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- La ecuación:
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Ecuación x^3-x^2-x-1=0
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Ecuación 3x-2(3x+4)=10
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Ecuación 12-4(x-3)=39-9x
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Ecuación 0,2x+2,7=1,4-1,1x
- Expresar {x} en función de y en la ecuación:
- -11*x-3*y=14
- 2*x-15*y=-1
- -18*x-6*y=-1
- 6*x+9*y=-9
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Expresiones idénticas
- sin(arctg3x)=3x/√ uno +9x^ dos
- seno de (arctg3x) es igual a 3x dividir por √1 más 9x al cuadrado
- seno de (arctg3x) es igual a 3x dividir por √ uno más 9x en el grado dos
- sin(arctg3x)=3x/√1+9x2
- sinarctg3x=3x/√1+9x2
- sin(arctg3x)=3x/√1+9x²
- sin(arctg3x)=3x/√1+9x en el grado 2
- sinarctg3x=3x/√1+9x^2
- sin(arctg3x)=3x dividir por √1+9x^2
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Expresiones semejantes
- sin(arctg3x)=3x/√1-9x^2
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Expresiones con funciones
- Seno sin
- sin(x)=1/3
- sin(6*x)=9/8
- sin(2x)=-1/2
- sin(3*x)-cos(3*x)=0
- sin(x)^(2)-sin(x)=0
sin(arctg3x)=3x/√1+9x^2 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
3*x 2
sin(atan(3*x)) = ----- + 9*x
___
\/ 1
$$\sin{\left(\operatorname{atan}{\left(3 x \right)} \right)} = 9 x^{2} + \frac{3 x}{\sqrt{1}}$$
Respuesta rápida
[src]
x1 = 0
$$x_{1} = 0$$
_____________ / _____________ \
/ ____ | / ____ |
/ 17 \/ 33 | ___ / 17 \/ 33 |
3 / -- + ------ |\/ 3 *3 / -- + ------ ___ |
2 1 \/ 27 9 | \/ 27 9 \/ 3 |
x2 = - - - --------------------- + ------------------ + I*|------------------------ + ---------------------|
9 _____________ 6 | 6 _____________|
/ ____ | / ____ |
/ 17 \/ 33 | / 17 \/ 33 |
27*3 / -- + ------ | 27*3 / -- + ------ |
\/ 27 9 \ \/ 27 9 /
$$x_{2} = - \frac{2}{9} - \frac{1}{27 \sqrt[3]{\frac{17}{27} + \frac{\sqrt{33}}{9}}} + \frac{\sqrt[3]{\frac{17}{27} + \frac{\sqrt{33}}{9}}}{6} + i \left(\frac{\sqrt{3}}{27 \sqrt[3]{\frac{17}{27} + \frac{\sqrt{33}}{9}}} + \frac{\sqrt{3} \sqrt[3]{\frac{17}{27} + \frac{\sqrt{33}}{9}}}{6}\right)$$
_____________ / _____________ \
/ ____ | / ____ |
/ 17 \/ 33 | ___ / 17 \/ 33 |
3 / -- + ------ | \/ 3 *3 / -- + ------ ___ |
2 1 \/ 27 9 | \/ 27 9 \/ 3 |
x3 = - - - --------------------- + ------------------ + I*|- ------------------------ - ---------------------|
9 _____________ 6 | 6 _____________|
/ ____ | / ____ |
/ 17 \/ 33 | / 17 \/ 33 |
27*3 / -- + ------ | 27*3 / -- + ------ |
\/ 27 9 \ \/ 27 9 /
$$x_{3} = - \frac{2}{9} - \frac{1}{27 \sqrt[3]{\frac{17}{27} + \frac{\sqrt{33}}{9}}} + \frac{\sqrt[3]{\frac{17}{27} + \frac{\sqrt{33}}{9}}}{6} + i \left(- \frac{\sqrt{3} \sqrt[3]{\frac{17}{27} + \frac{\sqrt{33}}{9}}}{6} - \frac{\sqrt{3}}{27 \sqrt[3]{\frac{17}{27} + \frac{\sqrt{33}}{9}}}\right)$$
x3 = -2/9 - 1/(27*(17/27 + sqrt(33)/9)^(1/3)) + (17/27 + sqrt(33)/9)^(1/3)/6 + i*(-sqrt(3)*(17/27 + sqrt(33)/9)^(1/3)/6 - sqrt(3)/(27*(17/27 + sqrt(33)/9)^(1/3)))
Suma y producto de raíces
[src]
suma
_____________ / _____________ \ _____________ / _____________ \
/ ____ | / ____ | / ____ | / ____ |
/ 17 \/ 33 | ___ / 17 \/ 33 | / 17 \/ 33 | ___ / 17 \/ 33 |
3 / -- + ------ |\/ 3 *3 / -- + ------ ___ | 3 / -- + ------ | \/ 3 *3 / -- + ------ ___ |
2 1 \/ 27 9 | \/ 27 9 \/ 3 | 2 1 \/ 27 9 | \/ 27 9 \/ 3 |
- - - --------------------- + ------------------ + I*|------------------------ + ---------------------| + - - - --------------------- + ------------------ + I*|- ------------------------ - ---------------------|
