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- La ecuación:
- Ecuación x+y-3=0
-
Ecuación x^2=-3
-
Ecuación 3^x=-1
-
Ecuación 1-8*x/15=4*x/9
- Expresar {x} en función de y en la ecuación:
- 4*x+8*y=7
- -12*x+20*y=-3
- -5*x-13*y=-4
- -13*x-7*y=16
- Integral de d{x}:
- 1/7
- Límite de la función:
- 1/7
-
Expresiones idénticas
- cuatro /(x+ dos)- tres /(x- uno)- doce /(cuatro -x^ dos)= uno / siete
- 4 dividir por (x más 2) menos 3 dividir por (x menos 1) menos 12 dividir por (4 menos x al cuadrado ) es igual a 1 dividir por 7
- cuatro dividir por (x más dos) menos tres dividir por (x menos uno) menos doce dividir por (cuatro menos x en el grado dos) es igual a uno dividir por siete
- 4/(x+2)-3/(x-1)-12/(4-x2)=1/7
- 4/x+2-3/x-1-12/4-x2=1/7
- 4/(x+2)-3/(x-1)-12/(4-x²)=1/7
- 4/(x+2)-3/(x-1)-12/(4-x en el grado 2)=1/7
- 4/x+2-3/x-1-12/4-x^2=1/7
- 4 dividir por (x+2)-3 dividir por (x-1)-12 dividir por (4-x^2)=1 dividir por 7
-
Expresiones semejantes
- 4/(x+2)-3/(x+1)-12/(4-x^2)=1/7
- 4/(x-2)-3/(x-1)-12/(4-x^2)=1/7
- 7733,6=(3*220^2*(0.17+x)/1)/(78,5((0.18+(0.17+x)/1)^2+0.1936))
- (1/49)^(x-3)=(1/(7^x))^(1/2)
- 4/(x+2)-3/(x-1)-12/(4+x^2)=1/7
- 4/(x+2)-3/(x-1)+12/(4-x^2)=1/7
- 4/(x+2)+3/(x-1)-12/(4-x^2)=1/7
4/(x+2)-3/(x-1)-12/(4-x^2)=1/7 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
4 3 12
----- - ----- - ------ = 1/7
x + 2 x - 1 2
4 - x
$$\left(\frac{4}{x + 2} - \frac{3}{x - 1}\right) - \frac{12}{4 - x^{2}} = \frac{1}{7}$$
Suma y producto de raíces
[src]
suma
___________________ / ___________________ \ ___________________ / ___________________ \
/ ______ | / ______ | / ______ | / ______ |
/ 1358 2*\/ 4337 | ___ / 1358 2*\/ 4337 | / 1358 2*\/ 4337 | ___ / 1358 2*\/ 4337 | ___________________
3 / ---- + ---------- | \/ 3 *3 / ---- + ---------- ___ | 3 / ---- + ---------- |\/ 3 *3 / ---- + ---------- ___ | / ______
8 38 \/ 27 3 | \/ 27 3 38*\/ 3 | 8 38 \/ 27 3 | \/ 27 3 38*\/ 3 | 8 / 1358 2*\/ 4337 76
- - -------------------------- - ------------------------ + I*|- ------------------------------ + --------------------------| + - - -------------------------- - ------------------------ + I*|------------------------------ - --------------------------| + - + 3 / ---- + ---------- + --------------------------
3 ___________________ 2 | 2 ___________________| 3 ___________________ 2 | 2 ___________________| 3 \/ 27 3 ___________________
/ ______ | / ______ | / ______ | / ______ | / ______
/ 1358 2*\/ 4337 | / 1358 2*\/ 4337 | / 1358 2*\/ 4337 | / 1358 2*\/ 4337 | / 1358 2*\/ 4337
9*3 / ---- + ---------- | 9*3 / ---- + ---------- | 9*3 / ---- + ---------- | 9*3 / ---- + ---------- | 9*3 / ---- + ----------
\/ 27 3 \ \/ 27 3 / \/ 27 3 \ \/ 27 3 / \/ 27 3
