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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
-
Ecuación 2,6x-0,75=0,9x-35,6
- Expresar {x} en función de y en la ecuación:
- -9*x-12*y=-19
- -8*x+3*y=-4
- 10*x+3*y=2
- -10*x-12*y=-10
-
Expresiones idénticas
- cinco *sin(x)^(dos)+ dos *sin(x)*cos(x)- tres *cos(x)^(dos)= dos
- 5 multiplicar por seno de (x) en el grado (2) más 2 multiplicar por seno de (x) multiplicar por coseno de (x) menos 3 multiplicar por coseno de (x) en el grado (2) es igual a 2
- cinco multiplicar por seno de (x) en el grado (dos) más dos multiplicar por seno de (x) multiplicar por coseno de (x) menos tres multiplicar por coseno de (x) en el grado (dos) es igual a dos
- 5*sin(x)(2)+2*sin(x)*cos(x)-3*cos(x)(2)=2
- 5*sinx2+2*sinx*cosx-3*cosx2=2
- 5sin(x)^(2)+2sin(x)cos(x)-3cos(x)^(2)=2
- 5sin(x)(2)+2sin(x)cos(x)-3cos(x)(2)=2
- 5sinx2+2sinxcosx-3cosx2=2
- 5sinx^2+2sinxcosx-3cosx^2=2
-
Expresiones semejantes
- 5*sin(x)^(2)+2*sin(x)*cos(x)+3*cos(x)^(2)=2
- 5*sin(x)^(2)-2*sin(x)*cos(x)-3*cos(x)^(2)=2
- 5*sinx^(2)+2*sinx*cosx-3*cosx^(2)=2
-
Expresiones con funciones
- Seno sin
- sin2x-3sinx-a=|sin2x+sinx+a|
- sin2x+4((cosx)^2)=1
- sin^2x-0.5sinx-0.5=0
- sin(cos(x))=2
- sin((3*pi)/x^2)=-1/2
- Seno sin
- sin2x-3sinx-a=|sin2x+sinx+a|
- sin2x+4((cosx)^2)=1
- sin^2x-0.5sinx-0.5=0
- sin(cos(x))=2
- sin((3*pi)/x^2)=-1/2
- 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
- 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
5*sin(x)^(2)+2*sin(x)*cos(x)-3*cos(x)^(2)=2 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
2 2 5*sin (x) + 2*sin(x)*cos(x) - 3*cos (x) = 2
$$\left(5 \sin^{2}{\left(x \right)} + 2 \sin{\left(x \right)} \cos{\left(x \right)}\right) - 3 \cos^{2}{\left(x \right)} = 2$$
Respuesta rápida
[src]
-3*pi
x1 = -----
4
$$x_{1} = - \frac{3 \pi}{4}$$
pi
x2 = --
4
$$x_{2} = \frac{\pi}{4}$$
/ ____\
|3 \/ 34 |
x3 = 2*atan|- - ------|
\5 5 /
$$x_{3} = 2 \operatorname{atan}{\left(\frac{3}{5} - \frac{\sqrt{34}}{5} \right)}$$
/ ____\
|3 \/ 34 |
x4 = 2*atan|- + ------|
\5 5 /
$$x_{4} = 2 \operatorname{atan}{\left(\frac{3}{5} + \frac{\sqrt{34}}{5} \right)}$$
x4 = 2*atan(3/5 + sqrt(34)/5)
Suma y producto de raíces
[src]
suma
/ ____\ / ____\ 3*pi pi |3 \/ 34 | |3 \/ 34 | - ---- + -- + 2*atan|- - ------| + 2*atan|- + ------| 4 4 \5 5 / \5 5 /
$$\left(\left(- \frac{3 \pi}{4} + \frac{\pi}{4}\right) + 2 \operatorname{atan}{\left(\frac{3}{5} - \frac{\sqrt{34}}{5} \right)}\right) + 2 \operatorname{atan}{\left(\frac{3}{5} + \frac{\sqrt{34}}{5} \right)}$$
=
/ ____\ / ____\
|3 \/ 34 | |3 \/ 34 | pi
2*atan|- - ------| + 2*atan|- + ------| - --
\5 5 / \5 5 / 2
$$- \frac{\pi}{2} + 2 \operatorname{atan}{\left(\frac{3}{5} - \frac{\sqrt{34}}{5} \right)} + 2 \operatorname{atan}{\left(\frac{3}{5} + \frac{\sqrt{34}}{5} \right)}$$
producto
