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- La ecuación:
-
Ecuación x^2+5x=36
-
Ecuación 9-7(x+3)=5-6x
-
Ecuación 4x-5=3+2(x+1)
-
Ecuación 6/(x-2)+5/x=3
- Expresar {x} en función de y en la ecuación:
- -14*x-12*y=-13
- -20*x+14*y=16
- -7*x+15*y=-11
- -14*x+5*y=3
-
Expresiones idénticas
- sqrt(cosx-sinx)+sqrt(sinx+cosx)- dos = cero
- raíz cuadrada de ( coseno de x menos seno de x) más raíz cuadrada de ( seno de x más coseno de x) menos 2 es igual a 0
- raíz cuadrada de ( coseno de x menos seno de x) más raíz cuadrada de ( seno de x más coseno de x) menos dos es igual a cero
- √(cosx-sinx)+√(sinx+cosx)-2=0
- sqrtcosx-sinx+sqrtsinx+cosx-2=0
- sqrt(cosx-sinx)+sqrt(sinx+cosx)-2=O
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Expresiones semejantes
- sqrt(cosx-sinx)+sqrt(sinx-cosx)-2=0
- sqrt(cosx-sinx)+sqrt(sinx+cosx)+2=0
- sqrt(cosx+sinx)+sqrt(sinx+cosx)-2=0
- sqrt(cosx-sinx)-sqrt(sinx+cosx)-2=0
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Expresiones con funciones
- Raíz cuadrada sqrt
- sqrt((a-b*w^2)^2+(c*w)^2)=(19/10)*w
- sqrt(0*x+0)=0
- sqrt(5+2*x)=8+-sqrt(x-1)
- sqrt(4*x^2+4*x-6)=2
- sqrt(3*x+1)=x-1
- cosx
- cosx+4cos2x=0
- cosx-2|cosx|=y
- sinx
- sinx^2-0.5*cosx-1=0
- sinx=2/7
- sinx+|cosx|=sin4x+cos2x
- sinx⋅cosx=(2√/2)sinx
- sinx^2+1/2sin2x-2cosx^2=0
- Raíz cuadrada sqrt
- sqrt((a-b*w^2)^2+(c*w)^2)=(19/10)*w
- sqrt(0*x+0)=0
- sqrt(5+2*x)=8+-sqrt(x-1)
- sqrt(4*x^2+4*x-6)=2
- sqrt(3*x+1)=x-1
- sinx
- sinx^2-0.5*cosx-1=0
- sinx=2/7
- sinx+|cosx|=sin4x+cos2x
- sinx⋅cosx=(2√/2)sinx
- sinx^2+1/2sin2x-2cosx^2=0
- cosx
- cosx+4cos2x=0
- cosx-2|cosx|=y
sqrt(cosx-sinx)+sqrt(sinx+cosx)-2=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
_________________ _________________ \/ cos(x) - sin(x) + \/ sin(x) + cos(x) - 2 = 0
$$\left(\sqrt{- \sin{\left(x \right)} + \cos{\left(x \right)}} + \sqrt{\sin{\left(x \right)} + \cos{\left(x \right)}}\right) - 2 = 0$$
Respuesta rápida
[src]
x1 = 0
$$x_{1} = 0$$
/ / ___\\ / / ___\\
| |\/ 6 || | |\/ 6 ||
x2 = 2*im|atanh|-----|| - 2*I*re|atanh|-----||
\ \ 2 // \ \ 2 //
$$x_{2} = 2 \operatorname{im}{\left(\operatorname{atanh}{\left(\frac{\sqrt{6}}{2} \right)}\right)} - 2 i \operatorname{re}{\left(\operatorname{atanh}{\left(\frac{\sqrt{6}}{2} \right)}\right)}$$
/ / ___\\ / / ___\\
| |\/ 6 || | |\/ 6 ||
x3 = - 2*im|atanh|-----|| + 2*I*re|atanh|-----||
\ \ 2 // \ \ 2 //
$$x_{3} = - 2 \operatorname{im}{\left(\operatorname{atanh}{\left(\frac{\sqrt{6}}{2} \right)}\right)} + 2 i \operatorname{re}{\left(\operatorname{atanh}{\left(\frac{\sqrt{6}}{2} \right)}\right)}$$
