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Ecuación x=(x+1)/2
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Ecuación 350-(45+a)=60
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Ecuación x^x=x
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Ecuación x^2+8*x-13=0
- Expresar {x} en función de y en la ecuación:
- 11*x-12*y=11
- 8*x-13*y=-12
- 19*x-2*y=-17
- -16*x-2*y=4
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Expresiones idénticas
- (x- cinco)*((x- siete)/ tres)^ dos +(x- cinco)^ tres - dos *((x- siete)/ tres)^ dos - sesenta y cuatro = cero
- (x menos 5) multiplicar por ((x menos 7) dividir por 3) al cuadrado más (x menos 5) al cubo menos 2 multiplicar por ((x menos 7) dividir por 3) al cuadrado menos 64 es igual a 0
- (x menos cinco) multiplicar por ((x menos siete) dividir por tres) en el grado dos más (x menos cinco) en el grado tres menos dos multiplicar por ((x menos siete) dividir por tres) en el grado dos menos sesenta y cuatro es igual a cero
- (x-5)*((x-7)/3)2+(x-5)3-2*((x-7)/3)2-64=0
- x-5*x-7/32+x-53-2*x-7/32-64=0
- (x-5)*((x-7)/3)²+(x-5)³-2*((x-7)/3)²-64=0
- (x-5)*((x-7)/3) en el grado 2+(x-5) en el grado 3-2*((x-7)/3) en el grado 2-64=0
- (x-5)((x-7)/3)^2+(x-5)^3-2((x-7)/3)^2-64=0
- (x-5)((x-7)/3)2+(x-5)3-2((x-7)/3)2-64=0
- x-5x-7/32+x-53-2x-7/32-64=0
- x-5x-7/3^2+x-5^3-2x-7/3^2-64=0
- (x-5)*((x-7)/3)^2+(x-5)^3-2*((x-7)/3)^2-64=O
- (x-5)*((x-7) dividir por 3)^2+(x-5)^3-2*((x-7) dividir por 3)^2-64=0
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Expresiones semejantes
- (x-5)*((x-7)/3)^2-(x-5)^3-2*((x-7)/3)^2-64=0
- (x-5)*((x-7)/3)^2+(x-5)^3-2*((x-7)/3)^2+64=0
- (x-5)*((x-7)/3)^2+(x-5)^3+2*((x-7)/3)^2-64=0
- (x-5)*((x+7)/3)^2+(x-5)^3-2*((x-7)/3)^2-64=0
- (x+5)*((x-7)/3)^2+(x-5)^3-2*((x-7)/3)^2-64=0
- (x-5)*((x-7)/3)^2+(x-5)^3-2*((x+7)/3)^2-64=0
- (x-5)*((x-7)/3)^2+(x+5)^3-2*((x-7)/3)^2-64=0
(x-5)*((x-7)/3)^2+(x-5)^3-2*((x-7)/3)^2-64=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
2 2
/x - 7\ 3 /x - 7\
(x - 5)*|-----| + (x - 5) - 2*|-----| - 64 = 0
\ 3 / \ 3 /
$$\left(- 2 \left(\frac{x - 7}{3}\right)^{2} + \left(\left(\frac{x - 7}{3}\right)^{2} \left(x - 5\right) + \left(x - 5\right)^{3}\right)\right) - 64 = 0$$
Respuesta rápida
[src]
___________________ / ___________________\
/ ______ | / ______ |
/ 3636 9*\/ 6529 | ___ / 3636 9*\/ 6529 |
3 / ---- + ---------- | ___ \/ 3 *3 / ---- + ---------- |
26 \/ 125 25 9 | 9*\/ 3 \/ 125 25 |
x1 = -- - ------------------------ + --------------------------- + I*|- --------------------------- - ------------------------------|
5 2 ___________________ | ___________________ 2 |
/ ______ | / ______ |
/ 3636 9*\/ 6529 | / 3636 9*\/ 6529 |
50*3 / ---- + ---------- | 50*3 / ---- + ---------- |
\/ 125 25 \ \/ 125 25 /
$$x_{1} = - \frac{\sqrt[3]{\frac{3636}{125} + \frac{9 \sqrt{6529}}{25}}}{2} + \frac{9}{50 \sqrt[3]{\frac{3636}{125} + \frac{9 \sqrt{6529}}{25}}} + \frac{26}{5} + i \left(- \frac{\sqrt{3} \sqrt[3]{\frac{3636}{125} + \frac{9 \sqrt{6529}}{25}}}{2} - \frac{9 \sqrt{3}}{50 \sqrt[3]{\frac{3636}{125} + \frac{9 \sqrt{6529}}{25}}}\right)$$
___________________ / ___________________ \
/ ______ | / ______ |
/ 3636 9*\/ 6529 | ___ / 3636 9*\/ 6529 |
3 / ---- + ---------- |\/ 3 *3 / ---- + ---------- ___ |
26 \/ 125 25 9 | \/ 125 25 9*\/ 3 |
