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- La ecuación:
-
Ecuación x^3+3x^2-x-3=0
-
Ecuación (x+9)^2=36*x
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Ecuación x^3-6x^2+11x-6=0
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Ecuación a+120=2000/5
- Expresar {x} en función de y en la ecuación:
- -6*x-12*y=9
- 9*x-1*y=17
- 10*x-2*y=11
- 12*x-3*y=-2
- Derivada de:
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sqrt(1-x^2)
- Límite de la función:
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sqrt(1-x^2)
- Integral de d{x}:
- sqrt(1-x^2)
-
Expresiones idénticas
- cuarenta y nueve *sqrt(uno -(nueve / cuarenta y nueve)*x^ dos)- cuarenta =sqrt(uno -x^ dos)
- 49 multiplicar por raíz cuadrada de (1 menos (9 dividir por 49) multiplicar por x al cuadrado ) menos 40 es igual a raíz cuadrada de (1 menos x al cuadrado )
- cuarenta y nueve multiplicar por raíz cuadrada de (uno menos (nueve dividir por cuarenta y nueve) multiplicar por x en el grado dos) menos cuarenta es igual a raíz cuadrada de (uno menos x en el grado dos)
- 49*√(1-(9/49)*x^2)-40=√(1-x^2)
- 49*sqrt(1-(9/49)*x2)-40=sqrt(1-x2)
- 49*sqrt1-9/49*x2-40=sqrt1-x2
- 49*sqrt(1-(9/49)*x²)-40=sqrt(1-x²)
- 49*sqrt(1-(9/49)*x en el grado 2)-40=sqrt(1-x en el grado 2)
- 49sqrt(1-(9/49)x^2)-40=sqrt(1-x^2)
- 49sqrt(1-(9/49)x2)-40=sqrt(1-x2)
- 49sqrt1-9/49x2-40=sqrt1-x2
- 49sqrt1-9/49x^2-40=sqrt1-x^2
- 49*sqrt(1-(9 dividir por 49)*x^2)-40=sqrt(1-x^2)
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Expresiones semejantes
- 49*sqrt(1+(9/49)*x^2)-40=sqrt(1-x^2)
- 49*sqrt(1-(9/49)*x^2)+40=sqrt(1-x^2)
- 49*sqrt(1-(9/49)*x^2)-40=sqrt(1+x^2)
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Expresiones con funciones
- Raíz cuadrada sqrt
- sqrt(1-x)=sqrt[3](x-2)
- sqrt(x)^1=0
- sqrt(x-2)+sqrt(x+6)=2
- sqrt(x-2)+sqrt(4-x)=x^2-6*x+11
- sqrt(5x+1)=sqrt(x+5)
- Raíz cuadrada sqrt
- sqrt(1-x)=sqrt[3](x-2)
- sqrt(x)^1=0
- sqrt(x-2)+sqrt(x+6)=2
- sqrt(x-2)+sqrt(4-x)=x^2-6*x+11
- sqrt(5x+1)=sqrt(x+5)
49*sqrt(1-(9/49)*x^2)-40=sqrt(1-x^2) la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Suma y producto de raíces
[src]
suma
/ / ___\\ / / ___\\ / / ___\\ / / ___\\ / / ___\\ / / ___\\ / / ___\\ / / ___\\
| |7*\/ 2 || | |7*\/ 2 || | |7*\/ 2 || | |7*\/ 2 || | |7*\/ 2 || | |7*\/ 2 || | |7*\/ 2 || | |7*\/ 2 ||
|atan|-------|| |atan|-------|| |atan|-------|| |atan|-------|| |atan|-------|| |atan|-------|| |atan|-------|| |atan|-------||
___ 3/4 | \ 109 /| ___ 3/4 | \ 109 /| ___ 3/4 | \ 109 /| ___ 3/4 | \ 109 /| ___ 3/4 | \ 109 /| ___ 3/4 | \ 109 /| ___ 3/4 | \ 109 /| ___ 3/4 | \ 109 /|
\/ 6 *11 *cos|-------------| I*\/ 6 *11 *sin|-------------| \/ 6 *11 *cos|-------------| I*\/ 6 *11 *sin|-------------| \/ 6 *11 *cos|-------------| I*\/ 6 *11 *sin|-------------| \/ 6 *11 *cos|-------------| I*\/ 6 *11 *sin|-------------|
\ 2 / \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / \ 2 /
- ------------------------------ - -------------------------------- + - ------------------------------ + -------------------------------- + ------------------------------ - -------------------------------- + ------------------------------ + --------------------------------
