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- La ecuación:
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Ecuación x^2+5x=36
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Ecuación 3*x=8
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Ecuación 9-7(x+3)=5-6x
-
Ecuación 4x-5=3+2(x+1)
- Expresar {x} en función de y en la ecuación:
- -17*x+2*y=9
- 10*x-15*y=16
- -17*x+2*y=-4
- -2*x-19*y=3
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Expresiones idénticas
- 5sinxcosx+14cos^2x= cero
- 5 seno de x coseno de x más 14 coseno de al cuadrado x es igual a 0
- 5 seno de x coseno de x más 14 coseno de al cuadrado x es igual a cero
- 5sinxcosx+14cos2x=0
- 5sinxcosx+14cos²x=0
- 5sinxcosx+14cos en el grado 2x=0
- 5sinxcosx+14cos^2x=O
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Expresiones semejantes
- 5sinxcosx-14cos^2x=0
5sinxcosx+14cos^2x=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
2 5*sin(x)*cos(x) + 14*cos (x) = 0
$$5 \sin{\left(x \right)} \cos{\left(x \right)} + 14 \cos^{2}{\left(x \right)} = 0$$
Respuesta rápida
[src]
-pi
x1 = ----
2
$$x_{1} = - \frac{\pi}{2}$$
pi
x2 = --
2
$$x_{2} = \frac{\pi}{2}$$
/ _____\
|5 \/ 221 |
x3 = 2*atan|-- - -------|
\14 14 /
$$x_{3} = 2 \operatorname{atan}{\left(\frac{5}{14} - \frac{\sqrt{221}}{14} \right)}$$
/ _____\
|5 \/ 221 |
x4 = 2*atan|-- + -------|
\14 14 /
$$x_{4} = 2 \operatorname{atan}{\left(\frac{5}{14} + \frac{\sqrt{221}}{14} \right)}$$
x4 = 2*atan(5/14 + sqrt(221)/14)
Suma y producto de raíces
[src]
suma
/ _____\ / _____\ pi pi |5 \/ 221 | |5 \/ 221 | - -- + -- + 2*atan|-- - -------| + 2*atan|-- + -------| 2 2 \14 14 / \14 14 /
$$\left(2 \operatorname{atan}{\left(\frac{5}{14} - \frac{\sqrt{221}}{14} \right)} + \left(- \frac{\pi}{2} + \frac{\pi}{2}\right)\right) + 2 \operatorname{atan}{\left(\frac{5}{14} + \frac{\sqrt{221}}{14} \right)}$$
=
/ _____\ / _____\
|5 \/ 221 | |5 \/ 221 |
2*atan|-- - -------| + 2*atan|-- + -------|
\14 14 / \14 14 /
$$2 \operatorname{atan}{\left(\frac{5}{14} - \frac{\sqrt{221}}{14} \right)} + 2 \operatorname{atan}{\left(\frac{5}{14} + \frac{\sqrt{221}}{14} \right)}$$
producto
/ _____\ / _____\ -pi pi |5 \/ 221 | |5 \/ 221 | ----*--*2*atan|-- - -------|*2*atan|-- + -------| 2 2 \14 14 / \14 14 /
$$- \frac{\pi}{2} \frac{\pi}{2} \cdot 2 \operatorname{atan}{\left(\frac{5}{14} - \frac{\sqrt{221}}{14} \right)} 2 \operatorname{atan}{\left(\frac{5}{14} + \frac{\sqrt{221}}{14} \right)}$$
=
/ _____\ / _____\
2 |5 \/ 221 | |5 \/ 221 |
-pi *atan|-- - -------|*atan|-- + -------|
\14 14 / \14 14 /
$$- \pi^{2} \operatorname{atan}{\left(\frac{5}{14} - \frac{\sqrt{221}}{14} \right)} \operatorname{atan}{\left(\frac{5}{14} + \frac{\sqrt{221}}{14} \right)}$$
-pi^2*atan(5/14 - sqrt(221)/14)*atan(5/14 + sqrt(221)/14)
Respuesta numérica
[src]
x1 = -23.5619449019235
x2 = -29.845130209103
x3 = 89.8784145677298
x4 = 17.6217835351646
x5 = -48.3516621902211
x6 = 42.4115008234622
x7 = 4.71238898038469
x8 = -35.7852915758619
x9 = 36.1283155162826
x10 = 10.9955742875643
x11 = -17.2787595947439
x12 = 26.7035375555132
x13 = 54.9778714378214
x14 = -92.3339593404782
x15 = 45.8961174174727
x16 = 86.3937979737193
x17 = 11.338598227985
x18 = 23.9049688423442
x19 = 64.4026493985908
x20 = -83.2522053201295
x21 = 98.9601685880785
x22 = -95.8185759344887
x23 = -1.5707963267949
x24 = 8.19700557439519
x25 = -39.2699081698724
x26 = -32.9867228626928
x27 = -86.0507740332986
x28 = 70.6858347057703
x29 = -32.6436989222721
x30 = 39.6129321102931
x31 = -76.6259960725292
x32 = 1.9138202672156
x33 = -42.4115008234622
x34 = -51.8362787842316
x35 = -54.6348474974007
x36 = 58.1194640914112
x37 = -73.8274273593601
x38 = -136.659280431156
x39 = -45.553093477052
x40 = 80.1106126665397
x41 = -20.077328307913
x42 = -64.0596254581701
x43 = 61.6040806854217
x44 = 77.3120439533706
x45 = -4.36936503996399
x46 = 32.9867228626928
x47 = -10.9955742875643
x48 = -67.5442420521806
x49 = 52.1793027246523
x50 = -57.7764401509905
x51 = -7.85398163397448
x52 = 48.6946861306418
x53 = -26.3605136150925
x54 = 76.9690200129499
x55 = -98.6171446476578
x56 = -4.71238898038469
x57 = 4334.17008956754
x58 = 99.3031925284992
x59 = -98.9601685880785
x60 = 83.5952292605502
x61 = -16.9357356543232
x62 = -42.0684768830415
x63 = -79.767588726119
x64 = 14.1371669411541
x65 = 30.1881541495237
x66 = 33.3297468031135
x67 = -10.6525503471436
x68 = 20.4203522483337
x69 = 67.8872659926013
x70 = -54.9778714378214
x71 = -89.5353906273091
x72 = 96.1615998749094
x73 = -252.555184673558
x74 = 92.6769832808989
x75 = 55.3208953782421
x76 = -76.9690200129499
x77 = -70.3428107653496
x78 = -13.7941430007334
x79 = -61.261056745001
x80 = 74.1704512997809
x80 = 74.1704512997809