/ ____\ / ____\ -3*pi pi |3 \/ 34 | |3 \/ 34 | -----*--*2*atan|- - ------|*2*atan|- + ------| 4 4 \5 5 / \5 5 /
$$- \frac{3 \pi}{4} \frac{\pi}{4} \cdot 2 \operatorname{atan}{\left(\frac{3}{5} - \frac{\sqrt{34}}{5} \right)} 2 \operatorname{atan}{\left(\frac{3}{5} + \frac{\sqrt{34}}{5} \right)}$$
=
/ ____\ / ____\
2 |3 \/ 34 | |3 \/ 34 |
-3*pi *atan|- - ------|*atan|- + ------|
\5 5 / \5 5 /
----------------------------------------
4
$$- \frac{3 \pi^{2} \operatorname{atan}{\left(\frac{3}{5} - \frac{\sqrt{34}}{5} \right)} \operatorname{atan}{\left(\frac{3}{5} + \frac{\sqrt{34}}{5} \right)}}{4}$$
-3*pi^2*atan(3/5 - sqrt(34)/5)*atan(3/5 + sqrt(34)/5)/4
Respuesta numérica
[src]
x1 = 25.9181393921158
x2 = -63.8622298983202
x3 = 11.5359937878349
x4 = -99.7455667514759
x5 = 80.6510321668103
x6 = 22.776546738526
x7 = -90.3207887907066
x8 = -98.4197490878079
x9 = -65.1880475619882
x10 = 30.3855497093736
x11 = -70.1454152054998
x12 = -26.1631180552427
x13 = 82.4668071567321
x14 = 38.484510006475
x15 = -19.8799327480631
x16 = 52.3766982845022
x17 = 39.810327670143
x18 = -77.7544181763474
x19 = 77.5094395132205
x20 = -5.49778714378214
x21 = 76.1836218495525
x22 = 54.1924732744239
x23 = -62.0464549083984
x24 = -167.534787466783
x25 = -35.587896016012
x26 = 91.8915851175014
x27 = 63.6172512351933
x28 = 85.6083998103219
x29 = -33.7721210260903
x30 = 10.2101761241668
x31 = 17.8191790950144
x32 = -87.1791961371168
x33 = -57.5790445911406
x34 = 0.785398163397448
x35 = -92.1365637806283
x36 = 55.518290938092
x37 = 88.7499924639117
x38 = -40.0553063332699
x39 = 68.0846615524511
x40 = -76.4286005126794
x41 = 2.11121582706548
x42 = 98.174770424681
x43 = -85.8533784734487
x44 = 8.39440113424507
x45 = 90.0758101275797
x46 = -24.3473430653209
x47 = 46.0935129773226
x48 = 331.978444453994
x49 = -48.1542666303712
x50 = 16.4933614313464
x51 = 3.92699081698724
x52 = -10.4551547872937
x53 = -46.3384916404494
x54 = 74.3678468596307
x55 = -32.4463033624222
x56 = -93.4623814442964
x57 = -2.35619449019234
x58 = 41.6261026600648
x59 = -767.578984302434
x60 = -55.7632696012188
x61 = -54.4374519375508
x62 = -27.4889357189107
x63 = -84.037603483527
x64 = 33.5271423629634
x65 = 44.7676953136546
x66 = -7.3135621337039
x67 = 83.7926248204001
x68 = -11.7809724509617
x69 = 14.6775864414247
x70 = 36.6687350165532
x71 = -71.4712328691678
x72 = 32.2013246992954
x73 = -49.4800842940392
x74 = 96.3589954347593
x75 = -79.5701931662691
x76 = -41.8710813231916
x77 = -4.17196948011411
x78 = 61.8014762452716
x79 = 24.102364402194
x80 = 58.6598835916818
x81 = -43.1968989868597
x82 = 60.4756585816035
x83 = 47.9092879672443
x84 = 69.9004365423729
x85 = -68.329640215578
x86 = -13.5967474408835
x87 = 99.5005880883491
x88 = 66.7588438887831
x89 = 19.6349540849362
x90 = -21.2057504117311
x91 = -18.0641577581413
x91 = -18.0641577581413