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- La ecuación:
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Ecuación 6*x^2+x-7=0
-
Ecuación 2-5(3+2x)=17
-
Ecuación (6*x+8)/2+5=5*x/3
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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
- 4sin^ dos x+5sinxcosx-cos^2x=2
- 4 seno de al cuadrado x más 5 seno de x coseno de x menos coseno de al cuadrado x es igual a 2
- 4 seno de en el grado dos x más 5 seno de x coseno de x menos coseno de al cuadrado x es igual a 2
- 4sin2x+5sinxcosx-cos2x=2
- 4sin²x+5sinxcosx-cos²x=2
- 4sin en el grado 2x+5sinxcosx-cos en el grado 2x=2
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Expresiones semejantes
- 4sin^2x-5sinxcosx-cos^2x=2
- 4sin^2x+5sinxcosx+cos^2x=2
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Expresiones con funciones
- Coseno cos
- cos(2pi×x)-3sin(pi×x)+1=0
- cos(x+(|x|))=1
- cos(x-3/4)=0
- cos(x)=-0,7
- cos(y)=x-3
4sin^2x+5sinxcosx-cos^2x=2 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
2 2 4*sin (x) + 5*sin(x)*cos(x) - cos (x) = 2
$$\left(4 \sin^{2}{\left(x \right)} + 5 \sin{\left(x \right)} \cos{\left(x \right)}\right) - \cos^{2}{\left(x \right)} = 2$$
Respuesta rápida
[src]
/ ____\
|1 \/ 10 |
x1 = 2*atan|- - ------|
\3 3 /
$$x_{1} = 2 \operatorname{atan}{\left(\frac{1}{3} - \frac{\sqrt{10}}{3} \right)}$$
/ ____\
|1 \/ 10 |
x2 = 2*atan|- + ------|
\3 3 /
$$x_{2} = 2 \operatorname{atan}{\left(\frac{1}{3} + \frac{\sqrt{10}}{3} \right)}$$
/ ___\ x3 = -2*atan\2 - \/ 5 /
$$x_{3} = - 2 \operatorname{atan}{\left(2 - \sqrt{5} \right)}$$
/ ___\ x4 = -2*atan\2 + \/ 5 /
$$x_{4} = - 2 \operatorname{atan}{\left(2 + \sqrt{5} \right)}$$
x4 = -2*atan(2 + sqrt(5))
Suma y producto de raíces
[src]
suma
/ ____\ / ____\
|1 \/ 10 | |1 \/ 10 | / ___\ / ___\
2*atan|- - ------| + 2*atan|- + ------| - 2*atan\2 - \/ 5 / - 2*atan\2 + \/ 5 /
\3 3 / \3 3 /
$$- 2 \operatorname{atan}{\left(2 + \sqrt{5} \right)} + \left(- 2 \operatorname{atan}{\left(2 - \sqrt{5} \right)} + \left(2 \operatorname{atan}{\left(\frac{1}{3} - \frac{\sqrt{10}}{3} \right)} + 2 \operatorname{atan}{\left(\frac{1}{3} + \frac{\sqrt{10}}{3} \right)}\right)\right)$$
=
/ ____\ / ____\
/ ___\ / ___\ |1 \/ 10 | |1 \/ 10 |
- 2*atan\2 + \/ 5 / - 2*atan\2 - \/ 5 / + 2*atan|- - ------| + 2*atan|- + ------|
\3 3 / \3 3 /
$$- 2 \operatorname{atan}{\left(2 + \sqrt{5} \right)} + 2 \operatorname{atan}{\left(\frac{1}{3} - \frac{\sqrt{10}}{3} \right)} - 2 \operatorname{atan}{\left(2 - \sqrt{5} \right)} + 2 \operatorname{atan}{\left(\frac{1}{3} + \frac{\sqrt{10}}{3} \right)}$$
producto
/ ____\ / ____\
|1 \/ 10 | |1 \/ 10 | / ___\ / ___\
2*atan|- - ------|*2*atan|- + ------|*-2*atan\2 - \/ 5 /*-2*atan\2 + \/ 5 /
\3 3 / \3 3 /
