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La ecuación:
Ecuación 5x+15=x-1
Ecuación 3x^2=0
Ecuación x^2-49=0
Ecuación 1-x/2=x/3
Expresar {x} en función de y en la ecuación:
4*x-1*y=-3
-11*x+9*y=-20
9*x+17*y=13
-19*x+14*y=20
Derivada de:
-1
Límite de la función:
-1
Forma canónica:
-1
Expresiones idénticas
sin^ tres (x)+cos^ tres (x)=- uno
seno de al cubo (x) más coseno de al cubo (x) es igual a menos 1
seno de en el grado tres (x) más coseno de en el grado tres (x) es igual a menos uno
sin3(x)+cos3(x)=-1
sin3x+cos3x=-1
sin³(x)+cos³(x)=-1
sin en el grado 3(x)+cos en el grado 3(x)=-1
sin^3x+cos^3x=-1
Expresiones semejantes
sin^3(x)+cos^3(x)=+1
sin^3(x)-cos^3(x)=-1
Expresiones con funciones
Seno sin
sin(2x)=0
sin(x)=a
sin(x)^2=1/2
sin(3*x)+sin(x)=0
sin((pi*x)/4)=-1
Coseno cos
cos(x)=-x+pi/2
cos(x^2)=1
cos(x/8+pi/4)=1
cos(x)=1
cos^2(x)=-1

sin^3(x)+cos^3(x)=-1 la ecuación

El profesor se sorprenderá mucho al ver tu solución correcta😉

Solución

Ha introducido [src]

   3         3        
sin (x) + cos (x) = -1

$$\sin^{3}{\left(x \right)} + \cos^{3}{\left(x \right)} = -1$$

Simplificar

Gráfica

Trazar el gráfico f1(x)

Trazar el gráfico f2(x)

Suma y producto de raíces [src]

suma

           /    /        ___\\         /    /        ___\\       /    /        ___\\         /    /        ___\\
  pi       |    |1   I*\/ 2 ||         |    |1   I*\/ 2 ||       |    |1   I*\/ 2 ||         |    |1   I*\/ 2 ||
- -- + 2*re|atan|- - -------|| + 2*I*im|atan|- - -------|| + 2*re|atan|- + -------|| + 2*I*im|atan|- + -------||
  2        \    \3      3   //         \    \3      3   //       \    \3      3   //         \    \3      3   //

$$\left(- \frac{\pi}{2} + \left(2 \operatorname{re}{\left(\operatorname{atan}{\left(\frac{1}{3} - \frac{\sqrt{2} i}{3} \right)}\right)} + 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{1}{3} - \frac{\sqrt{2} i}{3} \right)}\right)}\right)\right) + \left(2 \operatorname{re}{\left(\operatorname{atan}{\left(\frac{1}{3} + \frac{\sqrt{2} i}{3} \right)}\right)} + 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{1}{3} + \frac{\sqrt{2} i}{3} \right)}\right)}\right)$$

    /    /        ___\\       /    /        ___\\              /    /        ___\\         /    /        ___\\
    |    |1   I*\/ 2 ||       |    |1   I*\/ 2 ||   pi         |    |1   I*\/ 2 ||         |    |1   I*\/ 2 ||
2*re|atan|- - -------|| + 2*re|atan|- + -------|| - -- + 2*I*im|atan|- - -------|| + 2*I*im|atan|- + -------||
    \    \3      3   //       \    \3      3   //   2          \    \3      3   //         \    \3      3   //

$$- \frac{\pi}{2} + 2 \operatorname{re}{\left(\operatorname{atan}{\left(\frac{1}{3} - \frac{\sqrt{2} i}{3} \right)}\right)} + 2 \operatorname{re}{\left(\operatorname{atan}{\left(\frac{1}{3} + \frac{\sqrt{2} i}{3} \right)}\right)} + 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{1}{3} - \frac{\sqrt{2} i}{3} \right)}\right)} + 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{1}{3} + \frac{\sqrt{2} i}{3} \right)}\right)}$$

producto

     /    /    /        ___\\         /    /        ___\\\ /    /    /        ___\\         /    /        ___\\\
-pi  |    |    |1   I*\/ 2 ||         |    |1   I*\/ 2 ||| |    |    |1   I*\/ 2 ||         |    |1   I*\/ 2 |||
----*|2*re|atan|- - -------|| + 2*I*im|atan|- - -------|||*|2*re|atan|- + -------|| + 2*I*im|atan|- + -------|||
 2   \    \    \3      3   //         \    \3      3   /// \    \    \3      3   //         \    \3      3   ///

$$- \frac{\pi}{2} \left(2 \operatorname{re}{\left(\operatorname{atan}{\left(\frac{1}{3} - \frac{\sqrt{2} i}{3} \right)}\right)} + 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{1}{3} - \frac{\sqrt{2} i}{3} \right)}\right)}\right) \left(2 \operatorname{re}{\left(\operatorname{atan}{\left(\frac{1}{3} + \frac{\sqrt{2} i}{3} \right)}\right)} + 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{1}{3} + \frac{\sqrt{2} i}{3} \right)}\right)}\right)$$