x3 = -2*im(atanh(sqrt(6)/2)) + 2*i*re(atanh(sqrt(6)/2))
Suma y producto de raíces
[src]
suma
/ / ___\\ / / ___\\ / / ___\\ / / ___\\
| |\/ 6 || | |\/ 6 || | |\/ 6 || | |\/ 6 ||
2*im|atanh|-----|| - 2*I*re|atanh|-----|| + - 2*im|atanh|-----|| + 2*I*re|atanh|-----||
\ \ 2 // \ \ 2 // \ \ 2 // \ \ 2 //
$$\left(2 \operatorname{im}{\left(\operatorname{atanh}{\left(\frac{\sqrt{6}}{2} \right)}\right)} - 2 i \operatorname{re}{\left(\operatorname{atanh}{\left(\frac{\sqrt{6}}{2} \right)}\right)}\right) + \left(- 2 \operatorname{im}{\left(\operatorname{atanh}{\left(\frac{\sqrt{6}}{2} \right)}\right)} + 2 i \operatorname{re}{\left(\operatorname{atanh}{\left(\frac{\sqrt{6}}{2} \right)}\right)}\right)$$
=
0
$$0$$
producto
/ / / ___\\ / / ___\\\ / / / ___\\ / / ___\\\ | | |\/ 6 || | |\/ 6 ||| | | |\/ 6 || | |\/ 6 ||| 0*|2*im|atanh|-----|| - 2*I*re|atanh|-----|||*|- 2*im|atanh|-----|| + 2*I*re|atanh|-----||| \ \ \ 2 // \ \ 2 /// \ \ \ 2 // \ \ 2 ///
$$\left(- 2 \operatorname{im}{\left(\operatorname{atanh}{\left(\frac{\sqrt{6}}{2} \right)}\right)} + 2 i \operatorname{re}{\left(\operatorname{atanh}{\left(\frac{\sqrt{6}}{2} \right)}\right)}\right) 0 \left(2 \operatorname{im}{\left(\operatorname{atanh}{\left(\frac{\sqrt{6}}{2} \right)}\right)} - 2 i \operatorname{re}{\left(\operatorname{atanh}{\left(\frac{\sqrt{6}}{2} \right)}\right)}\right)$$
=
0
$$0$$
0
Respuesta numérica
[src]
x1 = -15.707963267949 + 2.29243166956118*i
x2 = -81.6814089872821 + 8.05597619809217e-7*i
x3 = 28.2743338823081 + 2.29243166956118*i
x4 = 94.2477789067656 - 8.08848507270507e-7*i
x5 = -94.2477789501814 - 3.09778422316911e-7*i
x6 = -94.2477788286231 - 5.15527252306289e-10*i
x7 = -6.28318510958398
x8 = -31.4159267340935
x9 = -25.1327410957573 - 5.37624278117317e-7*i
x10 = -18.8495562794234 + 5.1256820295846e-7*i
x11 = 94.2477796093521
x12 = -31.415927076375 - 3.17563724542052e-7*i
x13 = -94.247779432445
x14 = -37.6991117761298 + 8.23700552238535e-7*i
x15 = 50.2654824463274
x16 = 50.265481760729 - 7.96795013615888e-7*i
x17 = -100.530964461004
x18 = 21.9911485751286 + 2.29243166956118*i
x19 = -87.9645946361419 - 8.57019097484636e-7*i
x20 = 50.2654826414999 + 8.48047445754284e-7*i
x21 = 81.6814092142479
x22 = 18.8495560324512 - 5.41673143532541e-7*i
x23 = -50.2654822711102
x24 = -6.28318457834653 + 5.99280800595742e-9*i
x25 = -56.5486672695267 - 4.95201495535131e-8*i
x26 = -21.9911485751286 + 2.29243166956118*i
x27 = 100.530964060939 - 5.58440919100342e-7*i
x28 = 12.5663704270791
x29 = 31.4159264518393 + 5.49570003163252e-7*i