11 11 11 11 11 11 11 11
$$\left(\left(\frac{11^{\frac{3}{4}} \sqrt{6} \cos{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{2}}{109} \right)}}{2} \right)}}{11} - \frac{11^{\frac{3}{4}} \sqrt{6} i \sin{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{2}}{109} \right)}}{2} \right)}}{11}\right) + \left(\left(- \frac{11^{\frac{3}{4}} \sqrt{6} \cos{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{2}}{109} \right)}}{2} \right)}}{11} - \frac{11^{\frac{3}{4}} \sqrt{6} i \sin{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{2}}{109} \right)}}{2} \right)}}{11}\right) + \left(- \frac{11^{\frac{3}{4}} \sqrt{6} \cos{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{2}}{109} \right)}}{2} \right)}}{11} + \frac{11^{\frac{3}{4}} \sqrt{6} i \sin{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{2}}{109} \right)}}{2} \right)}}{11}\right)\right)\right) + \left(\frac{11^{\frac{3}{4}} \sqrt{6} \cos{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{2}}{109} \right)}}{2} \right)}}{11} + \frac{11^{\frac{3}{4}} \sqrt{6} i \sin{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{2}}{109} \right)}}{2} \right)}}{11}\right)$$
=
0
$$0$$
producto
/ / / ___\\ / / ___\\\ / / / ___\\ / / ___\\\ / / / ___\\ / / ___\\\ / / / ___\\ / / ___\\\ | | |7*\/ 2 || | |7*\/ 2 ||| | | |7*\/ 2 || | |7*\/ 2 ||| | | |7*\/ 2 || | |7*\/ 2 ||| | | |7*\/ 2 || | |7*\/ 2 ||| | |atan|-------|| |atan|-------||| | |atan|-------|| |atan|-------||| | |atan|-------|| |atan|-------||| | |atan|-------|| |atan|-------||| | ___ 3/4 | \ 109 /| ___ 3/4 | \ 109 /|| | ___ 3/4 | \ 109 /| ___ 3/4 | \ 109 /|| | ___ 3/4 | \ 109 /| ___ 3/4 | \ 109 /|| | ___ 3/4 | \ 109 /| ___ 3/4 | \ 109 /|| | \/ 6 *11 *cos|-------------| I*\/ 6 *11 *sin|-------------|| | \/ 6 *11 *cos|-------------| I*\/ 6 *11 *sin|-------------|| |\/ 6 *11 *cos|-------------| I*\/ 6 *11 *sin|-------------|| |\/ 6 *11 *cos|-------------| I*\/ 6 *11 *sin|-------------|| | \ 2 / \ 2 /| | \ 2 / \ 2 /| | \ 2 / \ 2 /| | \ 2 / \ 2 /| |- ------------------------------ - --------------------------------|*|- ------------------------------ + --------------------------------|*|------------------------------ - --------------------------------|*|------------------------------ + --------------------------------| \ 11 11 / \ 11 11 / \ 11 11 / \ 11 11 /
$$\left(- \frac{11^{\frac{3}{4}} \sqrt{6} \cos{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{2}}{109} \right)}}{2} \right)}}{11} - \frac{11^{\frac{3}{4}} \sqrt{6} i \sin{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{2}}{109} \right)}}{2} \right)}}{11}\right) \left(- \frac{11^{\frac{3}{4}} \sqrt{6} \cos{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{2}}{109} \right)}}{2} \right)}}{11} + \frac{11^{\frac{3}{4}} \sqrt{6} i \sin{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{2}}{109} \right)}}{2} \right)}}{11}\right) \left(\frac{11^{\frac{3}{4}} \sqrt{6} \cos{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{2}}{109} \right)}}{2} \right)}}{11} - \frac{11^{\frac{3}{4}} \sqrt{6} i \sin{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{2}}{109} \right)}}{2} \right)}}{11}\right) \left(\frac{11^{\frac{3}{4}} \sqrt{6} \cos{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{2}}{109} \right)}}{2} \right)}}{11} + \frac{11^{\frac{3}{4}} \sqrt{6} i \sin{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{2}}{109} \right)}}{2} \right)}}{11}\right)$$
=
36 -- 11
$$\frac{36}{11}$$
36/11
Respuesta rápida
[src]
/ / ___\\ / / ___\\
| |7*\/ 2 || | |7*\/ 2 ||
|atan|-------|| |atan|-------||
___ 3/4 | \ 109 /| ___ 3/4 | \ 109 /|
\/ 6 *11 *cos|-------------| I*\/ 6 *11 *sin|-------------|
\ 2 / \ 2 /
x1 = - ------------------------------ - --------------------------------
11 11
$$x_{1} = - \frac{11^{\frac{3}{4}} \sqrt{6} \cos{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{2}}{109} \right)}}{2} \right)}}{11} - \frac{11^{\frac{3}{4}} \sqrt{6} i \sin{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{2}}{109} \right)}}{2} \right)}}{11}$$
/ / ___\\ / / ___\\
| |7*\/ 2 || | |7*\/ 2 ||
|atan|-------|| |atan|-------||
___ 3/4 | \ 109 /| ___ 3/4 | \ 109 /|
\/ 6 *11 *cos|-------------| I*\/ 6 *11 *sin|-------------|
\ 2 / \ 2 /
x2 = - ------------------------------ + --------------------------------
11 11
$$x_{2} = - \frac{11^{\frac{3}{4}} \sqrt{6} \cos{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{2}}{109} \right)}}{2} \right)}}{11} + \frac{11^{\frac{3}{4}} \sqrt{6} i \sin{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{2}}{109} \right)}}{2} \right)}}{11}$$
/ / ___\\ / / ___\\
| |7*\/ 2 || | |7*\/ 2 ||
|atan|-------|| |atan|-------||
___ 3/4 | \ 109 /| ___ 3/4 | \ 109 /|
\/ 6 *11 *cos|-------------| I*\/ 6 *11 *sin|-------------|
\ 2 / \ 2 /
x3 = ------------------------------ - --------------------------------
11 11
$$x_{3} = \frac{11^{\frac{3}{4}} \sqrt{6} \cos{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{2}}{109} \right)}}{2} \right)}}{11} - \frac{11^{\frac{3}{4}} \sqrt{6} i \sin{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{2}}{109} \right)}}{2} \right)}}{11}$$
/ / ___\\ / / ___\\
| |7*\/ 2 || | |7*\/ 2 ||
|atan|-------|| |atan|-------||
___ 3/4 | \ 109 /| ___ 3/4 | \ 109 /|
\/ 6 *11 *cos|-------------| I*\/ 6 *11 *sin|-------------|
\ 2 / \ 2 /
x4 = ------------------------------ + --------------------------------
11 11
$$x_{4} = \frac{11^{\frac{3}{4}} \sqrt{6} \cos{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{2}}{109} \right)}}{2} \right)}}{11} + \frac{11^{\frac{3}{4}} \sqrt{6} i \sin{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{2}}{109} \right)}}{2} \right)}}{11}$$
x4 = 11^(3/4)*sqrt(6)*cos(atan(7*sqrt(2)/109)/2)/11 + 11^(3/4)*sqrt(6)*i*sin(atan(7*sqrt(2)/109)/2)/11
Respuesta numérica
[src]
x1 = 1.34363703432671 - 0.0608899618352576*i
x2 = -1.34363703432671 + 0.0608899618352576*i
x3 = 1.34363703432671 + 0.0608899618352576*i
x4 = -1.34363703432671 - 0.0608899618352576*i
x4 = -1.34363703432671 - 0.0608899618352576*i