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- La ecuación:
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Ecuación x^4+4=0
-
Ecuación x+7-x/3=3
-
Ecuación (x-1)/(5-x)=2/9
-
Ecuación 4*(x-3)=x+6
- Expresar {x} en función de y en la ecuación:
- 5*x+4*y=-12
- 5*x-13*y=17
- 4*x-11*y=-2
- -3*x-20*y=-13
-
Expresiones idénticas
- (cos*x-sqrt dos \2)(uno -sin*)x= cero
- ( coseno de multiplicar por x menos raíz cuadrada de 2\2)(1 menos seno de multiplicar por )x es igual a 0
- ( coseno de multiplicar por x menos raíz cuadrada de dos \2)(uno menos seno de multiplicar por )x es igual a cero
- (cos*x-√2\2)(1-sin*)x=0
- (cosx-sqrt2\2)(1-sin)x=0
- cosx-sqrt2\21-sinx=0
- (cos*x-sqrt2\2)(1-sin*)x=O
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Expresiones semejantes
- (cos*x-sqrt2\2)(1+sin*)x=0
- (cos*x+sqrt2\2)(1-sin*)x=0
-
Expresiones con funciones
- Coseno cos
- cos(x)=(-1/2)
- cos(x)+sin(x)=1
- cos(-x)=1
- cos(x+(pi/6))=1
- cos(3*x)=0
- Seno sin
- sin(x)=pi/2
- sin(x)=4
- sin(2*x)+3=3*sin(x)+3*cos(x)
- sin2x=0
- sin(3*x-pi/6)=1/2
(cos*x-sqrt2\2)(1-sin*)x=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
/ ___\ | \/ 2 | |cos(x) - -----|*(1 - sin(x))*x = 0 \ 2 /
$$x \left(1 - \sin{\left(x \right)}\right) \left(\cos{\left(x \right)} - \frac{\sqrt{2}}{2}\right) = 0$$
Suma y producto de raíces
[src]
suma
/ ___________\ / ___________\
| / ___ | | / ___ |
pi |\/ 2 - \/ 2 | |\/ 2 - \/ 2 |
-- - 2*atan|--------------| + 2*atan|--------------|
2 | ___________| | ___________|
| / ___ | | / ___ |
\\/ 2 + \/ 2 / \\/ 2 + \/ 2 /
$$\left(- 2 \operatorname{atan}{\left(\frac{\sqrt{2 - \sqrt{2}}}{\sqrt{\sqrt{2} + 2}} \right)} + \frac{\pi}{2}\right) + 2 \operatorname{atan}{\left(\frac{\sqrt{2 - \sqrt{2}}}{\sqrt{\sqrt{2} + 2}} \right)}$$
=
pi -- 2
$$\frac{\pi}{2}$$
producto
/ ___________\ / ___________\
| / ___ | | / ___ |
pi |\/ 2 - \/ 2 | |\/ 2 - \/ 2 |
0*--*-2*atan|--------------|*2*atan|--------------|
2 | ___________| | ___________|
| / ___ | | / ___ |
\\/ 2 + \/ 2 / \\/ 2 + \/ 2 /
$$0 \frac{\pi}{2} \left(- 2 \operatorname{atan}{\left(\frac{\sqrt{2 - \sqrt{2}}}{\sqrt{\sqrt{2} + 2}} \right)}\right) 2 \operatorname{atan}{\left(\frac{\sqrt{2 - \sqrt{2}}}{\sqrt{\sqrt{2} + 2}} \right)}$$
=
0
$$0$$
0
Respuesta rápida
[src]
x1 = 0
$$x_{1} = 0$$
pi
x2 = --
2
$$x_{2} = \frac{\pi}{2}$$
/ ___________\
| / ___ |
|\/ 2 - \/ 2 |
x3 = -2*atan|--------------|
| ___________|
| / ___ |
\\/ 2 + \/ 2 /
$$x_{3} = - 2 \operatorname{atan}{\left(\frac{\sqrt{2 - \sqrt{2}}}{\sqrt{\sqrt{2} + 2}} \right)}$$
/ ___________\
| / ___ |
|\/ 2 - \/ 2 |
x4 = 2*atan|--------------|
| ___________|
| / ___ |
\\/ 2 + \/ 2 /
$$x_{4} = 2 \operatorname{atan}{\left(\frac{\sqrt{2 - \sqrt{2}}}{\sqrt{\sqrt{2} + 2}} \right)}$$
x4 = 2*atan(sqrt(2 - sqrt(2))/sqrt(sqrt(2) + 2))
Respuesta numérica
[src]
x1 = 7.85398177873642
x2 = -55.7632696012188
x3 = 24.3473430653209
x4 = -69.9004365423729
x5 = 76.1836218495525
x6 = -43.1968989868597
x7 = -62.0464549083984
x8 = 1.57079745555207
x9 = -51.0508806208341
x10 = -49.4800842940392
x11 = 36.9137136796801
x12 = 80.8960108299372
x13 = 51.0508806208341
x14 = 74.6128255227576
x15 = 87.1791961371168
x16 = -36.9137136796801
x17 = -13.3517687777566
x18 = 43.1968989868597
x19 = -92.6769833057172
x20 = 82.4668071567321
x21 = 18.0641577581413
x22 = 11.7809724509617
x23 = 32.2013246992954
x24 = 69.9004365423729
x25 = 57.3340659280137
x26 = 1.57079684580052
x27 = 99.7455667514759
x28 = 88.7499924639117
x29 = -93.4623814442964
x30 = -7.06858347057703
x31 = -87.1791961371168
x32 = 55.7632696012188
x33 = -63.6172512351933
x34 = -99.7455667514759
x35 = 95.0331777710912
x36 = 38.484510006475
x37 = -32.2013246992954
x38 = -36.1283153917881
x39 = 30.6305283725005
x40 = -0.785398163397448
x41 = 95.8185761073974
x42 = -80.8960108299372
x43 = -5.49778714378214
x44 = -80.1106125574569
x45 = 20.4203521955485
x46 = -73.8274272564917
x47 = -88.7499924639117
x48 = -29.8451300493415
x49 = 14.1371667909216
x50 = -11.7809724509617
x51 = -95.0331777710912
x52 = -76.1836218495525
x53 = -67.5442420967524
x54 = 44.7676953136546
x55 = -44.7676953136546
x56 = -30.6305283725005
x57 = 51.8362789416358
x58 = 7.8539814573125
x59 = -4.71238844046824
x60 = 62.0464549083984
x61 = 25.9181393921158
x62 = 64.4026493440481
x63 = -18.0641577581413
x64 = -57.3340659280137
x65 = -25.9181393921158
x66 = 68.329640215578
x67 = 0.0
x68 = -73.8274274002394
x69 = 14.1371666977249
x70 = -23.5619449543311
x71 = -19.6349540849362
x71 = -19.6349540849362