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- La ecuación:
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Ecuación x^4+2*x^2-8=0
-
Ecuación x*(x^2+8*x+16)=5*(x+4)
-
Ecuación -25-x=-17
-
Ecuación x^2+3x=4
- Expresar {x} en función de y en la ecuación:
- -18*x-2*y=9
- -14*x+10*y=19
- -9*x+1*y=3
- -17*x+1*y=-11
-
Expresiones idénticas
- cos(x)+sqrt((dos -sqrt(dos))/ dos)*(sinx+ uno)= cero
- coseno de (x) más raíz cuadrada de ((2 menos raíz cuadrada de (2)) dividir por 2) multiplicar por ( seno de x más 1) es igual a 0
- coseno de (x) más raíz cuadrada de ((dos menos raíz cuadrada de (dos)) dividir por dos) multiplicar por ( seno de x más uno) es igual a cero
- cos(x)+√((2-√(2))/2)*(sinx+1)=0
- cos(x)+sqrt((2-sqrt(2))/2)(sinx+1)=0
- cosx+sqrt2-sqrt2/2sinx+1=0
- cos(x)+sqrt((2-sqrt(2))/2)*(sinx+1)=O
- cos(x)+sqrt((2-sqrt(2)) dividir por 2)*(sinx+1)=0
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Expresiones semejantes
- cos(x)+sqrt((2-sqrt2)/2)*(sin(x)+1)=0
- cos(x)+sqrt((2-sqrt(2))/2)*(sinx-1)=0
- cos(x)-sqrt((2-sqrt(2))/2)*(sinx+1)=0
- cos(x)+sqrt((2+sqrt(2))/2)*(sinx+1)=0
- cosx+sqrt((2-sqrt(2))/2)*(sinx+1)=0
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Expresiones con funciones
- Coseno cos
- cos(x)=sqrt(3)
- cos2x=1/2
- cos(2*x)+3*sin(x)-2=0
- cos(2*x)+sqrt(2)*sin(x)+1=0
- cos(pi+x)=1/2
- Raíz cuadrada sqrt
- sqrt(2*x+3)=x
- sqrt(-72+17*x)=x
- sqrt(6+x-x^2)=1-x
- sqrt(cos(x)-1)=0
- sqrt(x+3)=x+3
- Raíz cuadrada sqrt
- sqrt(2*x+3)=x
- sqrt(-72+17*x)=x
- sqrt(6+x-x^2)=1-x
- sqrt(cos(x)-1)=0
- sqrt(x+3)=x+3
- sinx
- sinx=0,13
- sinx*cosx=-cbrt(2)/4
- sinx+12=1
- Sinx+√3Cosx=0
- sinx
cos(x)+sqrt((2-sqrt(2))/2)*(sinx+1)=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
___________
/ ___
/ 2 - \/ 2
cos(x) + / --------- *(sin(x) + 1) = 0
\/ 2
$$\sqrt{\frac{2 - \sqrt{2}}{2}} \left(\sin{\left(x \right)} + 1\right) + \cos{\left(x \right)} = 0$$
Respuesta rápida
[src]
-pi
x1 = ----
2
$$x_{1} = - \frac{\pi}{2}$$
/ ___________\
| ___ / ___ |
|\/ 2 + \/ 2 - \/ 2 |
x2 = 2*atan|----------------------|
| ___________|
| ___ / ___ |
\\/ 2 - \/ 2 - \/ 2 /
$$x_{2} = 2 \operatorname{atan}{\left(\frac{\sqrt{2 - \sqrt{2}} + \sqrt{2}}{- \sqrt{2 - \sqrt{2}} + \sqrt{2}} \right)}$$
x2 = 2*atan((sqrt(2 - sqrt(2)) + sqrt(2))/(-sqrt(2 - sqrt(2)) + sqrt(2)))
Suma y producto de raíces
[src]
suma
/ ___________\
| ___ / ___ |
pi |\/ 2 + \/ 2 - \/ 2 |
- -- + 2*atan|----------------------|
2 | ___________|
| ___ / ___ |
\\/ 2 - \/ 2 - \/ 2 /
$$- \frac{\pi}{2} + 2 \operatorname{atan}{\left(\frac{\sqrt{2 - \sqrt{2}} + \sqrt{2}}{- \sqrt{2 - \sqrt{2}} + \sqrt{2}} \right)}$$
