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La ecuación:
Ecuación 3^x=4
Ecuación 6*x^2+x-7=0
Ecuación 15-16x+4x^2=0
Ecuación 4*x^2-100=0
Expresar {x} en función de y en la ecuación:
6*x-19*y=-18
3*x-12*y=-14
17*x-19*y=-12
6*x+13*y=-7
Expresiones idénticas
cos(dos *x)+ tres *sin(x)- tres = cero
coseno de (2 multiplicar por x) más 3 multiplicar por seno de (x) menos 3 es igual a 0
coseno de (dos multiplicar por x) más tres multiplicar por seno de (x) menos tres es igual a cero
cos(2x)+3sin(x)-3=0
cos2x+3sinx-3=0
cos(2*x)+3*sin(x)-3=O
Expresiones semejantes
cos(2*x)+3*sin(x)+3=0
cos(2*x)-3*sin(x)-3=0
cos(2*x)+3*sinx-3=0
Expresiones con funciones
Coseno cos
cos(3*x-pi/7)=-1
cos(z)=3/2
cos(2*x)+sin(x)+5=0
cos(x)^2-1/sin(x)^2=0
cos(3*x-pi/4)^2=1
Seno sin
sin(x)=0.25
sin^2*(7.5C)/sin^2*(7C)
sin(x/2)=(1/2)
sin(x*35/2)/(x*35/2)=0
sin(x+3*pi/2)^2=cos(x)

cos(2x)+3sin(x)-3=0 la ecuación

El profesor se sorprenderá mucho al ver tu solución correcta😉

Solución

Ha introducido [src]

cos(2*x) + 3*sin(x) - 3 = 0

\left(3 \sin{\left(x \right)} + \cos{\left(2 x \right)}\right) - 3 = 0

Simplificar

Solución detallada

Tenemos la ecuación

\left(3 \sin{\left(x \right)} + \cos{\left(2 x \right)}\right) - 3 = 0

cambiamos

3 \sin{\left(x \right)} + \cos{\left(2 x \right)} - 3 = 0

- 2 \sin^{2}{\left(x \right)} + 3 \sin{\left(x \right)} - 2 = 0

Sustituimos

w = \sin{\left(x \right)}

Es la ecuación de la forma

a*w^2 + b*w + c = 0

La ecuación cuadrática puede ser resuelta
con la ayuda del discriminante.
Las raíces de la ecuación cuadrática:

w_{1} = \frac{\sqrt{D} - b}{2 a}

w_{2} = \frac{- \sqrt{D} - b}{2 a}

donde D = b^2 - 4*a*c es el discriminante.
Como

a = -2

b = 3

c = -2

, entonces

D = b^2 - 4 * a * c =

(3)^2 - 4 * (-2) * (-2) = -7

Como D < 0 la ecuación
no tiene raíces reales,
pero hay raíces complejas.

w1 = (-b + sqrt(D)) / (2*a)

w2 = (-b - sqrt(D)) / (2*a)

w_{1} = \frac{3}{4} - \frac{\sqrt{7} i}{4}

w_{2} = \frac{3}{4} + \frac{\sqrt{7} i}{4}

hacemos cambio inverso

\sin{\left(x \right)} = w

Tenemos la ecuación

\sin{\left(x \right)} = w

es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en

x = 2 \pi n + \operatorname{asin}{\left(w \right)}

x = 2 \pi n - \operatorname{asin}{\left(w \right)} + \pi

x = 2 \pi n + \operatorname{asin}{\left(w \right)}

x = 2 \pi n - \operatorname{asin}{\left(w \right)} + \pi

, donde n es cualquier número entero
sustituimos w:

x_{1} = 2 \pi n + \operatorname{asin}{\left(w_{1} \right)}

x_{1} = 2 \pi n + \operatorname{asin}{\left(\frac{3}{4} - \frac{\sqrt{7} i}{4} \right)}

x_{1} = 2 \pi n + \operatorname{asin}{\left(\frac{3}{4} - \frac{\sqrt{7} i}{4} \right)}

x_{2} = 2 \pi n + \operatorname{asin}{\left(w_{2} \right)}

x_{2} = 2 \pi n + \operatorname{asin}{\left(\frac{3}{4} + \frac{\sqrt{7} i}{4} \right)}

x_{2} = 2 \pi n + \operatorname{asin}{\left(\frac{3}{4} + \frac{\sqrt{7} i}{4} \right)}

