{atan}{\left(\frac{1}{2} - \frac{\sqrt{5}}{2} \right)} \operatorname{atan}{\left(\frac{1}{2} + \frac{\sqrt{5}}{2} \right)}}{4}$$
-3*pi^2*atan(1/2 + sqrt(5)/2)*atan(1/2 - sqrt(5)/2)/4
Respuesta numérica
[src]
x1 = 18.0641577581413
x2 = 52.621676947629
x3 = 49.4800842940392
x4 = 93.4623814442964
x5 = 33.7721210260903
x6 = -11.4592218965651
x7 = 71.4712328691678
x8 = -51.0508806208341
x9 = -49.1583337396426
x10 = -69.9004365423729
x11 = 46.3384916404494
x12 = 85.9301503647185
x13 = 26.2398899465124
x14 = 57.6558164824104
x15 = 10.5319266785635
x16 = -98.174770424681
x17 = -82.4668071567321
x18 = 48.231038521641
x19 = 30.6305283725005
x20 = -91.8915851175014
x21 = -33.4503704716936
x22 = -8.31762924297529
x23 = 82.7885577111287
x24 = -5.1760365893855
x25 = -17.7424072037447
x26 = 4.24874137138388
x27 = 11.7809724509617
x28 = -89.9990382363099
x29 = -74.2910749683609
x30 = -19.6349540849362
x31 = 68.329640215578
x32 = 38.8062605608716
x33 = 32.523075253692
x34 = 63.93900178959
x35 = -85.6083998103219
x36 = -47.9092879672443
x37 = -32.2013246992954
x38 = -71.1494823147711
x39 = 40.0553063332699
x40 = -55.4415190468222
x41 = 527.002167639688
x42 = 35.6646679072818
x43 = 8.63937979737193
x44 = 27.4889357189107
x45 = 24.3473430653209
x46 = -25.9181393921158
x47 = -13.3517687777566
x48 = -16.4933614313464
x49 = -27.167185164514
x50 = -83.7158529291303
x51 = 79.6469650575389
x52 = 54.5142238288206
x53 = 13.6735193321533
x54 = -39.7335557788732
x55 = 99.7455667514759
x56 = 90.3207887907066
x57 = -96.2822235434895
x58 = -35.3429173528852
x59 = -3.92699081698724
x60 = -77.4326676219507
x61 = -29.0597320457056
x62 = 77.7544181763474
x63 = -52.2999263932324
x64 = -38.484510006475
x65 = 76.5053724039491
x66 = -54.1924732744239
x67 = -41.6261026600648
x68 = 55.7632696012188
x69 = 2.35619449019234
x70 = 98.4965209790777
x71 = -76.1836218495525
x72 = 19.9567046393328
x73 = -68.0078896611814
x74 = 5.49778714378214
x75 = -30.3087778181038
x76 = -24.0255925109243
x77 = 60.7974091360002
x78 = 16.8151119857431
x79 = 74.6128255227576
x80 = -10.2101761241668
x81 = -46.0167410860528
x82 = -99.4238161970793
x83 = 92.2133356718981
x84 = 41.9478532144614
x85 = 70.2221870967695
x86 = 62.0464549083984
x87 = -61.7247043540018
x88 = -2.0344439357957
x89 = -93.1406308898997
x90 = 96.6039740978861
x91 = -63.6172512351933
x92 = 84.037603483527
x93 = -60.4756585816035
x93 = -60.4756585816035