      /    /    /        ___\\     /    /        ___\\\ /    /    /        ___\\     /    /        ___\\\
      |    |    |1   I*\/ 2 ||     |    |1   I*\/ 2 ||| |    |    |1   I*\/ 2 ||     |    |1   I*\/ 2 |||
-2*pi*|I*im|atan|- - -------|| + re|atan|- - -------|||*|I*im|atan|- + -------|| + re|atan|- + -------|||
      \    \    \3      3   //     \    \3      3   /// \    \    \3      3   //     \    \3      3   ///

$$- 2 \pi \left(\operatorname{re}{\left(\operatorname{atan}{\left(\frac{1}{3} - \frac{\sqrt{2} i}{3} \right)}\right)} + i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{1}{3} - \frac{\sqrt{2} i}{3} \right)}\right)}\right) \left(\operatorname{re}{\left(\operatorname{atan}{\left(\frac{1}{3} + \frac{\sqrt{2} i}{3} \right)}\right)} + i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{1}{3} + \frac{\sqrt{2} i}{3} \right)}\right)}\right)$$

-2*pi*(i*im(atan(1/3 - i*sqrt(2)/3)) + re(atan(1/3 - i*sqrt(2)/3)))*(i*im(atan(1/3 + i*sqrt(2)/3)) + re(atan(1/3 + i*sqrt(2)/3)))

Respuesta rápida [src]

     -pi 
x1 = ----
      2

$$x_{1} = - \frac{\pi}{2}$$

         /    /        ___\\         /    /        ___\\
         |    |1   I*\/ 2 ||         |    |1   I*\/ 2 ||
x2 = 2*re|atan|- - -------|| + 2*I*im|atan|- - -------||
         \    \3      3   //         \    \3      3   //

$$x_{2} = 2 \operatorname{re}{\left(\operatorname{atan}{\left(\frac{1}{3} - \frac{\sqrt{2} i}{3} \right)}\right)} + 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{1}{3} - \frac{\sqrt{2} i}{3} \right)}\right)}$$

         /    /        ___\\         /    /        ___\\
         |    |1   I*\/ 2 ||         |    |1   I*\/ 2 ||
x3 = 2*re|atan|- + -------|| + 2*I*im|atan|- + -------||
         \    \3      3   //         \    \3      3   //

$$x_{3} = 2 \operatorname{re}{\left(\operatorname{atan}{\left(\frac{1}{3} + \frac{\sqrt{2} i}{3} \right)}\right)} + 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{1}{3} + \frac{\sqrt{2} i}{3} \right)}\right)}$$

x3 = 2*re(atan(1/3 + sqrt(2)*i/3)) + 2*i*im(atan(1/3 + sqrt(2)*i/3))

Respuesta numérica [src]

x1 = -51.8362786760391

x2 = -21.9911485866776

x3 = -40.8407047275785

x4 = 91.1061866782628

x5 = 97.3893724443308

x6 = -58.1194642367418

x7 = -83.2522049575361

x8 = 3.1415933598342

x9 = -45.5530935630466

x10 = -76.9690198676666

x11 = 4.71238906709808

x12 = -58.1194639889175

x13 = 15.7079633669648

x14 = 42.4115007464308

x15 = -3.14159296122677

x16 = -14.1371668265996

x17 = 72.2566310276876

x18 = -32.986723251117

x19 = -7.85398147228712

x20 = 48.6946861550632

x21 = -1.57079640863107

x22 = 29.8451303353433

x23 = -9.42477815879719

x24 = 86.3937978131303

x25 = -70.6858343783636

x26 = 78.5398161605795

x27 = -84.8230018570725

x28 = 54.9778714592847

x29 = 92.6769832653032

x30 = -97.3893724773473

x31 = 34.5575190007947

x32 = -28.2743337820612

x33 = 9.42477822352698

x34 = 84.823001347485

x35 = -91.1061872677113

x36 = 53.407074288215

x37 = 40.8407041928686

x38 = -20.4203519803221

x39 = 59.6902605705201

x40 = 3.14159240507716

x41 = 73.8274274969578

x42 = 86.3937979021257

x43 = 54.9778711224563

x44 = 61.2610570678623

x45 = -89.5353907167898

x46 = -53.4070753181826

x47 = -26.7035372287922

x48 = -32.9867227528477

x49 = 98.9601683691103

x50 = -1.57079632092246

x51 = -76.9690202418575

x52 = 67.5442423340112

x53 = 23.5619451770248

x54 = -39.2699079812463

x55 = 65.9734454574572

x56 = -28.2743345699081

x57 = -47.1238901147662

x58 = -95.8185758612313

x59 = -76.9690190961341

x60 = 65.9734457515484

x61 = -65.9734457677988

x62 = 28.2743338648136

x63 = 21.9911479507339

x64 = -15.7079632975992

x65 = -466.526508446661

x66 = 15.7079633904962

x67 = -183.783170653485

x68 = 17.2787599199721

x69 = 36.1283160412735

x70 = 47.1238895404761

x71 = -59.6902604596661

x72 = 80.1106130783293

x73 = 59.6902605148678

x74 = 21.9911485850171

x75 = 98.9601685558549

x76 = -84.8230015598068

x77 = -64.4026491380143

x78 = 42.4115009643665

x79 = -32.9867227127732

x80 = -40.8407048780523

x81 = 10.9955743563152

x82 = 10.9955740768918

x83 = -72.2566309320597

x83 = -72.2566309320597

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Expresiones idénticas

Expresiones semejantes

Expresiones con funciones

sin^3(x)+cos^3(x)=-1 la ecuación

Solución numérica:

Solución