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Expresiones idénticas
- (dos - dos *(cuatro *x+ uno)/(x+ uno)+(x^ dos -x+ uno)*((cuatro *x+ uno)*(dos /(dos *x- uno)+ uno /(x+ uno))- cuatro + dos *(cuatro *x+ uno)/(dos *x- uno)+(cuatro *x+ uno)/(x+ uno))/((x+ uno)*(dos *x- uno)))/((x+ uno)*(dos *x- uno))= cero
- (2 menos 2 multiplicar por (4 multiplicar por x más 1) dividir por (x más 1) más (x al cuadrado menos x más 1) multiplicar por ((4 multiplicar por x más 1) multiplicar por (2 dividir por (2 multiplicar por x menos 1) más 1 dividir por (x más 1)) menos 4 más 2 multiplicar por (4 multiplicar por x más 1) dividir por (2 multiplicar por x menos 1) más (4 multiplicar por x más 1) dividir por (x más 1)) dividir por ((x más 1) multiplicar por (2 multiplicar por x menos 1))) dividir por ((x más 1) multiplicar por (2 multiplicar por x menos 1)) es igual a 0
- (dos menos dos multiplicar por (cuatro multiplicar por x más uno) dividir por (x más uno) más (x en el grado dos menos x más uno) multiplicar por ((cuatro multiplicar por x más uno) multiplicar por (dos dividir por (dos multiplicar por x menos uno) más uno dividir por (x más uno)) menos cuatro más dos multiplicar por (cuatro multiplicar por x más uno) dividir por (dos multiplicar por x menos uno) más (cuatro multiplicar por x más uno) dividir por (x más uno)) dividir por ((x más uno) multiplicar por (dos multiplicar por x menos uno))) dividir por ((x más uno) multiplicar por (dos multiplicar por x menos uno)) es igual a cero
- (2-2*(4*x+1)/(x+1)+(x2-x+1)*((4*x+1)*(2/(2*x-1)+1/(x+1))-4+2*(4*x+1)/(2*x-1)+(4*x+1)/(x+1))/((x+1)*(2*x-1)))/((x+1)*(2*x-1))=0
- 2-2*4*x+1/x+1+x2-x+1*4*x+1*2/2*x-1+1/x+1-4+2*4*x+1/2*x-1+4*x+1/x+1/x+1*2*x-1/x+1*2*x-1=0
- (2-2*(4*x+1)/(x+1)+(x²-x+1)*((4*x+1)*(2/(2*x-1)+1/(x+1))-4+2*(4*x+1)/(2*x-1)+(4*x+1)/(x+1))/((x+1)*(2*x-1)))/((x+1)*(2*x-1))=0
- (2-2*(4*x+1)/(x+1)+(x en el grado 2-x+1)*((4*x+1)*(2/(2*x-1)+1/(x+1))-4+2*(4*x+1)/(2*x-1)+(4*x+1)/(x+1))/((x+1)*(2*x-1)))/((x+1)*(2*x-1))=0
- (2-2(4x+1)/(x+1)+(x^2-x+1)((4x+1)(2/(2x-1)+1/(x+1))-4+2(4x+1)/(2x-1)+(4x+1)/(x+1))/((x+1)(2x-1)))/((x+1)(2x-1))=0
