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- La ecuación:
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Ecuación x+(8-3x)=12
-
Ecuación x=(x+1)/2
-
Ecuación 350-(45+a)=60
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Ecuación x^x=x
- Expresar {x} en función de y en la ecuación:
- 15*x-5*y=-5
- 11*x-12*y=11
- 8*x-13*y=-12
- 19*x-2*y=-17
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Expresiones idénticas
- √(x^ dos -6x- siete)- uno /√(dos -3x)= cero
- √(x al cuadrado menos 6x menos 7) menos 1 dividir por √(2 menos 3x) es igual a 0
- √(x en el grado dos menos 6x menos siete) menos uno dividir por √(dos menos 3x) es igual a cero
- √(x2-6x-7)-1/√(2-3x)=0
- √x2-6x-7-1/√2-3x=0
- √(x²-6x-7)-1/√(2-3x)=0
- √(x en el grado 2-6x-7)-1/√(2-3x)=0
- √x^2-6x-7-1/√2-3x=0
- √(x^2-6x-7)-1/√(2-3x)=O
- √(x^2-6x-7)-1 dividir por √(2-3x)=0
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Expresiones semejantes
- √(x^2-6x-7)+1/√(2-3x)=0
- √(x^2-6x-7)-1/√(2+3x)=0
- √(x^2+6x-7)-1/√(2-3x)=0
- √(x^2-6x+7)-1/√(2-3x)=0
√(x^2-6x-7)-1/√(2-3x)=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
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______________
/ 2 1
\/ x - 6*x - 7 - ----------- = 0
_________
\/ 2 - 3*x
$$\sqrt{\left(x^{2} - 6 x\right) - 7} - \frac{1}{\sqrt{2 - 3 x}} = 0$$
Suma y producto de raíces
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suma
/ 1 \ / / 1 \ \
481*re|-------------------------------------------| |481*im|-------------------------------------------| / / ________\\ / / ________\\| / / ________\\ / / ________\\
| ______________________| | | ______________________| | |27*\/ 204091 || | |27*\/ 204091 ||| | |27*\/ 204091 || | |27*\/ 204091 ||
|/ ___\ / ________ | | |/ ___\ / ________ | |atan|-------------|| |atan|-------------||| |atan|-------------|| |atan|-------------||
|| 1 I*\/ 3 | / 17215 I*\/ 204091 | | || 1 I*\/ 3 | / 17215 I*\/ 204091 | _____ | \ 17215 /| ______ | \ 17215 /|| _____ | \ 17215 /| ______ | \ 17215 /|
||- - + -------|*3 / ----- + ------------ | | ||- - + -------|*3 / ----- + ------------ | \/ 481 *sin|-------------------| \/ 1443 *cos|-------------------|| \/ 481 *cos|-------------------| \/ 1443 *sin|-------------------|
20 \\ 2 2 / \/ 1458 54 / | \\ 2 2 / \/ 1458 54 / \ 3 / \ 3 /| \ 3 / \ 3 /
-- + --------------------------------------------------- + I*|--------------------------------------------------- - -------------------------------- + ---------------------------------| - -------------------------------- - ---------------------------------
9 81 \ 81 18 18 / 18 18
$$\frac{481 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{17215}{1458} + \frac{\sqrt{204091} i}{54}}}\right)}}{81} - \frac{\sqrt{481} \cos{\left(\frac{\operatorname{atan}{\left(\frac{27 \sqrt{204091}}{17215} \right)}}{3} \right)}}{18} - \frac{\sqrt{1443} \sin{\left(\frac{\operatorname{atan}{\left(\frac{27 \sqrt{204091}}{17215} \right)}}{3} \right)}}{18} + \frac{20}{9} + i \left(\frac{481 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{17215}{1458} + \frac{\sqrt{204091} i}{54}}}\right)}}{81} - \frac{\sqrt{481} \sin{\left(\frac{\operatorname{atan}{\left(\frac{27 \sqrt{204091}}{17215} \right)}}{3} \right)}}{18} + \frac{\sqrt{1443} \cos{\left(\frac{\operatorname{atan}{\left(\frac{27 \sqrt{204091}}{17215} \right)}}{3} \right)}}{18}\right)$$
=