x_{3} = 2 \pi n - \operatorname{asin}{\left(w_{1} \right)} + \pi

x_{3} = 2 \pi n + \pi - \operatorname{asin}{\left(\frac{3}{4} - \frac{\sqrt{7} i}{4} \right)}

x_{3} = 2 \pi n + \pi - \operatorname{asin}{\left(\frac{3}{4} - \frac{\sqrt{7} i}{4} \right)}

x_{4} = 2 \pi n - \operatorname{asin}{\left(w_{2} \right)} + \pi

x_{4} = 2 \pi n + \pi - \operatorname{asin}{\left(\frac{3}{4} + \frac{\sqrt{7} i}{4} \right)}

x_{4} = 2 \pi n + \pi - \operatorname{asin}{\left(\frac{3}{4} + \frac{\sqrt{7} i}{4} \right)}

Gráfica

Trazar el gráfico f1(x)

Trazar el gráfico f2(x)

Respuesta rápida [src]

               /         ______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________\                                                   
               |        /                                                             /    /    ___\\                 /    /    ___\\                    /    /    ___\\                                                     /    /    ___\\                                 /    /    ___\\                   /    /    ___\\ |       /                        /    /    ___\\   \
               |       /                                                              |    |3*\/ 7 ||                 |    |3*\/ 7 ||                    |    |3*\/ 7 ||                                                     |    |3*\/ 7 ||                                 |    |3*\/ 7 ||                   |    |3*\/ 7 || |       |                        |    |3*\/ 7 ||   |
               |      /                                            _______________    |atan|-------||                 |atan|-------||                    |atan|-------||                                                     |atan|-------||              _______________    |atan|-------||                   |atan|-------|| |       |                        |atan|-------||   |
               |     /                  _______________   4 ___   /           ___     |    \   7   /|     ___  3/4    |    \   7   /|       ___ 4 ___    |    \   7   /|                _______________         ___ 4 ___    |    \   7   /|     4 ___   /           ___     |    \   7   /|       ___  3/4    |    \   7   /| |       |           ___ 4 ___    |    \   7   /|   |
               |    /           ____   /           ___    \/ 7 *\/  7 - 3*I*\/ 7  *cos|-------------|   \/ 2 *7   *cos|-------------|   3*\/ 2 *\/ 7 *sin|-------------|         ___   /           ___    3*I*\/ 2 *\/ 7 *cos|-------------|   I*\/ 7 *\/  7 - 3*I*\/ 7  *sin|-------------|   I*\/ 2 *7   *sin|-------------| |       |   3 + 2*\/ 2 *\/ 7 *sin|-------------|   |
               |   /          \/ 14 *\/  7 - 3*I*\/ 7                                 \      2      /                 \      2      /                    \      2      /   3*I*\/ 2 *\/  7 - 3*I*\/ 7                        \      2      /                                 \      2      /                   \      2      / |       |                        \      2      /   |
x1 = pi - I*log|  /       1 + ------------------------- + ------------------------------------------- + ----------------------------- + -------------------------------- + ---------------------------- - ---------------------------------- + --------------------------------------------- + ------------------------------- | + atan|------------------------------------------|
               \\/                        16                                   4                                      8                                8                                16                                8                                          4                                        8                /       |                           /    /    ___\\|
                                                                                                                                                                                                                                                                                                                                       |                           |    |3*\/ 7 |||
                                                                                                                                                                                                                                                                                                                                       |                           |atan|-------|||
                                                                                                                                                                                                                                                                                                                                       |    ___       ___ 4 ___    |    \   7   /||
                                                                                                                                                                                                                                                                                                                                       |- \/ 7  - 2*\/ 2 *\/ 7 *cos|-------------||
                                                                                                                                                                                                                                                                                                                                       \                           \      2      //

x_{1} = \operatorname{atan}{\left(\frac{2 \sqrt{2} \sqrt[4]{7} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)} + 3}{- 2 \sqrt{2} \sqrt[4]{7} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)} - \sqrt{7}} \right)} + \pi - i \log{\left(\sqrt{\frac{3 \sqrt{2} \sqrt[4]{7} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{8} + \frac{\sqrt{2} \cdot 7^{\frac{3}{4}} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{8} + 1 - \frac{3 \sqrt{2} \sqrt[4]{7} i \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{8} + \frac{\sqrt[4]{7} \sqrt{7 - 3 \sqrt{7} i} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{4} + \frac{\sqrt{14} \sqrt{7 - 3 \sqrt{7} i}}{16} + \frac{\sqrt{2} \cdot 7^{\frac{3}{4}} i \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{8} + \frac{\sqrt[4]{7} i \sqrt{7 - 3 \sqrt{7} i} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{4} + \frac{3 \sqrt{2} i \sqrt{7 - 3 \sqrt{7} i}}{16}} \right)}