- (2-2(4x+1)/(x+1)+(x2-x+1)((4x+1)(2/(2x-1)+1/(x+1))-4+2(4x+1)/(2x-1)+(4x+1)/(x+1))/((x+1)(2x-1)))/((x+1)(2x-1))=0
- 2-24x+1/x+1+x2-x+14x+12/2x-1+1/x+1-4+24x+1/2x-1+4x+1/x+1/x+12x-1/x+12x-1=0
- 2-24x+1/x+1+x^2-x+14x+12/2x-1+1/x+1-4+24x+1/2x-1+4x+1/x+1/x+12x-1/x+12x-1=0
- (2-2*(4*x+1)/(x+1)+(x^2-x+1)*((4*x+1)*(2/(2*x-1)+1/(x+1))-4+2*(4*x+1)/(2*x-1)+(4*x+1)/(x+1))/((x+1)*(2*x-1)))/((x+1)*(2*x-1))=O
- (2-2*(4*x+1) dividir por (x+1)+(x^2-x+1)*((4*x+1)*(2 dividir por (2*x-1)+1 dividir por (x+1))-4+2*(4*x+1) dividir por (2*x-1)+(4*x+1) dividir por (x+1)) dividir por ((x+1)*(2*x-1))) dividir por ((x+1)*(2*x-1))=0
-
Expresiones semejantes
- (2-2*(4*x+1)/(x+1)+(x^2-x+1)*((4*x+1)*(2/(2*x-1)+1/(x+1))-4+2*(4*x+1)/(2*x-1)+(4*x+1)/(x+1))/((x+1)*(2*x-1)))/((x+1)*(2*x+1))=0
- (2-2*(4*x-1)/(x+1)+(x^2-x+1)*((4*x+1)*(2/(2*x-1)+1/(x+1))-4+2*(4*x+1)/(2*x-1)+(4*x+1)/(x+1))/((x+1)*(2*x-1)))/((x+1)*(2*x-1))=0
- (2-2*(4*x+1)/(x+1)+(x^2-x+1)*((4*x+1)*(2/(2*x-1)+1/(x+1))+4+2*(4*x+1)/(2*x-1)+(4*x+1)/(x+1))/((x+1)*(2*x-1)))/((x+1)*(2*x-1))=0
- (2+2*(4*x+1)/(x+1)+(x^2-x+1)*((4*x+1)*(2/(2*x-1)+1/(x+1))-4+2*(4*x+1)/(2*x-1)+(4*x+1)/(x+1))/((x+1)*(2*x-1)))/((x+1)*(2*x-1))=0
- (2-2*(4*x+1)/(x+1)+(x^2-x+1)*((4*x+1)*(2/(2*x-1)-1/(x+1))-4+2*(4*x+1)/(2*x-1)+(4*x+1)/(x+1))/((x+1)*(2*x-1)))/((x+1)*(2*x-1))=0
- (2-2*(4*x+1)/(x+1)+(x^2-x+1)*((4*x+1)*(2/(2*x-1)+1/(x+1))-4+2*(4*x+1)/(2*x-1)+(4*x+1)/(x+1))/((x+1)*(2*x+1)))/((x+1)*(2*x-1))=0
- (2-2*(4*x+1)/(x+1)-(x^2-x+1)*((4*x+1)*(2/(2*x-1)+1/(x+1))-4+2*(4*x+1)/(2*x-1)+(4*x+1)/(x+1))/((x+1)*(2*x-1)))/((x+1)*(2*x-1))=0
- (2-2*(4*x+1)/(x+1)+(x^2-x+1)*((4*x+1)*(2/(2*x-1)+1/(x+1))-4+2*(4*x+1)/(2*x-1)+(4*x-1)/(x+1))/((x+1)*(2*x-1)))/((x+1)*(2*x-1))=0
- (2-2*(4*x+1)/(x+1)+(x^2-x+1)*((4*x-1)*(2/(2*x-1)+1/(x+1))-4+2*(4*x+1)/(2*x-1)+(4*x+1)/(x+1))/((x+1)*(2*x-1)))/((x+1)*(2*x-1))=0
- (2-2*(4*x+1)/(x+1)+(x^2-x+1)*((4*x+1)*(2/(2*x-1)+1/(x-1))-4+2*(4*x+1)/(2*x-1)+(4*x+1)/(x+1))/((x+1)*(2*x-1)))/((x+1)*(2*x-1))=0
- (2-2*(4*x+1)/(x+1)+(x^2-x+1)*((4*x+1)*(2/(2*x-1)+1/(x+1))-4+2*(4*x-1)/(2*x-1)+(4*x+1)/(x+1))/((x+1)*(2*x-1)))/((x+1)*(2*x-1))=0