9 _____________ 6 | 6 _____________| 9 _____________ 6 | 6 _____________|
/ ____ | / ____ | / ____ | / ____ |
/ 17 \/ 33 | / 17 \/ 33 | / 17 \/ 33 | / 17 \/ 33 |
27*3 / -- + ------ | 27*3 / -- + ------ | 27*3 / -- + ------ | 27*3 / -- + ------ |
\/ 27 9 \ \/ 27 9 / \/ 27 9 \ \/ 27 9 /
$$\left(- \frac{2}{9} - \frac{1}{27 \sqrt[3]{\frac{17}{27} + \frac{\sqrt{33}}{9}}} + \frac{\sqrt[3]{\frac{17}{27} + \frac{\sqrt{33}}{9}}}{6} + i \left(- \frac{\sqrt{3} \sqrt[3]{\frac{17}{27} + \frac{\sqrt{33}}{9}}}{6} - \frac{\sqrt{3}}{27 \sqrt[3]{\frac{17}{27} + \frac{\sqrt{33}}{9}}}\right)\right) + \left(- \frac{2}{9} - \frac{1}{27 \sqrt[3]{\frac{17}{27} + \frac{\sqrt{33}}{9}}} + \frac{\sqrt[3]{\frac{17}{27} + \frac{\sqrt{33}}{9}}}{6} + i \left(\frac{\sqrt{3}}{27 \sqrt[3]{\frac{17}{27} + \frac{\sqrt{33}}{9}}} + \frac{\sqrt{3} \sqrt[3]{\frac{17}{27} + \frac{\sqrt{33}}{9}}}{6}\right)\right)$$
=
_____________ / _____________ \ / _____________ \
/ ____ | / ____ | | / ____ |
/ 17 \/ 33 | ___ / 17 \/ 33 | | ___ / 17 \/ 33 |
3 / -- + ------ | \/ 3 *3 / -- + ------ ___ | |\/ 3 *3 / -- + ------ ___ |
4 2 \/ 27 9 | \/ 27 9 \/ 3 | | \/ 27 9 \/ 3 |
- - - --------------------- + ------------------ + I*|- ------------------------ - ---------------------| + I*|------------------------ + ---------------------|
9 _____________ 3 | 6 _____________| | 6 _____________|
/ ____ | / ____ | | / ____ |
/ 17 \/ 33 | / 17 \/ 33 | | / 17 \/ 33 |
27*3 / -- + ------ | 27*3 / -- + ------ | | 27*3 / -- + ------ |
\/ 27 9 \ \/ 27 9 / \ \/ 27 9 /
$$- \frac{4}{9} - \frac{2}{27 \sqrt[3]{\frac{17}{27} + \frac{\sqrt{33}}{9}}} + \frac{\sqrt[3]{\frac{17}{27} + \frac{\sqrt{33}}{9}}}{3} + i \left(- \frac{\sqrt{3} \sqrt[3]{\frac{17}{27} + \frac{\sqrt{33}}{9}}}{6} - \frac{\sqrt{3}}{27 \sqrt[3]{\frac{17}{27} + \frac{\sqrt{33}}{9}}}\right) + i \left(\frac{\sqrt{3}}{27 \sqrt[3]{\frac{17}{27} + \frac{\sqrt{33}}{9}}} + \frac{\sqrt{3} \sqrt[3]{\frac{17}{27} + \frac{\sqrt{33}}{9}}}{6}\right)$$
producto
/ _____________ / _____________ \\ / _____________ / _____________ \\ | / ____ | / ____ || | / ____ | / ____ || | / 17 \/ 33 | ___ / 17 \/ 33 || | / 17 \/ 33 | ___ / 17 \/ 33 || | 3 / -- + ------ |\/ 3 *3 / -- + ------ ___ || | 3 / -- + ------ | \/ 3 *3 / -- + ------ ___ || | 2 1 \/ 27 9 | \/ 27 9 \/ 3 || | 2 1 \/ 27 9 | \/ 27 9 \/ 3 || 0*|- - - --------------------- + ------------------ + I*|------------------------ + ---------------------||*|- - - --------------------- + ------------------ + I*|- ------------------------ - ---------------------|| | 9 _____________ 6 | 6 _____________|| | 9 _____________ 6 | 6 _____________|| | / ____ | / ____ || | / ____ | / ____ || | / 17 \/ 33 | / 17 \/ 33 || | / 17 \/ 33 | / 17 \/ 33 || | 27*3 / -- + ------ | 27*3 / -- + ------ || | 27*3 / -- + ------ | 27*3 / -- + ------ || \ \/ 27 9 \ \/ 27 9 // \ \/ 27 9 \ \/ 27 9 //
$$0 \left(- \frac{2}{9} - \frac{1}{27 \sqrt[3]{\frac{17}{27} + \frac{\sqrt{33}}{9}}} + \frac{\sqrt[3]{\frac{17}{27} + \frac{\sqrt{33}}{9}}}{6} + i \left(\frac{\sqrt{3}}{27 \sqrt[3]{\frac{17}{27} + \frac{\sqrt{33}}{9}}} + \frac{\sqrt{3} \sqrt[3]{\frac{17}{27} + \frac{\sqrt{33}}{9}}}{6}\right)\right) \left(- \frac{2}{9} - \frac{1}{27 \sqrt[3]{\frac{17}{27} + \frac{\sqrt{33}}{9}}} + \frac{\sqrt[3]{\frac{17}{27} + \frac{\sqrt{33}}{9}}}{6} + i \left(- \frac{\sqrt{3} \sqrt[3]{\frac{17}{27} + \frac{\sqrt{33}}{9}}}{6} - \frac{\sqrt{3}}{27 \sqrt[3]{\frac{17}{27} + \frac{\sqrt{33}}{9}}}\right)\right)$$
=
0
$$0$$
0
Respuesta numérica
[src]
x1 = 0
x2 = -0.0760518312179873 + 0.371714169346646*i
x3 = -0.0760518312179873 - 0.371714169346646*i
x3 = -0.0760518312179873 - 0.371714169346646*i