x2 = -- - ------------------------ + --------------------------- + I*|------------------------------ + ---------------------------|
5 2 ___________________ | 2 ___________________|
/ ______ | / ______ |
/ 3636 9*\/ 6529 | / 3636 9*\/ 6529 |
50*3 / ---- + ---------- | 50*3 / ---- + ---------- |
\/ 125 25 \ \/ 125 25 /
$$x_{2} = - \frac{\sqrt[3]{\frac{3636}{125} + \frac{9 \sqrt{6529}}{25}}}{2} + \frac{9}{50 \sqrt[3]{\frac{3636}{125} + \frac{9 \sqrt{6529}}{25}}} + \frac{26}{5} + i \left(\frac{9 \sqrt{3}}{50 \sqrt[3]{\frac{3636}{125} + \frac{9 \sqrt{6529}}{25}}} + \frac{\sqrt{3} \sqrt[3]{\frac{3636}{125} + \frac{9 \sqrt{6529}}{25}}}{2}\right)$$
___________________
/ ______
26 / 3636 9*\/ 6529 9
x3 = -- + 3 / ---- + ---------- - ---------------------------
5 \/ 125 25 ___________________
/ ______
/ 3636 9*\/ 6529
25*3 / ---- + ----------
\/ 125 25
$$x_{3} = - \frac{9}{25 \sqrt[3]{\frac{3636}{125} + \frac{9 \sqrt{6529}}{25}}} + \sqrt[3]{\frac{3636}{125} + \frac{9 \sqrt{6529}}{25}} + \frac{26}{5}$$
x3 = -9/(25*(3636/125 + 9*sqrt(6529)/25)^(1/3)) + (3636/125 + 9*sqrt(6529)/25)^(1/3) + 26/5
Suma y producto de raíces
[src]
suma
___________________ / ___________________\ ___________________ / ___________________ \
/ ______ | / ______ | / ______ | / ______ |
/ 3636 9*\/ 6529 | ___ / 3636 9*\/ 6529 | / 3636 9*\/ 6529 | ___ / 3636 9*\/ 6529 | ___________________
3 / ---- + ---------- | ___ \/ 3 *3 / ---- + ---------- | 3 / ---- + ---------- |\/ 3 *3 / ---- + ---------- ___ | / ______
26 \/ 125 25 9 | 9*\/ 3 \/ 125 25 | 26 \/ 125 25 9 | \/ 125 25 9*\/ 3 | 26 / 3636 9*\/ 6529 9
-- - ------------------------ + --------------------------- + I*|- --------------------------- - ------------------------------| + -- - ------------------------ + --------------------------- + I*|------------------------------ + ---------------------------| + -- + 3 / ---- + ---------- - ---------------------------
5 2 ___________________ | ___________________ 2 | 5 2 ___________________ | 2 ___________________| 5 \/ 125 25 ___________________
/ ______ | / ______ | / ______ | / ______ | / ______
/ 3636 9*\/ 6529 | / 3636 9*\/ 6529 | / 3636 9*\/ 6529 | / 3636 9*\/ 6529 | / 3636 9*\/ 6529
50*3 / ---- + ---------- | 50*3 / ---- + ---------- | 50*3 / ---- + ---------- | 50*3 / ---- + ---------- | 25*3 / ---- + ----------
\/ 125 25 \ \/ 125 25 / \/ 125 25 \ \/ 125 25 / \/ 125 25
$$\left(- \frac{9}{25 \sqrt[3]{\frac{3636}{125} + \frac{9 \sqrt{6529}}{25}}} + \sqrt[3]{\frac{3636}{125} + \frac{9 \sqrt{6529}}{25}} + \frac{26}{5}\right) + \left(\left(- \frac{\sqrt[3]{\frac{3636}{125} + \frac{9 \sqrt{6529}}{25}}}{2} + \frac{9}{50 \sqrt[3]{\frac{3636}{125} + \frac{9 \sqrt{6529}}{25}}} + \frac{26}{5} + i \left(- \frac{\sqrt{3} \sqrt[3]{\frac{3636}{125} + \frac{9 \sqrt{6529}}{25}}}{2} - \frac{9 \sqrt{3}}{50 \sqrt[3]{\frac{3636}{125} + \frac{9 \sqrt{6529}}{25}}}\right)\right) + \left(- \frac{\sqrt[3]{\frac{3636}{125} + \frac{9 \sqrt{6529}}{25}}}{2} + \frac{9}{50 \sqrt[3]{\frac{3636}{125} + \frac{9 \sqrt{6529}}{25}}} + \frac{26}{5} + i \left(\frac{9 \sqrt{3}}{50 \sqrt[3]{\frac{3636}{125} + \frac{9 \sqrt{6529}}{25}}} + \frac{\sqrt{3} \sqrt[3]{\frac{3636}{125} + \frac{9 \sqrt{6529}}{25}}}{2}\right)\right)\right)$$
=
/ ___________________ \ / ___________________\
| / ______ | | / ______ |