$$2 \operatorname{atan}{\left(\frac{1}{3} - \frac{\sqrt{10}}{3} \right)} 2 \operatorname{atan}{\left(\frac{1}{3} + \frac{\sqrt{10}}{3} \right)} \left(- 2 \operatorname{atan}{\left(2 - \sqrt{5} \right)}\right) \left(- 2 \operatorname{atan}{\left(2 + \sqrt{5} \right)}\right)$$
=
/ ____\ / ____\
/ ___\ / ___\ |1 \/ 10 | |1 \/ 10 |
16*atan\2 + \/ 5 /*atan\2 - \/ 5 /*atan|- - ------|*atan|- + ------|
\3 3 / \3 3 /
$$16 \operatorname{atan}{\left(\frac{1}{3} - \frac{\sqrt{10}}{3} \right)} \operatorname{atan}{\left(\frac{1}{3} + \frac{\sqrt{10}}{3} \right)} \operatorname{atan}{\left(2 - \sqrt{5} \right)} \operatorname{atan}{\left(2 + \sqrt{5} \right)}$$
16*atan(2 + sqrt(5))*atan(2 - sqrt(5))*atan(1/3 - sqrt(10)/3)*atan(1/3 + sqrt(10)/3)
Respuesta numérica
[src]
x1 = 9.88842556977019
x2 = 27.0252881099099
x3 = -18.385908312538
x4 = 23.8836954563201
x5 = 61.5828072993976
x6 = 75.8618712951559
x7 = -20.098601693937
x8 = 50.7291300664375
x9 = 31.8795741448987
x10 = -35.806564961886
x11 = -42.0897502690656
x12 = 47.5875374128477
x13 = -15.2443156589482
x14 = -59.2266128092053
x15 = -73.5056768049635
x16 = 86.715548528116
x17 = 30.1668807634997
x18 = 22.4547961841294
x19 = -71.7929834235644
x20 = -4.39063842598805
x21 = -29.5233796547064
x22 = -62.3682054627951
x23 = 64.7243999529874
x24 = 36.4500660706793
x25 = -81.2177613843338
x26 = 67.8659926065772
x27 = 52.1580293386282
x28 = -95.496825380092
x29 = 60.1539080272069
x30 = 0.463647609000806
x31 = 99.2819191424751
x32 = 6.74683291618039
x33 = 44.4459447592579
x34 = -57.7977135370145
x35 = -51.5145282298349
x36 = -108.063195994451
x37 = 14.4589174955507
x38 = -70.3640841513737
x39 = -5.81953769817878
x40 = -64.0808988441941
x41 = 58.4412146458078
x42 = 89.8571411817058
x43 = 16.1716108769498
x44 = 39.5916587242691
x45 = 397.733221233506
x46 = -48.3729355762452
x47 = -1.24904577239825
x48 = -37.2354642340767
x49 = -26.3817870011166
x50 = -92.3552327265023
x51 = -65.5097981163849
x52 = 79.0034639487456
x53 = -27.8106862733073
x54 = -34.0938715804869
x55 = -7.53223107957784
x56 = -43.5186495412563
x57 = -93.784131998693
x58 = 8.17573218837112
x59 = -79.7888621121431
x60 = -56.0850201556155
x61 = 96.1403264888853
x62 = -40.3770568876665
x63 = -78.076168730744
x64 = -13.8154163867574
x65 = 83.5739558745262
x66 = 45.8748440314486
x67 = 17.6005101491405
x68 = 82.1450566023354
x69 = 1.89254688119154
x70 = 97.8530198702844
x71 = 66.4370933343865
x72 = 91.5698345631048
x73 = 25.5963888377192
x74 = 69.5786859879763
x75 = 38.1627594520783
x76 = -86.0720474193227
x77 = 72.7202786415661
x78 = -21.5275009661277
x79 = -100.067317305873
x80 = 80.4323632209364
x81 = 53.8707227200273
x82 = -49.8018348484359
x83 = 88.428241909515
x84 = 28.7379814913089
x85 = -84.3593540379236
x86 = -87.5009466915134
x87 = 3.6052402625906
x88 = 74.1491779137568
x89 = 94.7114272166946
x90 = -12.1027230053584
x90 = -12.1027230053584