Sr Examen
Otras calculadoras
-
¿Cómo usar?
- La ecuación:
-
Ecuación 2x^2-x-1=x^2-5x-(-1-x^2)
-
Ecuación x^2+4=5x
-
Ecuación x(x^2+2x+1)=6(x+1)
-
Ecuación 4x+1=-3x+15
- Expresar {x} en función de y en la ecuación:
- -6*x-20*y=8
- 13*x-12*y=19
- -17*x-15*y=-17
- -9*x+11*y=9
-
Expresiones idénticas
- dos *(- seis *x+(tres *x+ dos)*(cuatro *x^ dos /(x^ dos - cuatro)- uno))/(x^ dos - cuatro)^ dos = cero
- 2 multiplicar por ( menos 6 multiplicar por x más (3 multiplicar por x más 2) multiplicar por (4 multiplicar por x al cuadrado dividir por (x al cuadrado menos 4) menos 1)) dividir por (x al cuadrado menos 4) al cuadrado es igual a 0
- dos multiplicar por ( menos seis multiplicar por x más (tres multiplicar por x más dos) multiplicar por (cuatro multiplicar por x en el grado dos dividir por (x en el grado dos menos cuatro) menos uno)) dividir por (x en el grado dos menos cuatro) en el grado dos es igual a cero
- 2*(-6*x+(3*x+2)*(4*x2/(x2-4)-1))/(x2-4)2=0
- 2*-6*x+3*x+2*4*x2/x2-4-1/x2-42=0
- 2*(-6*x+(3*x+2)*(4*x²/(x²-4)-1))/(x²-4)²=0
- 2*(-6*x+(3*x+2)*(4*x en el grado 2/(x en el grado 2-4)-1))/(x en el grado 2-4) en el grado 2=0
- 2(-6x+(3x+2)(4x^2/(x^2-4)-1))/(x^2-4)^2=0
- 2(-6x+(3x+2)(4x2/(x2-4)-1))/(x2-4)2=0
- 2-6x+3x+24x2/x2-4-1/x2-42=0
- 2-6x+3x+24x^2/x^2-4-1/x^2-4^2=0
- 2*(-6*x+(3*x+2)*(4*x^2/(x^2-4)-1))/(x^2-4)^2=O
- 2*(-6*x+(3*x+2)*(4*x^2 dividir por (x^2-4)-1)) dividir por (x^2-4)^2=0
-
Expresiones semejantes
- 2*(-6*x+(3*x+2)*(4*x^2/(x^2-4)-1))/(x^2+4)^2=0
- 2*(-6*x+(3*x+2)*(4*x^2/(x^2-4)+1))/(x^2-4)^2=0
- 2*(-6*x-(3*x+2)*(4*x^2/(x^2-4)-1))/(x^2-4)^2=0
- 2*(-6*x+(3*x-2)*(4*x^2/(x^2-4)-1))/(x^2-4)^2=0
- 2*(-6*x+(3*x+2)*(4*x^2/(x^2+4)-1))/(x^2-4)^2=0
- 2*(6*x+(3*x+2)*(4*x^2/(x^2-4)-1))/(x^2-4)^2=0
2*(-6*x+(3*x+2)*(4*x^2/(x^2-4)-1))/(x^2-4)^2=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
/ / 2 \\
| | 4*x ||
2*|-6*x + (3*x + 2)*|------ - 1||
| | 2 ||
\ \x - 4 //
--------------------------------- = 0
2
/ 2 \
\x - 4/
$$\frac{2 \left(- 6 x + \left(3 x + 2\right) \left(\frac{4 x^{2}}{x^{2} - 4} - 1\right)\right)}{\left(x^{2} - 4\right)^{2}} = 0$$
Suma y producto de raíces
[src]
suma
2/3 3 ___ / 3 ___ ___ 2/3 ___\ 2/3 3 ___ / 3 ___ ___ 2/3 ___\ 3 ___ 2/3 2 2*2 2*\/ 2 |2*\/ 2 *\/ 3 2*2 *\/ 3 | 2 2*2 2*\/ 2 | 2*\/ 2 *\/ 3 2*2 *\/ 3 | 2 4*\/ 2 4*2 - - - ------ + ------- + I*|------------- + ------------| + - - - ------ + ------- + I*|- ------------- - ------------| + - - - ------- + ------ 3 3 3 \ 3 3 / 3 3 3 \ 3 3 / 3 3 3
$$\left(- \frac{4 \sqrt[3]{2}}{3} - \frac{2}{3} + \frac{4 \cdot 2^{\frac{2}{3}}}{3}\right) + \left(\left(- \frac{2 \cdot 2^{\frac{2}{3}}}{3} - \frac{2}{3} + \frac{2 \sqrt[3]{2}}{3} + i \left(- \frac{2 \cdot 2^{\frac{2}{3}} \sqrt{3}}{3} - \frac{2 \sqrt[3]{2} \sqrt{3}}{3}\right)\right) + \left(- \frac{2 \cdot 2^{\frac{2}{3}}}{3} - \frac{2}{3} + \frac{2 \sqrt[3]{2}}{3} + i \left(\frac{2 \sqrt[3]{2} \sqrt{3}}{3} + \frac{2 \cdot 2^{\frac{2}{3}} \sqrt{3}}{3}\right)\right)\right)$$
=
/ 3 ___ ___ 2/3 ___\ / 3 ___ ___ 2/3 ___\
| 2*\/ 2 *\/ 3 2*2 *\/ 3 | |2*\/ 2 *\/ 3 2*2 *\/ 3 |
-2 + I*|- ------------- - ------------| + I*|------------- + ------------|
\ 3 3 / \ 3 3 /
$$-2 + i \left(- \frac{2 \cdot 2^{\frac{2}{3}} \sqrt{3}}{3} - \frac{2 \sqrt[3]{2} \sqrt{3}}{3}\right) + i \left(\frac{2 \sqrt[3]{2} \sqrt{3}}{3} + \frac{2 \cdot 2^{\frac{2}{3}} \sqrt{3}}{3}\right)$$
