Sr Examen
Otras calculadoras
-
¿Cómo usar?
- La ecuación:
-
Ecuación 3x-2(3x+4)=10
-
Ecuación x(x^2+2x+1)=6(x+1)
-
Ecuación 4x+1=-3x+15
-
Ecuación 6*3+x=72
- Expresar {x} en función de y en la ecuación:
- 7*x-1*y=0
- -18*x-6*y=-1
- 13*x-12*y=19
- 6*x+9*y=-9
-
Expresiones idénticas
- Sin^2x+9sinxcosx+14cos^2x= cero
- Sin al cuadrado x más 9 seno de x coseno de x más 14 coseno de al cuadrado x es igual a 0
- Sin al cuadrado x más 9 seno de x coseno de x más 14 coseno de al cuadrado x es igual a cero
- Sin2x+9sinxcosx+14cos2x=0
- Sin²x+9sinxcosx+14cos²x=0
- Sin en el grado 2x+9sinxcosx+14cos en el grado 2x=0
- Sin^2x+9sinxcosx+14cos^2x=O
-
Expresiones semejantes
- Sin^2x+9sinxcosx-14cos^2x=0
- Sin^2x-9sinxcosx+14cos^2x=0
Sin^2x+9sinxcosx+14cos^2x=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
2 2 sin (x) + 9*sin(x)*cos(x) + 14*cos (x) = 0
$$\left(\sin^{2}{\left(x \right)} + 9 \sin{\left(x \right)} \cos{\left(x \right)}\right) + 14 \cos^{2}{\left(x \right)} = 0$$
Respuesta rápida
[src]
/ ___\
|1 5*\/ 2 |
x1 = 2*atan|- - -------|
\7 7 /
$$x_{1} = 2 \operatorname{atan}{\left(\frac{1}{7} - \frac{5 \sqrt{2}}{7} \right)}$$
/ ___\
|1 5*\/ 2 |
x2 = 2*atan|- + -------|
\7 7 /
$$x_{2} = 2 \operatorname{atan}{\left(\frac{1}{7} + \frac{5 \sqrt{2}}{7} \right)}$$
/ ___\
|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
/ ___\ / ___\ / ___\ / ___\
|1 5*\/ 2 | |1 5*\/ 2 | |1 \/ 5 | |1 \/ 5 |
2*atan|- - -------| + 2*atan|- + -------| + 2*atan|- - -----| + 2*atan|- + -----|
\7 7 / \7 7 / \2 2 / \2 2 /
$$\left(2 \operatorname{atan}{\left(\frac{1}{2} - \frac{\sqrt{5}}{2} \right)} + \left(2 \operatorname{atan}{\left(\frac{1}{7} - \frac{5 \sqrt{2}}{7} \right)} + 2 \operatorname{atan}{\left(\frac{1}{7} + \frac{5 \sqrt{2}}{7} \right)}\right)\right) + 2 \operatorname{atan}{\left(\frac{1}{2} + \frac{\sqrt{5}}{2} \right)}$$
=
/ ___\ / ___\ / ___\ / ___\
|1 \/ 5 | |1 \/ 5 | |1 5*\/ 2 | |1 5*\/ 2 |
2*atan|- + -----| + 2*atan|- - -----| + 2*atan|- - -------| + 2*atan|- + -------|
\2 2 / \2 2 / \7 7 / \7 7 /
$$2 \operatorname{atan}{\left(\frac{1}{7} - \frac{5 \sqrt{2}}{7} \right)} + 2 \operatorname{atan}{\left(\frac{1}{2} - \frac{\sqrt{5}}{2} \right)} + 2 \operatorname{atan}{\left(\frac{1}{7} + \frac{5 \sqrt{2}}{7} \right)} + 2 \operatorname{atan}{\left(\frac{1}{2} + \frac{\sqrt{5}}{2} \right)}$$
producto
/ ___\ / ___\ / ___\ / ___\
|1 5*\/ 2 | |1 5*\/ 2 | |1 \/ 5 | |1 \/ 5 |
2*atan|- - -------|*2*atan|- + -------|*2*atan|- - -----|*2*atan|- + -----|
\7 7 / \7 7 / \2 2 / \2 2 /
$$2 \operatorname{atan}{\left(\frac{1}{7} - \frac{5 \sqrt{2}}{7} \right)} 2 \operatorname{atan}{\left(\frac{1}{7} + \frac{5 \sqrt{2}}{7} \right)} 2 \operatorname{atan}{\left(\frac{1}{2} - \frac{\sqrt{5}}{2} \right)} 2 \operatorname{atan}{\left(\frac{1}{2} + \frac{\sqrt{5}}{2} \right)}$$