$$\left(\frac{76}{9 \sqrt[3]{\frac{2 \sqrt{4337}}{3} + \frac{1358}{27}}} + \frac{8}{3} + \sqrt[3]{\frac{2 \sqrt{4337}}{3} + \frac{1358}{27}}\right) + \left(\left(- \frac{\sqrt[3]{\frac{2 \sqrt{4337}}{3} + \frac{1358}{27}}}{2} - \frac{38}{9 \sqrt[3]{\frac{2 \sqrt{4337}}{3} + \frac{1358}{27}}} + \frac{8}{3} + i \left(- \frac{\sqrt{3} \sqrt[3]{\frac{2 \sqrt{4337}}{3} + \frac{1358}{27}}}{2} + \frac{38 \sqrt{3}}{9 \sqrt[3]{\frac{2 \sqrt{4337}}{3} + \frac{1358}{27}}}\right)\right) + \left(- \frac{\sqrt[3]{\frac{2 \sqrt{4337}}{3} + \frac{1358}{27}}}{2} - \frac{38}{9 \sqrt[3]{\frac{2 \sqrt{4337}}{3} + \frac{1358}{27}}} + \frac{8}{3} + i \left(- \frac{38 \sqrt{3}}{9 \sqrt[3]{\frac{2 \sqrt{4337}}{3} + \frac{1358}{27}}} + \frac{\sqrt{3} \sqrt[3]{\frac{2 \sqrt{4337}}{3} + \frac{1358}{27}}}{2}\right)\right)\right)$$
=
/ ___________________ \ / ___________________ \
| / ______ | | / ______ |
| ___ / 1358 2*\/ 4337 | | ___ / 1358 2*\/ 4337 |
|\/ 3 *3 / ---- + ---------- ___ | | \/ 3 *3 / ---- + ---------- ___ |
| \/ 27 3 38*\/ 3 | | \/ 27 3 38*\/ 3 |
8 + I*|------------------------------ - --------------------------| + I*|- ------------------------------ + --------------------------|
| 2 ___________________| | 2 ___________________|
| / ______ | | / ______ |
| / 1358 2*\/ 4337 | | / 1358 2*\/ 4337 |
| 9*3 / ---- + ---------- | | 9*3 / ---- + ---------- |
\ \/ 27 3 / \ \/ 27 3 /
$$8 + i \left(- \frac{\sqrt{3} \sqrt[3]{\frac{2 \sqrt{4337}}{3} + \frac{1358}{27}}}{2} + \frac{38 \sqrt{3}}{9 \sqrt[3]{\frac{2 \sqrt{4337}}{3} + \frac{1358}{27}}}\right) + i \left(- \frac{38 \sqrt{3}}{9 \sqrt[3]{\frac{2 \sqrt{4337}}{3} + \frac{1358}{27}}} + \frac{\sqrt{3} \sqrt[3]{\frac{2 \sqrt{4337}}{3} + \frac{1358}{27}}}{2}\right)$$
producto
/ ___________________ / ___________________ \\ / ___________________ / ___________________ \\ | / ______ | / ______ || | / ______ | / ______ || | / 1358 2*\/ 4337 | ___ / 1358 2*\/ 4337 || | / 1358 2*\/ 4337 | ___ / 1358 2*\/ 4337 || / ___________________ \ | 3 / ---- + ---------- | \/ 3 *3 / ---- + ---------- ___ || | 3 / ---- + ---------- |\/ 3 *3 / ---- + ---------- ___ || | / ______ | |8 38 \/ 27 3 | \/ 27 3 38*\/ 3 || |8 38 \/ 27 3 | \/ 27 3 38*\/ 3 || |8 / 1358 2*\/ 4337 76 | |- - -------------------------- - ------------------------ + I*|- ------------------------------ + --------------------------||*|- - -------------------------- - ------------------------ + I*|------------------------------ - --------------------------||*|- + 3 / ---- + ---------- + --------------------------| |3 ___________________ 2 | 2 ___________________|| |3 ___________________ 2 | 2 ___________________|| |3 \/ 27 3 ___________________| | / ______ | / ______ || | / ______ | / ______ || | / ______ | | / 1358 2*\/ 4337 | / 1358 2*\/ 4337 || | / 1358 2*\/ 4337 | / 1358 2*\/ 4337 || | / 1358 2*\/ 4337 | | 9*3 / ---- + ---------- | 9*3 / ---- + ---------- || | 9*3 / ---- + ---------- | 9*3 / ---- + ---------- || | 9*3 / ---- + ---------- | \ \/ 27 3 \ \/ 27 3 // \ \/ 27 3 \ \/ 27 3 // \ \/ 27 3 /