/ 1 \ / / 1 \ \
481*re|-------------------------------------------| |481*im|-------------------------------------------| / / ________\\ / / ________\\| / / ________\\ / / ________\\
| ______________________| | | ______________________| | |27*\/ 204091 || | |27*\/ 204091 ||| | |27*\/ 204091 || | |27*\/ 204091 ||
|/ ___\ / ________ | | |/ ___\ / ________ | |atan|-------------|| |atan|-------------||| |atan|-------------|| |atan|-------------||
|| 1 I*\/ 3 | / 17215 I*\/ 204091 | | || 1 I*\/ 3 | / 17215 I*\/ 204091 | _____ | \ 17215 /| ______ | \ 17215 /|| _____ | \ 17215 /| ______ | \ 17215 /|
||- - + -------|*3 / ----- + ------------ | | ||- - + -------|*3 / ----- + ------------ | \/ 481 *sin|-------------------| \/ 1443 *cos|-------------------|| \/ 481 *cos|-------------------| \/ 1443 *sin|-------------------|
20 \\ 2 2 / \/ 1458 54 / | \\ 2 2 / \/ 1458 54 / \ 3 / \ 3 /| \ 3 / \ 3 /
-- + --------------------------------------------------- + I*|--------------------------------------------------- - -------------------------------- + ---------------------------------| - -------------------------------- - ---------------------------------
9 81 \ 81 18 18 / 18 18
$$\frac{481 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{17215}{1458} + \frac{\sqrt{204091} i}{54}}}\right)}}{81} - \frac{\sqrt{481} \cos{\left(\frac{\operatorname{atan}{\left(\frac{27 \sqrt{204091}}{17215} \right)}}{3} \right)}}{18} - \frac{\sqrt{1443} \sin{\left(\frac{\operatorname{atan}{\left(\frac{27 \sqrt{204091}}{17215} \right)}}{3} \right)}}{18} + \frac{20}{9} + i \left(\frac{481 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{17215}{1458} + \frac{\sqrt{204091} i}{54}}}\right)}}{81} - \frac{\sqrt{481} \sin{\left(\frac{\operatorname{atan}{\left(\frac{27 \sqrt{204091}}{17215} \right)}}{3} \right)}}{18} + \frac{\sqrt{1443} \cos{\left(\frac{\operatorname{atan}{\left(\frac{27 \sqrt{204091}}{17215} \right)}}{3} \right)}}{18}\right)$$
producto
/ 1 \ / / 1 \ \
481*re|-------------------------------------------| |481*im|-------------------------------------------| / / ________\\ / / ________\\| / / ________\\ / / ________\\
| ______________________| | | ______________________| | |27*\/ 204091 || | |27*\/ 204091 ||| | |27*\/ 204091 || | |27*\/ 204091 ||
|/ ___\ / ________ | | |/ ___\ / ________ | |atan|-------------|| |atan|-------------||| |atan|-------------|| |atan|-------------||
|| 1 I*\/ 3 | / 17215 I*\/ 204091 | | || 1 I*\/ 3 | / 17215 I*\/ 204091 | _____ | \ 17215 /| ______ | \ 17215 /|| _____ | \ 17215 /| ______ | \ 17215 /|
||- - + -------|*3 / ----- + ------------ | | ||- - + -------|*3 / ----- + ------------ | \/ 481 *sin|-------------------| \/ 1443 *cos|-------------------|| \/ 481 *cos|-------------------| \/ 1443 *sin|-------------------|
20 \\ 2 2 / \/ 1458 54 / | \\ 2 2 / \/ 1458 54 / \ 3 / \ 3 /| \ 3 / \ 3 /
-- + --------------------------------------------------- + I*|--------------------------------------------------- - -------------------------------- + ---------------------------------| - -------------------------------- - ---------------------------------
9 81 \ 81 18 18 / 18 18