producto
/ 2/3 3 ___ / 3 ___ ___ 2/3 ___\\ / 2/3 3 ___ / 3 ___ ___ 2/3 ___\\ / 3 ___ 2/3\ | 2 2*2 2*\/ 2 |2*\/ 2 *\/ 3 2*2 *\/ 3 || | 2 2*2 2*\/ 2 | 2*\/ 2 *\/ 3 2*2 *\/ 3 || | 2 4*\/ 2 4*2 | |- - - ------ + ------- + I*|------------- + ------------||*|- - - ------ + ------- + I*|- ------------- - ------------||*|- - - ------- + ------| \ 3 3 3 \ 3 3 // \ 3 3 3 \ 3 3 // \ 3 3 3 /
$$\left(- \frac{2 \cdot 2^{\frac{2}{3}}}{3} - \frac{2}{3} + \frac{2 \sqrt[3]{2}}{3} + i \left(\frac{2 \sqrt[3]{2} \sqrt{3}}{3} + \frac{2 \cdot 2^{\frac{2}{3}} \sqrt{3}}{3}\right)\right) \left(- \frac{2 \cdot 2^{\frac{2}{3}}}{3} - \frac{2}{3} + \frac{2 \sqrt[3]{2}}{3} + i \left(- \frac{2 \cdot 2^{\frac{2}{3}} \sqrt{3}}{3} - \frac{2 \sqrt[3]{2} \sqrt{3}}{3}\right)\right) \left(- \frac{4 \sqrt[3]{2}}{3} - \frac{2}{3} + \frac{4 \cdot 2^{\frac{2}{3}}}{3}\right)$$
=
-8/3
$$- \frac{8}{3}$$
-8/3
Respuesta rápida
[src]
2/3 3 ___ / 3 ___ ___ 2/3 ___\
2 2*2 2*\/ 2 |2*\/ 2 *\/ 3 2*2 *\/ 3 |
x1 = - - - ------ + ------- + I*|------------- + ------------|
3 3 3 \ 3 3 /
$$x_{1} = - \frac{2 \cdot 2^{\frac{2}{3}}}{3} - \frac{2}{3} + \frac{2 \sqrt[3]{2}}{3} + i \left(\frac{2 \sqrt[3]{2} \sqrt{3}}{3} + \frac{2 \cdot 2^{\frac{2}{3}} \sqrt{3}}{3}\right)$$
2/3 3 ___ / 3 ___ ___ 2/3 ___\
2 2*2 2*\/ 2 | 2*\/ 2 *\/ 3 2*2 *\/ 3 |
x2 = - - - ------ + ------- + I*|- ------------- - ------------|
3 3 3 \ 3 3 /
$$x_{2} = - \frac{2 \cdot 2^{\frac{2}{3}}}{3} - \frac{2}{3} + \frac{2 \sqrt[3]{2}}{3} + i \left(- \frac{2 \cdot 2^{\frac{2}{3}} \sqrt{3}}{3} - \frac{2 \sqrt[3]{2} \sqrt{3}}{3}\right)$$
3 ___ 2/3
2 4*\/ 2 4*2
x3 = - - - ------- + ------
3 3 3
$$x_{3} = - \frac{4 \sqrt[3]{2}}{3} - \frac{2}{3} + \frac{4 \cdot 2^{\frac{2}{3}}}{3}$$
x3 = -4*2^(1/3)/3 - 2/3 + 4*2^(2/3)/3
Respuesta numérica
[src]
x1 = -33227.7112137909
x2 = 19207.4130378919
x3 = 28553.3420277109
x4 = 21758.0865711752
x5 = -29832.0065988756
x6 = 26855.1792223326
x7 = -37470.9640910811
x8 = 31100.0062043968
x9 = 39585.4226072277
x10 = 42130.3328824936
x11 = 41282.0573460158
x12 = 38737.0598591533
x13 = -27284.3381360372
x14 = -31530.0050485119
x15 = 32797.4628662312
x16 = -18782.2016035856
x17 = 34494.7063102791
x18 = 20908.0614842317
x19 = 24307.2017458067
x20 = 35343.2573229876
x21 = 26005.9602484396
x22 = -28133.6614846115
x23 = -21335.1011376081
x24 = -32378.8917234445
x25 = -0.230026663902232
x26 = -19633.4698033717
x27 = 37888.664239201
x28 = 36191.7654599092
x29 = 40433.7544878851
x30 = -39167.9408424607
x31 = 29402.3010269231
x32 = 17505.7887788788
x33 = -25585.3383486092
x34 = -34076.4686570396
x35 = -35773.8154633669
x36 = 25156.6378364059
x37 = -36622.4127889576
x38 = 20057.8448310966
x39 = 18356.7385168336
x40 = -17078.526879938
x41 = 23457.6403424823
x42 = -20484.4234119279
x43 = 37040.2335657269
x44 = 22607.9403538793
x45 = -24735.6369466401
x46 = -34925.1686805729
x47 = 27704.3038069616
x48 = 30251.1871818803
x49 = -40016.37174009
x50 = -28982.8812837039
x51 = -41713.1305061313
x52 = -22185.535608793
x53 = -23035.7545189991
x54 = -38319.4724931418
x55 = -42561.462563931
x56 = -17930.5725464703
x57 = -40864.7675668495
x58 = -23885.78152329
x59 = 33646.1093014271
x60 = -30681.0454692408
x61 = 31948.7632252738
x62 = -26434.9009771423
x62 = -26434.9009771423