- (2-2*(4*x+1)/(x+1)+(x^2-x+1)*((4*x+1)*(2/(2*x-1)+1/(x+1))-4+2*(4*x+1)/(2*x-1)+(4*x+1)/(x-1))/((x+1)*(2*x-1)))/((x+1)*(2*x-1))=0
- (2-2*(4*x+1)/(x+1)+(x^2-x+1)*((4*x+1)*(2/(2*x-1)+1/(x+1))-4+2*(4*x+1)/(2*x-1)-(4*x+1)/(x+1))/((x+1)*(2*x-1)))/((x+1)*(2*x-1))=0
- (2-2*(4*x+1)/(x+1)+(x^2-x+1)*((4*x+1)*(2/(2*x-1)+1/(x+1))-4+2*(4*x+1)/(2*x-1)+(4*x+1)/(x+1))/((x+1)*(2*x-1)))/((x-1)*(2*x-1))=0
- (2-2*(4*x+1)/(x+1)+(x^2-x+1)*((4*x+1)*(2/(2*x-1)+1/(x+1))-4+2*(4*x+1)/(2*x-1)+(4*x+1)/(x+1))/((x-1)*(2*x-1)))/((x+1)*(2*x-1))=0
- (2-2*(4*x+1)/(x+1)+(x^2+x+1)*((4*x+1)*(2/(2*x-1)+1/(x+1))-4+2*(4*x+1)/(2*x-1)+(4*x+1)/(x+1))/((x+1)*(2*x-1)))/((x+1)*(2*x-1))=0
- (2-2*(4*x+1)/(x+1)+(x^2-x+1)*((4*x+1)*(2/(2*x+1)+1/(x+1))-4+2*(4*x+1)/(2*x-1)+(4*x+1)/(x+1))/((x+1)*(2*x-1)))/((x+1)*(2*x-1))=0
- (2-2*(4*x+1)/(x+1)+(x^2-x-1)*((4*x+1)*(2/(2*x-1)+1/(x+1))-4+2*(4*x+1)/(2*x-1)+(4*x+1)/(x+1))/((x+1)*(2*x-1)))/((x+1)*(2*x-1))=0
- (2-2*(4*x+1)/(x+1)+(x^2-x+1)*((4*x+1)*(2/(2*x-1)+1/(x+1))-4-2*(4*x+1)/(2*x-1)+(4*x+1)/(x+1))/((x+1)*(2*x-1)))/((x+1)*(2*x-1))=0
- (2-2*(4*x+1)/(x+1)+(x^2-x+1)*((4*x+1)*(2/(2*x-1)+1/(x+1))-4+2*(4*x+1)/(2*x+1)+(4*x+1)/(x+1))/((x+1)*(2*x-1)))/((x+1)*(2*x-1))=0
- (2-2*(4*x+1)/(x-1)+(x^2-x+1)*((4*x+1)*(2/(2*x-1)+1/(x+1))-4+2*(4*x+1)/(2*x-1)+(4*x+1)/(x+1))/((x+1)*(2*x-1)))/((x+1)*(2*x-1))=0
(2-2*(4*x+1)/(x+1)+(x^2-x+1)*((4*x+1)*(2/(2*x-1)+1/(x+1))-4+2*(4*x+1)/(2*x-1)+(4*x+1)/(x+1))/((x+1)*(2*x-1)))/((x+1)*(2*x-1))=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
/ 2 \ / / 2 1 \ 2*(4*x + 1) 4*x + 1\
\x - x + 1/*|(4*x + 1)*|------- + -----| - 4 + ----------- + -------|
2*(4*x + 1) \ \2*x - 1 x + 1/ 2*x - 1 x + 1 /
2 - ----------- + ----------------------------------------------------------------------
x + 1 (x + 1)*(2*x - 1)
---------------------------------------------------------------------------------------- = 0
(x + 1)*(2*x - 1)
$$\frac{\left(2 - \frac{2 \left(4 x + 1\right)}{x + 1}\right) + \frac{\left(\left(x^{2} - x\right) + 1\right) \left(\left(\left(\left(4 x + 1\right) \left(\frac{2}{2 x - 1} + \frac{1}{x + 1}\right) - 4\right) + \frac{2 \left(4 x + 1\right)}{2 x - 1}\right) + \frac{4 x + 1}{x + 1}\right)}{\left(x + 1\right) \left(2 x - 1\right)}}{\left(x + 1\right) \left(2 x - 1\right)} = 0$$