$$\frac{481 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{17215}{1458} + \frac{\sqrt{204091} i}{54}}}\right)}}{81} - \frac{\sqrt{481} \cos{\left(\frac{\operatorname{atan}{\left(\frac{27 \sqrt{204091}}{17215} \right)}}{3} \right)}}{18} - \frac{\sqrt{1443} \sin{\left(\frac{\operatorname{atan}{\left(\frac{27 \sqrt{204091}}{17215} \right)}}{3} \right)}}{18} + \frac{20}{9} + i \left(\frac{481 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{17215}{1458} + \frac{\sqrt{204091} i}{54}}}\right)}}{81} - \frac{\sqrt{481} \sin{\left(\frac{\operatorname{atan}{\left(\frac{27 \sqrt{204091}}{17215} \right)}}{3} \right)}}{18} + \frac{\sqrt{1443} \cos{\left(\frac{\operatorname{atan}{\left(\frac{27 \sqrt{204091}}{17215} \right)}}{3} \right)}}{18}\right)$$
=
/ / ________\ \
| |27*\/ 204091 | |
|atan|-------------| |
_____ | \ 17215 / pi|
2*\/ 481 *sin|------------------- + --|
20 \ 3 6 /
-- - ---------------------------------------
9 9
$$- \frac{2 \sqrt{481} \sin{\left(\frac{\operatorname{atan}{\left(\frac{27 \sqrt{204091}}{17215} \right)}}{3} + \frac{\pi}{6} \right)}}{9} + \frac{20}{9}$$
20/9 - 2*sqrt(481)*sin(atan(27*sqrt(204091)/17215)/3 + pi/6)/9
Respuesta rápida
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/ 1 \ / / 1 \ \
481*re|-------------------------------------------| |481*im|-------------------------------------------| / / ________\\ / / ________\\| / / ________\\ / / ________\\
| ______________________| | | ______________________| | |27*\/ 204091 || | |27*\/ 204091 ||| | |27*\/ 204091 || | |27*\/ 204091 ||
|/ ___\ / ________ | | |/ ___\ / ________ | |atan|-------------|| |atan|-------------||| |atan|-------------|| |atan|-------------||
|| 1 I*\/ 3 | / 17215 I*\/ 204091 | | || 1 I*\/ 3 | / 17215 I*\/ 204091 | _____ | \ 17215 /| ______ | \ 17215 /|| _____ | \ 17215 /| ______ | \ 17215 /|
||- - + -------|*3 / ----- + ------------ | | ||- - + -------|*3 / ----- + ------------ | \/ 481 *sin|-------------------| \/ 1443 *cos|-------------------|| \/ 481 *cos|-------------------| \/ 1443 *sin|-------------------|
20 \\ 2 2 / \/ 1458 54 / | \\ 2 2 / \/ 1458 54 / \ 3 / \ 3 /| \ 3 / \ 3 /
x1 = -- + --------------------------------------------------- + I*|--------------------------------------------------- - -------------------------------- + ---------------------------------| - -------------------------------- - ---------------------------------
9 81 \ 81 18 18 / 18 18
$$x_{1} = \frac{481 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{17215}{1458} + \frac{\sqrt{204091} i}{54}}}\right)}}{81} - \frac{\sqrt{481} \cos{\left(\frac{\operatorname{atan}{\left(\frac{27 \sqrt{204091}}{17215} \right)}}{3} \right)}}{18} - \frac{\sqrt{1443} \sin{\left(\frac{\operatorname{atan}{\left(\frac{27 \sqrt{204091}}{17215} \right)}}{3} \right)}}{18} + \frac{20}{9} + i \left(\frac{481 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{17215}{1458} + \frac{\sqrt{204091} i}{54}}}\right)}}{81} - \frac{\sqrt{481} \sin{\left(\frac{\operatorname{atan}{\left(\frac{27 \sqrt{204091}}{17215} \right)}}{3} \right)}}{18} + \frac{\sqrt{1443} \cos{\left(\frac{\operatorname{atan}{\left(\frac{27 \sqrt{204091}}{17215} \right)}}{3} \right)}}{18}\right)$$
x1 = 481*re(1/((-1/2 + sqrt(3)*i/2)*(17215/1458 + sqrt(204091)*i/54)^(1/3)))/81 - sqrt(481)*cos(atan(27*sqrt(204091)/17215)/3)/18 - sqrt(1443)*sin(atan(27*sqrt(204091)/17215)/3)/18 + 20/9 + i*(481*im(1/((-1/2 + sqrt(3)*i/2)*(17215/1458 + sqrt(204091)*i/54)^(1/3)))/81 - sqrt(481)*sin(atan(27*sqrt(204091)/17215)/3)/18 + sqrt(1443)*cos(atan(27*sqrt(204091)/17215)/3)/18)