            /         ______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________\                                                   
            |        /                                                  /    /    ___\\                                                /    /    ___\\                               /    /    ___\\                   /    /    ___\\                                 /    /    ___\\                      /    /    ___\\ |       /                        /    /    ___\\   \
            |       /                                                   |    |3*\/ 7 ||                                                |    |3*\/ 7 ||                               |    |3*\/ 7 ||                   |    |3*\/ 7 ||                                 |    |3*\/ 7 ||                      |    |3*\/ 7 || |       |                        |    |3*\/ 7 ||   |
            |      /                                                    |atan|-------||                                                |atan|-------||            _______________    |atan|-------||                   |atan|-------||              _______________    |atan|-------||                      |atan|-------|| |       |                        |atan|-------||   |
            |     /                  _______________       ___ 4 ___    |    \   7   /|                _______________     ___  3/4    |    \   7   /|   4 ___   /           ___     |    \   7   /|       ___  3/4    |    \   7   /|     4 ___   /           ___     |    \   7   /|         ___ 4 ___    |    \   7   /| |       |           ___ 4 ___    |    \   7   /|   |
            |    /           ____   /           ___    3*\/ 2 *\/ 7 *sin|-------------|         ___   /           ___    \/ 2 *7   *cos|-------------|   \/ 7 *\/  7 - 3*I*\/ 7  *cos|-------------|   I*\/ 2 *7   *sin|-------------|   I*\/ 7 *\/  7 - 3*I*\/ 7  *sin|-------------|   3*I*\/ 2 *\/ 7 *cos|-------------| |       |   3 - 2*\/ 2 *\/ 7 *sin|-------------|   |
            |   /          \/ 14 *\/  7 - 3*I*\/ 7                      \      2      /   3*I*\/ 2 *\/  7 - 3*I*\/ 7                   \      2      /                               \      2      /                   \      2      /                                 \      2      /                      \      2      / |       |                        \      2      /   |
x2 = - I*log|  /       1 - ------------------------- - -------------------------------- - ---------------------------- - ----------------------------- + ------------------------------------------- - ------------------------------- + --------------------------------------------- + ---------------------------------- | + atan|------------------------------------------|
            \\/                        16                             8                                16                              8                                      4                                       8                                        4                                         8                  /       |                           /    /    ___\\|
                                                                                                                                                                                                                                                                                                                                    |                           |    |3*\/ 7 |||
                                                                                                                                                                                                                                                                                                                                    |                           |atan|-------|||
                                                                                                                                                                                                                                                                                                                                    |    ___       ___ 4 ___    |    \   7   /||
                                                                                                                                                                                                                                                                                                                                    |- \/ 7  + 2*\/ 2 *\/ 7 *cos|-------------||
                                                                                                                                                                                                                                                                                                                                    \                           \      2      //

x_{2} = \operatorname{atan}{\left(\frac{- 2 \sqrt{2} \sqrt[4]{7} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)} + 3}{- \sqrt{7} + 2 \sqrt{2} \sqrt[4]{7} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}} \right)} - i \log{\left(\sqrt{- \frac{\sqrt{2} \cdot 7^{\frac{3}{4}} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{8} - \frac{3 \sqrt{2} \sqrt[4]{7} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{8} + 1 - \frac{3 \sqrt{2} i \sqrt{7 - 3 \sqrt{7} i}}{16} + \frac{\sqrt[4]{7} \sqrt{7 - 3 \sqrt{7} i} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{4} - \frac{\sqrt{2} \cdot 7^{\frac{3}{4}} i \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{8} - \frac{\sqrt{14} \sqrt{7 - 3 \sqrt{7} i}}{16} + \frac{\sqrt[4]{7} i \sqrt{7 - 3 \sqrt{7} i} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{4} + \frac{3 \sqrt{2} \sqrt[4]{7} i \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{8}} \right)}