x30 = 56.5486670817381 - 1.30589069581176e-7*i
x31 = 100.530964748724
x32 = 37.6991125173834 + 1.48439779696025e-7*i
x33 = -50.265481685142 - 1.06081489132446e-7*i
x34 = -87.9645943583888
x35 = -12.5663701052476 - 8.13257196799616e-8*i
x36 = 6.28318462624887 - 7.78651381933019e-7*i
x37 = 56.5486675880053
x38 = 43.9822969731572 - 8.43073210486883e-7*i
x39 = 62.8318531587837 - 5.45078352506659e-7*i
x40 = 94.2477798473949 + 8.55143538325648e-7*i
x41 = -69.1150388660157 + 8.54072877099946e-8*i
x42 = 6.28318543357183 + 8.37712385874517e-7*i
x43 = 31.4159270582485 - 1.09541980246235e-7*i
x44 = -25.1327416955301 + 6.9822860684349e-8*i
x45 = 18.8495554741045 + 5.59548558730781e-8*i
x46 = 56.5486667039948 - 4.45826934180832e-7*i
x47 = -56.5486677955053 + 5.50821095831987e-7*i
x48 = 6.98689487992368e-7 + 8.07708653058757e-7*i
x49 = -43.9822974353666 - 8.54786671450981e-7*i
x50 = -69.1150382257016 - 5.33115276276292e-7*i
x51 = 25.1327415728744 - 4.87373565202557e-7*i
x52 = 87.9645943361194
x53 = 37.6991125748136 - 2.52949565946421e-7*i
x54 = 69.1150379780716 + 5.09029052286596e-7*i
x55 = 43.9822978396352 + 7.9507320807871e-7*i
x56 = -37.6991118774247
x57 = 75.3982235782037 + 5.47809437977408e-7*i
x58 = 62.8318526429282 + 4.32479765991777e-8*i
x59 = 81.6814095959616 + 2.51427736985268e-7*i
x60 = -43.9822964526825 + 8.1664171460858e-7*i
x61 = 87.9645941806139 - 8.32716988125936e-7*i
x62 = -12.5663706727867 + 5.50640361990857e-7*i
x63 = -43.982297174482
x64 = 6.28318528414683
x65 = -6.2831845520881 - 1.89824587107621e-7*i
x66 = -50.2654817321635 - 1.6811303250316e-7*i
x67 = -75.3982238955572
x68 = -62.8318534109305 + 5.14360726206754e-7*i
x69 = 72.2566310325652 - 2.29243166956118*i
x70 = -87.9645936123609 + 8.23498380622663e-7*i
x71 = 12.5663700012019 - 2.38636407952988e-7*i
x72 = 43.9822971695191
x73 = 0.0
x74 = 25.1327408504558 + 5.1081381176019e-7*i
x75 = 87.9645949670978 + 7.76103404851962e-7*i
x76 = 69.1150387094025 - 4.87294422695193e-7*i
x77 = -62.8318526946751 - 4.90458441176814e-7*i
x78 = -81.6814090385496
x79 = 65.9734457253857 - 2.29243166956118*i
x80 = -18.8495555620846 - 4.88336670698755e-7*i
x81 = -37.6991124928532 - 7.50118629920406e-7*i
x82 = -81.6814095897379 - 7.02882358314764e-7*i
x83 = 81.6814096987732 - 2.96523274450008e-7*i
x84 = 75.3982242207109 - 1.37362559026073e-7*i
x85 = -65.9734457253857 + 2.29243166956118*i
x86 = -75.398224156826 - 3.76438085132309e-7*i
x87 = 37.6991120521837
x88 = -2.32226080796879e-7 - 8.50281126415996e-7*i
x88 = -2.32226080796879e-7 - 8.50281126415996e-7*i