=
/ ___________\
| ___ / ___ |
|\/ 2 + \/ 2 - \/ 2 | pi
2*atan|----------------------| - --
| ___________| 2
| ___ / ___ |
\\/ 2 - \/ 2 - \/ 2 /
$$- \frac{\pi}{2} + 2 \operatorname{atan}{\left(\frac{\sqrt{2 - \sqrt{2}} + \sqrt{2}}{- \sqrt{2 - \sqrt{2}} + \sqrt{2}} \right)}$$
producto
/ ___________\
| ___ / ___ |
-pi |\/ 2 + \/ 2 - \/ 2 |
----*2*atan|----------------------|
2 | ___________|
| ___ / ___ |
\\/ 2 - \/ 2 - \/ 2 /
$$- \frac{\pi}{2} \cdot 2 \operatorname{atan}{\left(\frac{\sqrt{2 - \sqrt{2}} + \sqrt{2}}{- \sqrt{2 - \sqrt{2}} + \sqrt{2}} \right)}$$
=
/ ___________\
| ___ / ___ |
|\/ 2 + \/ 2 - \/ 2 |
-pi*atan|----------------------|
| ___________|
| ___ / ___ |
\\/ 2 - \/ 2 - \/ 2 /
$$- \pi \operatorname{atan}{\left(\frac{\sqrt{2 - \sqrt{2}} + \sqrt{2}}{- \sqrt{2 - \sqrt{2}} + \sqrt{2}} \right)}$$
-pi*atan((sqrt(2) + sqrt(2 - sqrt(2)))/(sqrt(2) - sqrt(2 - sqrt(2))))
Respuesta numérica
[src]
x1 = 48.6946861306418
x2 = 92.6769832808989
x3 = 86.3937979737193
x4 = -66.552124329879
x5 = -7.85398163397448
x6 = 52.8283965065331
x7 = -430.976872146295
x8 = -64.4026493985908
x9 = -58.1194640914112
x10 = -47.7025684083402
x11 = -83.2522053201295
x12 = -20.4203522483337
x13 = 54.9778714378214
x14 = 15.1292846634556
x15 = -3.72027125808313
x16 = 111.526539202438
x17 = 23.5619449019235
x18 = -45.553093477052
x19 = 8.84609935627604
x20 = 67.5442420521806
x21 = 40.262025892174
x22 = -72.8353096370586
x23 = -51.8362787842316
x24 = 80.1106126665397
x25 = 84.2443230424311
x26 = -39.2699081698724
x27 = 65.3947671208923
x28 = 46.5452111993536
x29 = 4.71238898038469
x30 = 36.1283155162826
x31 = -70.6858347057703
x32 = 71.6779524280719
x33 = -79.1184949442382
x34 = 42.4115008234622
x35 = -35.1361977939811
x36 = -85.4016802514178
x37 = 10.9955742875643
x38 = 98.9601685880785
x39 = 59.1115818137127
x40 = -221.48228207808
x41 = 77.9611377352515
x42 = -22.5698271796219
x43 = 17.2787595947439
x44 = -60.2689390226994
x45 = -95.8185759344887
x46 = 2.56291404909646
x47 = -28.8530124868015
x48 = 27.6956552778148
x49 = 73.8274273593601
x50 = 90.5275083496107
x51 = 61.261056745001
x52 = -26.7035375555132
x53 = -89.5353906273091
x54 = -41.4193831011606
x55 = -32.9867228626928
x56 = -14.1371669411541
x57 = -53.9857537155198
x58 = -76.9690200129499
x59 = 96.8106936567902
x60 = -16.2866418724423
x61 = 21.4124699706352
x62 = -10.0034565652627
x63 = -1.5707963267949
x64 = 29.845130209103
x65 = 33.9788405849944
x66 = -91.6848655585973
x67 = -97.9680508657769
x67 = -97.9680508657769