| ___ / 3636 9*\/ 6529 | | ___ / 3636 9*\/ 6529 |
|\/ 3 *3 / ---- + ---------- ___ | | ___ \/ 3 *3 / ---- + ---------- |
78 | \/ 125 25 9*\/ 3 | | 9*\/ 3 \/ 125 25 |
-- + I*|------------------------------ + ---------------------------| + I*|- --------------------------- - ------------------------------|
5 | 2 ___________________| | ___________________ 2 |
| / ______ | | / ______ |
| / 3636 9*\/ 6529 | | / 3636 9*\/ 6529 |
| 50*3 / ---- + ---------- | | 50*3 / ---- + ---------- |
\ \/ 125 25 / \ \/ 125 25 /
$$\frac{78}{5} + i \left(- \frac{\sqrt{3} \sqrt[3]{\frac{3636}{125} + \frac{9 \sqrt{6529}}{25}}}{2} - \frac{9 \sqrt{3}}{50 \sqrt[3]{\frac{3636}{125} + \frac{9 \sqrt{6529}}{25}}}\right) + i \left(\frac{9 \sqrt{3}}{50 \sqrt[3]{\frac{3636}{125} + \frac{9 \sqrt{6529}}{25}}} + \frac{\sqrt{3} \sqrt[3]{\frac{3636}{125} + \frac{9 \sqrt{6529}}{25}}}{2}\right)$$
producto
/ ___________________ / ___________________\\ / ___________________ / ___________________ \\ | / ______ | / ______ || | / ______ | / ______ || | / 3636 9*\/ 6529 | ___ / 3636 9*\/ 6529 || | / 3636 9*\/ 6529 | ___ / 3636 9*\/ 6529 || / ___________________ \ | 3 / ---- + ---------- | ___ \/ 3 *3 / ---- + ---------- || | 3 / ---- + ---------- |\/ 3 *3 / ---- + ---------- ___ || | / ______ | |26 \/ 125 25 9 | 9*\/ 3 \/ 125 25 || |26 \/ 125 25 9 | \/ 125 25 9*\/ 3 || |26 / 3636 9*\/ 6529 9 | |-- - ------------------------ + --------------------------- + I*|- --------------------------- - ------------------------------||*|-- - ------------------------ + --------------------------- + I*|------------------------------ + ---------------------------||*|-- + 3 / ---- + ---------- - ---------------------------| |5 2 ___________________ | ___________________ 2 || |5 2 ___________________ | 2 ___________________|| |5 \/ 125 25 ___________________| | / ______ | / ______ || | / ______ | / ______ || | / ______ | | / 3636 9*\/ 6529 | / 3636 9*\/ 6529 || | / 3636 9*\/ 6529 | / 3636 9*\/ 6529 || | / 3636 9*\/ 6529 | | 50*3 / ---- + ---------- | 50*3 / ---- + ---------- || | 50*3 / ---- + ---------- | 50*3 / ---- + ---------- || | 25*3 / ---- + ---------- | \ \/ 125 25 \ \/ 125 25 // \ \/ 125 25 \ \/ 125 25 // \ \/ 125 25 /
$$\left(- \frac{\sqrt[3]{\frac{3636}{125} + \frac{9 \sqrt{6529}}{25}}}{2} + \frac{9}{50 \sqrt[3]{\frac{3636}{125} + \frac{9 \sqrt{6529}}{25}}} + \frac{26}{5} + i \left(\frac{9 \sqrt{3}}{50 \sqrt[3]{\frac{3636}{125} + \frac{9 \sqrt{6529}}{25}}} + \frac{\sqrt{3} \sqrt[3]{\frac{3636}{125} + \frac{9 \sqrt{6529}}{25}}}{2}\right)\right) \left(- \frac{\sqrt[3]{\frac{3636}{125} + \frac{9 \sqrt{6529}}{25}}}{2} + \frac{9}{50 \sqrt[3]{\frac{3636}{125} + \frac{9 \sqrt{6529}}{25}}} + \frac{26}{5} + i \left(- \frac{\sqrt{3} \sqrt[3]{\frac{3636}{125} + \frac{9 \sqrt{6529}}{25}}}{2} - \frac{9 \sqrt{3}}{50 \sqrt[3]{\frac{3636}{125} + \frac{9 \sqrt{6529}}{25}}}\right)\right) \left(- \frac{9}{25 \sqrt[3]{\frac{3636}{125} + \frac{9 \sqrt{6529}}{25}}} + \sqrt[3]{\frac{3636}{125} + \frac{9 \sqrt{6529}}{25}} + \frac{26}{5}\right)$$
=
1022/5
$$\frac{1022}{5}$$
1022/5
Respuesta numérica
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x1 = 3.30905100963551 + 3.43614089531868*i
x2 = 8.98189798072898
x3 = 3.30905100963551 - 3.43614089531868*i
x3 = 3.30905100963551 - 3.43614089531868*i