$$\left(- \frac{\sqrt[3]{\frac{2 \sqrt{4337}}{3} + \frac{1358}{27}}}{2} - \frac{38}{9 \sqrt[3]{\frac{2 \sqrt{4337}}{3} + \frac{1358}{27}}} + \frac{8}{3} + i \left(- \frac{38 \sqrt{3}}{9 \sqrt[3]{\frac{2 \sqrt{4337}}{3} + \frac{1358}{27}}} + \frac{\sqrt{3} \sqrt[3]{\frac{2 \sqrt{4337}}{3} + \frac{1358}{27}}}{2}\right)\right) \left(- \frac{\sqrt[3]{\frac{2 \sqrt{4337}}{3} + \frac{1358}{27}}}{2} - \frac{38}{9 \sqrt[3]{\frac{2 \sqrt{4337}}{3} + \frac{1358}{27}}} + \frac{8}{3} + i \left(- \frac{\sqrt{3} \sqrt[3]{\frac{2 \sqrt{4337}}{3} + \frac{1358}{27}}}{2} + \frac{38 \sqrt{3}}{9 \sqrt[3]{\frac{2 \sqrt{4337}}{3} + \frac{1358}{27}}}\right)\right) \left(\frac{76}{9 \sqrt[3]{\frac{2 \sqrt{4337}}{3} + \frac{1358}{27}}} + \frac{8}{3} + \sqrt[3]{\frac{2 \sqrt{4337}}{3} + \frac{1358}{27}}\right)$$
=
52
$$52$$
52
Respuesta rápida
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___________________ / ___________________ \
/ ______ | / ______ |
/ 1358 2*\/ 4337 | ___ / 1358 2*\/ 4337 |
3 / ---- + ---------- | \/ 3 *3 / ---- + ---------- ___ |
8 38 \/ 27 3 | \/ 27 3 38*\/ 3 |
x1 = - - -------------------------- - ------------------------ + I*|- ------------------------------ + --------------------------|
3 ___________________ 2 | 2 ___________________|
/ ______ | / ______ |
/ 1358 2*\/ 4337 | / 1358 2*\/ 4337 |
9*3 / ---- + ---------- | 9*3 / ---- + ---------- |
\/ 27 3 \ \/ 27 3 /
$$x_{1} = - \frac{\sqrt[3]{\frac{2 \sqrt{4337}}{3} + \frac{1358}{27}}}{2} - \frac{38}{9 \sqrt[3]{\frac{2 \sqrt{4337}}{3} + \frac{1358}{27}}} + \frac{8}{3} + i \left(- \frac{\sqrt{3} \sqrt[3]{\frac{2 \sqrt{4337}}{3} + \frac{1358}{27}}}{2} + \frac{38 \sqrt{3}}{9 \sqrt[3]{\frac{2 \sqrt{4337}}{3} + \frac{1358}{27}}}\right)$$
___________________ / ___________________ \
/ ______ | / ______ |
/ 1358 2*\/ 4337 | ___ / 1358 2*\/ 4337 |
3 / ---- + ---------- |\/ 3 *3 / ---- + ---------- ___ |
8 38 \/ 27 3 | \/ 27 3 38*\/ 3 |
x2 = - - -------------------------- - ------------------------ + I*|------------------------------ - --------------------------|
3 ___________________ 2 | 2 ___________________|
/ ______ | / ______ |
/ 1358 2*\/ 4337 | / 1358 2*\/ 4337 |
9*3 / ---- + ---------- | 9*3 / ---- + ---------- |
\/ 27 3 \ \/ 27 3 /
$$x_{2} = - \frac{\sqrt[3]{\frac{2 \sqrt{4337}}{3} + \frac{1358}{27}}}{2} - \frac{38}{9 \sqrt[3]{\frac{2 \sqrt{4337}}{3} + \frac{1358}{27}}} + \frac{8}{3} + i \left(- \frac{38 \sqrt{3}}{9 \sqrt[3]{\frac{2 \sqrt{4337}}{3} + \frac{1358}{27}}} + \frac{\sqrt{3} \sqrt[3]{\frac{2 \sqrt{4337}}{3} + \frac{1358}{27}}}{2}\right)$$
___________________
/ ______
8 / 1358 2*\/ 4337 76
x3 = - + 3 / ---- + ---------- + --------------------------
3 \/ 27 3 ___________________
/ ______
/ 1358 2*\/ 4337
9*3 / ---- + ----------
\/ 27 3
$$x_{3} = \frac{76}{9 \sqrt[3]{\frac{2 \sqrt{4337}}{3} + \frac{1358}{27}}} + \frac{8}{3} + \sqrt[3]{\frac{2 \sqrt{4337}}{3} + \frac{1358}{27}}$$
x3 = 76/(9*(2*sqrt(4337)/3 + 1358/27)^(1/3)) + 8/3 + (2*sqrt(4337)/3 + 1358/27)^(1/3)
Respuesta numérica
[src]
x1 = -0.536312645872345 - 2.33321582720615*i
x2 = -0.536312645872345 + 2.33321582720615*i
x3 = 9.07262529174469
x3 = 9.07262529174469