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- La ecuación:
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Ecuación 2x^2-x-1=x^2-5x-(-1-x^2)
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Ecuación x^2+4=5x
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Ecuación x(x^2+2x+1)=6(x+1)
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Ecuación 4x+1=-3x+15
- Expresar {x} en función de y en la ecuación:
- -6*x-20*y=8
- 13*x-12*y=19
- -9*x+11*y=9
- -4*x-8*y=-20
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Expresiones idénticas
- 3sin(cero ,5x)+4cos(cero ,5x)= dos
- 3 seno de (0,5x) más 4 coseno de (0,5x) es igual a 2
- 3 seno de (cero ,5x) más 4 coseno de (cero ,5x) es igual a dos
- 3sin0,5x+4cos0,5x=2
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Expresiones semejantes
- 3sin(0,5x)-4cos(0,5x)=2
3sin(0,5x)+4cos(0,5x)=2 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
/x\ /x\
3*sin|-| + 4*cos|-| = 2
\2/ \2/
$$3 \sin{\left(\frac{x}{2} \right)} + 4 \cos{\left(\frac{x}{2} \right)} = 2$$
Respuesta rápida
[src]
/ ____\
|1 \/ 21 |
x1 = 4*atan|- - ------|
\2 6 /
$$x_{1} = 4 \operatorname{atan}{\left(\frac{1}{2} - \frac{\sqrt{21}}{6} \right)}$$
/ ____\
|1 \/ 21 |
x2 = 4*atan|- + ------|
\2 6 /
$$x_{2} = 4 \operatorname{atan}{\left(\frac{1}{2} + \frac{\sqrt{21}}{6} \right)}$$
x2 = 4*atan(1/2 + sqrt(21)/6)
Suma y producto de raíces
[src]
suma
/ ____\ / ____\
|1 \/ 21 | |1 \/ 21 |
4*atan|- - ------| + 4*atan|- + ------|
\2 6 / \2 6 /
$$4 \operatorname{atan}{\left(\frac{1}{2} - \frac{\sqrt{21}}{6} \right)} + 4 \operatorname{atan}{\left(\frac{1}{2} + \frac{\sqrt{21}}{6} \right)}$$
=
/ ____\ / ____\
|1 \/ 21 | |1 \/ 21 |
4*atan|- - ------| + 4*atan|- + ------|
\2 6 / \2 6 /
$$4 \operatorname{atan}{\left(\frac{1}{2} - \frac{\sqrt{21}}{6} \right)} + 4 \operatorname{atan}{\left(\frac{1}{2} + \frac{\sqrt{21}}{6} \right)}$$
producto
/ ____\ / ____\
|1 \/ 21 | |1 \/ 21 |
4*atan|- - ------|*4*atan|- + ------|
\2 6 / \2 6 /
$$4 \operatorname{atan}{\left(\frac{1}{2} - \frac{\sqrt{21}}{6} \right)} 4 \operatorname{atan}{\left(\frac{1}{2} + \frac{\sqrt{21}}{6} \right)}$$
=
/ ____\ / ____\
|1 \/ 21 | |1 \/ 21 |
16*atan|- - ------|*atan|- + ------|
\2 6 / \2 6 /
$$16 \operatorname{atan}{\left(\frac{1}{2} - \frac{\sqrt{21}}{6} \right)} \operatorname{atan}{\left(\frac{1}{2} + \frac{\sqrt{21}}{6} \right)}$$
16*atan(1/2 - sqrt(21)/6)*atan(1/2 + sqrt(21)/6)
Respuesta numérica
[src]
x1 = 53.8710436364781
x2 = -26.1642979725866
x3 = -13.5979273582274
x4 = -63.8634098156641
x5 = 28.7383024077597
x6 = 66.4374142508373
x7 = -101.562521658742
x8 = 91.5701554795556
x9 = -59.2262918927545
x10 = 229.800232237506
x11 = 41.3046730221189
x12 = -8.96080943531779
x13 = 61.8002963279276
x14 = -151.828004116178
x15 = -38.7306685869458
x16 = -76.4297804300233
x17 = 16.1719317934006
x18 = 11.5348138704909
x19 = 86.933037556646
x20 = -96.925403735832
x21 = 36.6675550992093
x22 = 74.3666669422868
x23 = -88.9961510443825
x24 = -84.3590331214728
x25 = -46.6599212783953
x26 = -202.093486573615
x27 = 3.60556117904139
x28 = -51.2970392013049
x29 = 99.4994081710051
x30 = -1.03155674386825
x31 = 112.065778785364
x32 = 24.1011844848501
x33 = 49.2339257135684
x34 = 79.0037848651964
x35 = -34.0935506640361
x36 = -71.7926625071136
x37 = -21.527180049677
x37 = -21.527180049677