=
/ ___\ / ___\ / ___\ / ___\
|1 \/ 5 | |1 \/ 5 | |1 5*\/ 2 | |1 5*\/ 2 |
16*atan|- + -----|*atan|- - -----|*atan|- - -------|*atan|- + -------|
\2 2 / \2 2 / \7 7 / \7 7 /
$$16 \operatorname{atan}{\left(\frac{1}{7} - \frac{5 \sqrt{2}}{7} \right)} \operatorname{atan}{\left(\frac{1}{7} + \frac{5 \sqrt{2}}{7} \right)} \operatorname{atan}{\left(\frac{1}{2} - \frac{\sqrt{5}}{2} \right)} \operatorname{atan}{\left(\frac{1}{2} + \frac{\sqrt{5}}{2} \right)}$$
16*atan(1/2 + sqrt(5)/2)*atan(1/2 - sqrt(5)/2)*atan(1/7 - 5*sqrt(2)/7)*atan(1/7 + 5*sqrt(2)/7)
Respuesta numérica
[src]
x1 = 92.8188803355031
x2 = 71.1494823147711
x3 = 4.85428603498885
x4 = -63.93900178959
x5 = -60.7974091360002
x6 = -82.7885577111287
x7 = 11.4592218965651
x8 = 99.1020656426826
x9 = -29.7032331544989
x10 = 89.9990382363099
x11 = 36.2702125708868
x12 = 4164.64470994227
x13 = 7.99587868857865
x14 = 49.1583337396426
x15 = 46.0167410860528
x16 = -48.231038521641
x17 = -83.1103082655254
x18 = -13.9952698865499
x19 = -41.9478532144614
x20 = 77.4326676219507
x21 = -23.4200478473193
x22 = -10.5319266785635
x23 = -61.1191596903968
x24 = -76.5053724039491
x25 = -98.4965209790777
x26 = 11.1374713421684
x27 = 5980.16351316278
x28 = -76.8271229583458
x29 = -85.9301503647185
x30 = 2.0344439357957
x31 = -36943.4169128346
x32 = 83.7158529291303
x33 = -73.3637797503593
x34 = 86.5356950283235
x35 = 5.1760365893855
x36 = -32.523075253692
x37 = -95.6766788798845
x38 = -73.685530304756
x39 = -67.4023449975764
x40 = 39.7335557788732
x41 = 61.7247043540018
x42 = 55.1197684924255
x43 = 70.8277317603745
x44 = 24.0255925109243
x45 = 99.4238161970793
x46 = -92.2133356718981
x47 = 27.167185164514
x48 = 96.2822235434895
x49 = -16.8151119857431
x50 = 26.8454346101174
x51 = 80.2525097211439
x52 = 29.9870272637072
x53 = 20.8839998573345
x54 = 93.1406308898997
x55 = -23.0982972929226
x56 = 17.7424072037447
x57 = 55.4415190468222
x58 = -79.9687156119356
x59 = 58.2613611460153
x60 = -89.3934935727049
x61 = 52.2999263932324
x62 = -161.65012460527
x63 = 64.5445464531949
x64 = -51.6943817296274
x65 = -70.2221870967695
x66 = 68.0078896611814
x67 = 77.1109170675541
x68 = -54.8359743832172
x69 = -39.1280111152683
x70 = -35.9864184616785
x71 = 14.2790639957582
x72 = -1.42889927219073
x73 = -17.1368625401397
x74 = -38.8062605608716
x75 = 20.5622493029378
x76 = 33.128619917297
x77 = 74.2910749683609
x78 = -57.977567036807
x79 = -7.71208457937032
x80 = -4.24874137138388
x81 = 48.836583185246
x82 = -45.4111964224478
x83 = 42.5533978780664
x84 = 33.4503704716936
x85 = -10.8536772329601
x86 = -19.9567046393328
x87 = -26.2398899465124
x88 = -54.5142238288206
x88 = -54.5142238288206