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- La ecuación:
-
Ecuación (x-3)*(x+2)=0
-
Ecuación z^2-6*z+10=0
-
Ecuación 4/(x-4)=-5
-
Ecuación (x-6)^2=-24*x
- Expresar {x} en función de y en la ecuación:
- -7*x-13*y=5
- 15*x+1*y=19
- 7*x-1*y=-7
- -14*x-12*y=5
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Expresiones idénticas
- sqrt2*(cosx-sinx)- uno = cero
- raíz cuadrada de 2 multiplicar por ( coseno de x menos seno de x) menos 1 es igual a 0
- raíz cuadrada de 2 multiplicar por ( coseno de x menos seno de x) menos uno es igual a cero
- √2*(cosx-sinx)-1=0
- sqrt2(cosx-sinx)-1=0
- sqrt2cosx-sinx-1=0
- sqrt2*(cosx-sinx)-1=O
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Expresiones semejantes
- sqrt2*(cosx-sinx)+1=0
- sqrt2*(cosx+sinx)-1=0
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Expresiones con funciones
- cosx
- cosx=c+2
- cosx/2=sinи
- cosx^2-(2*1/2)*cosx=0
- cosx+sinx=-0,5
- cosx-sin((pi/2)-x)+cos(pi+x)=0
- sinx
- sinx
- sinx=1/3
- sinx+cosx/sinx=2cotx
- sinx=(3-i)/4
- sinx/4=-sqrt2/2
sqrt2*(cosx-sinx)-1=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
___ \/ 2 *(cos(x) - sin(x)) - 1 = 0
$$\sqrt{2} \left(- \sin{\left(x \right)} + \cos{\left(x \right)}\right) - 1 = 0$$
Suma y producto de raíces
[src]
suma
/ ___ ___ ___\ / ___ ___ ___\ 2*atan\-2 + \/ 2 + \/ 3 - \/ 6 / - 2*atan\2 + \/ 3 - \/ 2 - \/ 6 /
$$2 \operatorname{atan}{\left(- \sqrt{6} - 2 + \sqrt{2} + \sqrt{3} \right)} - 2 \operatorname{atan}{\left(- \sqrt{6} - \sqrt{2} + \sqrt{3} + 2 \right)}$$
=
/ ___ ___ ___\ / ___ ___ ___\ - 2*atan\2 + \/ 3 - \/ 2 - \/ 6 / + 2*atan\-2 + \/ 2 + \/ 3 - \/ 6 /
$$2 \operatorname{atan}{\left(- \sqrt{6} - 2 + \sqrt{2} + \sqrt{3} \right)} - 2 \operatorname{atan}{\left(- \sqrt{6} - \sqrt{2} + \sqrt{3} + 2 \right)}$$
producto
/ ___ ___ ___\ / ___ ___ ___\ 2*atan\-2 + \/ 2 + \/ 3 - \/ 6 /*-2*atan\2 + \/ 3 - \/ 2 - \/ 6 /
$$2 \operatorname{atan}{\left(- \sqrt{6} - 2 + \sqrt{2} + \sqrt{3} \right)} \left(- 2 \operatorname{atan}{\left(- \sqrt{6} - \sqrt{2} + \sqrt{3} + 2 \right)}\right)$$
=
/ ___ ___ ___\ / ___ ___ ___\ -4*atan\-2 + \/ 2 + \/ 3 - \/ 6 /*atan\2 + \/ 3 - \/ 2 - \/ 6 /
$$- 4 \operatorname{atan}{\left(- \sqrt{6} - 2 + \sqrt{2} + \sqrt{3} \right)} \operatorname{atan}{\left(- \sqrt{6} - \sqrt{2} + \sqrt{3} + 2 \right)}$$
-4*atan(-2 + sqrt(2) + sqrt(3) - sqrt(6))*atan(2 + sqrt(3) - sqrt(2) - sqrt(6))
Respuesta rápida
[src]
/ ___ ___ ___\ x1 = 2*atan\-2 + \/ 2 + \/ 3 - \/ 6 /
$$x_{1} = 2 \operatorname{atan}{\left(- \sqrt{6} - 2 + \sqrt{2} + \sqrt{3} \right)}$$
/ ___ ___ ___\ x2 = -2*atan\2 + \/ 3 - \/ 2 - \/ 6 /
$$x_{2} = - 2 \operatorname{atan}{\left(- \sqrt{6} - \sqrt{2} + \sqrt{3} + 2 \right)}$$
x2 = -2*atan(-sqrt(6) - sqrt(2) + sqrt(3) + 2)
Respuesta numérica
[src]
x1 = 19.1113553093379
x2 = 92.4151838930998
x3 = 10.7337748997651
x4 = -83.5140047079287
x5 = 48.4328867428426
x6 = 37.9609112308767
x7 = 6.54498469497874
x8 = 4.45058959258554
x9 = 67.2824426643814
x10 = -14.3989663289532
x11 = -12.30457122656
x12 = 73.565627971561
x13 = 75.6600230739542
x14 = 98.6983692002793
x15 = -89.7971900151083
x16 = 25.3945406165175
x17 = -33.248522250492
x18 = 17.0169602069447
x19 = -68.8532389911763
x20 = -144.251462677331
x21 = 29.5833308213039
x22 = 88.2263936883134
x23 = 86.1319985859202
x24 = 12.8281700021583
x25 = 31.6777259236971
x26 = -77.2308194007491
x27 = 35.8665161284835
x28 = 44.2440965380563
x29 = 60.9992573572018
x30 = -70.9476340935695
x31 = 94.5095789954929
x32 = 63.093652459595
x33 = -6.02138591938044
x34 = 42.1497014356631
x35 = 81.9432083811338
x36 = -26.9653369433124
x37 = 23.3001455141243
x38 = -20.6821516361328
x39 = 50.5272818452358
x40 = -87.7027949127151
x41 = -31.1541271480988
x42 = -1.83259571459405
x43 = -50.0036830696375
x44 = -8.11578102177363
x45 = -56.2868683768171
x46 = 56.8104671524154
x47 = 100.792764302673
x48 = -177.761784315622
x49 = -96.0803753222878
x50 = -58.3812634792103
x51 = -18.5877565337396
x52 = -81.4196096055355
x53 = -45.8148928648512
x54 = -93.9859802198946
x55 = -24.8709418409192
x56 = 54.7160720500222
x57 = 0.261799387799149
x58 = 79.8488132787406
x59 = -37.4373124552784
x60 = 243.21163126541
x61 = -64.6644487863899
x62 = -52.0980781720307
x63 = -100.269165527074
x64 = -39.5317075576716
x65 = -62.5700536839967
x66 = 69.3768377667746
x67 = -75.1364242983559
x68 = -43.720497762458
x68 = -43.720497762458