               /         ______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________\                                                 
               |        /                                                  /    /    ___\\                 /    /    ___\\                               /    /    ___\\                                                     /    /    ___\\                                 /    /    ___\\                   /    /    ___\\ |       /                       /    /    ___\\  \
               |       /                                                   |    |3*\/ 7 ||                 |    |3*\/ 7 ||                               |    |3*\/ 7 ||                                                     |    |3*\/ 7 ||                                 |    |3*\/ 7 ||                   |    |3*\/ 7 || |       |                       |    |3*\/ 7 ||  |
               |      /                                                    |atan|-------||                 |atan|-------||            _______________    |atan|-------||                                                     |atan|-------||              _______________    |atan|-------||                   |atan|-------|| |       |                       |atan|-------||  |
               |     /                  _______________       ___ 4 ___    |    \   7   /|     ___  3/4    |    \   7   /|   4 ___   /           ___     |    \   7   /|                _______________         ___ 4 ___    |    \   7   /|     4 ___   /           ___     |    \   7   /|       ___  3/4    |    \   7   /| |       |          ___ 4 ___    |    \   7   /|  |
               |    /           ____   /           ___    3*\/ 2 *\/ 7 *sin|-------------|   \/ 2 *7   *cos|-------------|   \/ 7 *\/  7 + 3*I*\/ 7  *cos|-------------|         ___   /           ___    3*I*\/ 2 *\/ 7 *cos|-------------|   I*\/ 7 *\/  7 + 3*I*\/ 7  *sin|-------------|   I*\/ 2 *7   *sin|-------------| |       |  3 - 2*\/ 2 *\/ 7 *sin|-------------|  |
               |   /          \/ 14 *\/  7 + 3*I*\/ 7                      \      2      /                 \      2      /                               \      2      /   3*I*\/ 2 *\/  7 + 3*I*\/ 7                        \      2      /                                 \      2      /                   \      2      / |       |                       \      2      /  |
x3 = pi - I*log|  /       1 - ------------------------- - -------------------------------- - ----------------------------- + ------------------------------------------- + ---------------------------- - ---------------------------------- - --------------------------------------------- + ------------------------------- | + atan|----------------------------------------|
               \\/                        16                             8                                 8                                      4                                     16                                8                                          4                                        8                /       |                         /    /    ___\\|
                                                                                                                                                                                                                                                                                                                                       |                         |    |3*\/ 7 |||
                                                                                                                                                                                                                                                                                                                                       |                         |atan|-------|||
                                                                                                                                                                                                                                                                                                                                       |  ___       ___ 4 ___    |    \   7   /||
                                                                                                                                                                                                                                                                                                                                       |\/ 7  - 2*\/ 2 *\/ 7 *cos|-------------||
                                                                                                                                                                                                                                                                                                                                       \                         \      2      //

x_{3} = \operatorname{atan}{\left(\frac{- 2 \sqrt{2} \sqrt[4]{7} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)} + 3}{- 2 \sqrt{2} \sqrt[4]{7} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)} + \sqrt{7}} \right)} + \pi - i \log{\left(\sqrt{- \frac{\sqrt{2} \cdot 7^{\frac{3}{4}} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{8} - \frac{3 \sqrt{2} \sqrt[4]{7} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{8} + 1 - \frac{3 \sqrt{2} \sqrt[4]{7} i \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{8} - \frac{\sqrt[4]{7} i \sqrt{7 + 3 \sqrt{7} i} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{4} - \frac{\sqrt{14} \sqrt{7 + 3 \sqrt{7} i}}{16} + \frac{\sqrt{2} \cdot 7^{\frac{3}{4}} i \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{8} + \frac{\sqrt[4]{7} \sqrt{7 + 3 \sqrt{7} i} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{4} + \frac{3 \sqrt{2} i \sqrt{7 + 3 \sqrt{7} i}}{16}} \right)}

            /         ______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________\                                                 
            |        /                                                                                            /    /    ___\\                 /    /    ___\\                    /    /    ___\\                                 /    /    ___\\                   /    /    ___\\                      /    /    ___\\ |       /                       /    /    ___\\  \
            |       /                                                                                             |    |3*\/ 7 ||                 |    |3*\/ 7 ||                    |    |3*\/ 7 ||                                 |    |3*\/ 7 ||                   |    |3*\/ 7 ||                      |    |3*\/ 7 || |       |                       |    |3*\/ 7 ||  |
            |      /                                                                           _______________    |atan|-------||                 |atan|-------||                    |atan|-------||              _______________    |atan|-------||                   |atan|-------||                      |atan|-------|| |       |                       |atan|-------||  |
            |     /                  _______________                _______________   4 ___   /           ___     |    \   7   /|     ___  3/4    |    \   7   /|       ___ 4 ___    |    \   7   /|     4 ___   /           ___     |    \   7   /|       ___  3/4    |    \   7   /|         ___ 4 ___    |    \   7   /| |       |          ___ 4 ___    |    \   7   /|  |
            |    /           ____   /           ___          ___   /           ___    \/ 7 *\/  7 + 3*I*\/ 7  *cos|-------------|   \/ 2 *7   *cos|-------------|   3*\/ 2 *\/ 7 *sin|-------------|   I*\/ 7 *\/  7 + 3*I*\/ 7  *sin|-------------|   I*\/ 2 *7   *sin|-------------|   3*I*\/ 2 *\/ 7 *cos|-------------| |       |  3 + 2*\/ 2 *\/ 7 *sin|-------------|  |
            |   /          \/ 14 *\/  7 + 3*I*\/ 7     3*I*\/ 2 *\/  7 + 3*I*\/ 7                                 \      2      /                 \      2      /                    \      2      /                                 \      2      /                   \      2      /                      \      2      / |       |                       \      2      /  |
x4 = - I*log|  /       1 + ------------------------- - ---------------------------- + ------------------------------------------- + ----------------------------- + -------------------------------- - --------------------------------------------- - ------------------------------- + ---------------------------------- | + atan|----------------------------------------|
            \\/                        16                           16                                     4                                      8                                8                                         4                                        8                                  8                  /       |                         /    /    ___\\|
                                                                                                                                                                                                                                                                                                                                    |                         |    |3*\/ 7 |||
                                                                                                                                                                                                                                                                                                                                    |                         |atan|-------|||
                                                                                                                                                                                                                                                                                                                                    |  ___       ___ 4 ___    |    \   7   /||
                                                                                                                                                                                                                                                                                                                                    |\/ 7  + 2*\/ 2 *\/ 7 *cos|-------------||
                                                                                                                                                                                                                                                                                                                                    \                         \      2      //

x_{4} = \operatorname{atan}{\left(\frac{2 \sqrt{2} \sqrt[4]{7} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)} + 3}{\sqrt{7} + 2 \sqrt{2} \sqrt[4]{7} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}} \right)} - i \log{\left(\sqrt{\frac{3 \sqrt{2} \sqrt[4]{7} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{8} + \frac{\sqrt{2} \cdot 7^{\frac{3}{4}} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{8} + 1 - \frac{3 \sqrt{2} i \sqrt{7 + 3 \sqrt{7} i}}{16} - \frac{\sqrt[4]{7} i \sqrt{7 + 3 \sqrt{7} i} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{4} - \frac{\sqrt{2} \cdot 7^{\frac{3}{4}} i \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{8} + \frac{\sqrt{14} \sqrt{7 + 3 \sqrt{7} i}}{16} + \frac{\sqrt[4]{7} \sqrt{7 + 3 \sqrt{7} i} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{4} + \frac{3 \sqrt{2} \sqrt[4]{7} i \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{7}}{7} \right)}}{2} \right)}}{8}} \right)}

x4 = atan((2*sqrt(2)*7^(1/4)*sin(atan(3*sqrt(7)/7)/2) + 3)/(sqrt(7) + 2*sqrt(2)*7^(1/4)*cos(atan(3*sqrt(7)/7)/2))) - i*log(sqrt(3*sqrt(2)*7^(1/4)*sin(atan(3*sqrt(7)/7)/2)/8 + sqrt(2)*7^(3/4)*cos(atan(3*sqrt(7)/7)/2)/8 + 1 - 3*sqrt(2)*i*sqrt(7 + 3*sqrt(7)*i)/16 - 7^(1/4)*i*sqrt(7 + 3*sqrt(7)*i)*sin(atan(3*sqrt(7)/7)/2)/4 - sqrt(2)*7^(3/4)*i*sin(atan(3*sqrt(7)/7)/2)/8 + sqrt(14)*sqrt(7 + 3*sqrt(7)*i)/16 + 7^(1/4)*sqrt(7 + 3*sqrt(7)*i)*cos(atan(3*sqrt(7)/7)/2)/4 + 3*sqrt(2)*7^(1/4)*i*cos(atan(3*sqrt(7)/7)/2)/8))

Respuesta numérica [src]

x1 = 2.52057764329863 - 0.743011062438464*i

x2 = 0.621015010291166 + 0.743011062438464*i

x3 = 2.52057764329863 + 0.743011062438464*i

x4 = 0.621015010291166 - 0.743011062438464*i

x4 = 0.621015010291166 - 0.743011062438464*i

Otras calculadoras

¿Cómo usar?

Expresiones idénticas

Expresiones semejantes

Expresiones con funciones

cos(2*x)+3*sin(x)-3=0 la ecuación

Solución numérica:

Solución

cos(2x)+3sin(x)-3=0 la ecuación