Respuesta rápida
[src]
3 ___ 2/3 / 3 ___ ___ 2/3 ___\
\/ 2 2 | \/ 2 *\/ 3 2 *\/ 3 |
x1 = 1 - ----- - ---- + I*|- ----------- + ----------|
2 4 \ 2 4 /
$$x_{1} = - \frac{\sqrt[3]{2}}{2} - \frac{2^{\frac{2}{3}}}{4} + 1 + i \left(- \frac{\sqrt[3]{2} \sqrt{3}}{2} + \frac{2^{\frac{2}{3}} \sqrt{3}}{4}\right)$$
3 ___ 2/3 /3 ___ ___ 2/3 ___\
\/ 2 2 |\/ 2 *\/ 3 2 *\/ 3 |
x2 = 1 - ----- - ---- + I*|----------- - ----------|
2 4 \ 2 4 /
$$x_{2} = - \frac{\sqrt[3]{2}}{2} - \frac{2^{\frac{2}{3}}}{4} + 1 + i \left(- \frac{2^{\frac{2}{3}} \sqrt{3}}{4} + \frac{\sqrt[3]{2} \sqrt{3}}{2}\right)$$
2/3
3 ___ 2
x3 = 1 + \/ 2 + ----
2
$$x_{3} = \frac{2^{\frac{2}{3}}}{2} + 1 + \sqrt[3]{2}$$
x3 = 2^(2/3)/2 + 1 + 2^(1/3)
Suma y producto de raíces
[src]
suma
3 ___ 2/3 / 3 ___ ___ 2/3 ___\ 3 ___ 2/3 /3 ___ ___ 2/3 ___\ 2/3
\/ 2 2 | \/ 2 *\/ 3 2 *\/ 3 | \/ 2 2 |\/ 2 *\/ 3 2 *\/ 3 | 3 ___ 2
1 - ----- - ---- + I*|- ----------- + ----------| + 1 - ----- - ---- + I*|----------- - ----------| + 1 + \/ 2 + ----
2 4 \ 2 4 / 2 4 \ 2 4 / 2
$$\left(\frac{2^{\frac{2}{3}}}{2} + 1 + \sqrt[3]{2}\right) + \left(\left(- \frac{\sqrt[3]{2}}{2} - \frac{2^{\frac{2}{3}}}{4} + 1 + i \left(- \frac{\sqrt[3]{2} \sqrt{3}}{2} + \frac{2^{\frac{2}{3}} \sqrt{3}}{4}\right)\right) + \left(- \frac{\sqrt[3]{2}}{2} - \frac{2^{\frac{2}{3}}}{4} + 1 + i \left(- \frac{2^{\frac{2}{3}} \sqrt{3}}{4} + \frac{\sqrt[3]{2} \sqrt{3}}{2}\right)\right)\right)$$
=
/3 ___ ___ 2/3 ___\ / 3 ___ ___ 2/3 ___\
|\/ 2 *\/ 3 2 *\/ 3 | | \/ 2 *\/ 3 2 *\/ 3 |
3 + I*|----------- - ----------| + I*|- ----------- + ----------|
\ 2 4 / \ 2 4 /
$$3 + i \left(- \frac{\sqrt[3]{2} \sqrt{3}}{2} + \frac{2^{\frac{2}{3}} \sqrt{3}}{4}\right) + i \left(- \frac{2^{\frac{2}{3}} \sqrt{3}}{4} + \frac{\sqrt[3]{2} \sqrt{3}}{2}\right)$$
producto
/ 3 ___ 2/3 / 3 ___ ___ 2/3 ___\\ / 3 ___ 2/3 /3 ___ ___ 2/3 ___\\ / 2/3\ | \/ 2 2 | \/ 2 *\/ 3 2 *\/ 3 || | \/ 2 2 |\/ 2 *\/ 3 2 *\/ 3 || | 3 ___ 2 | |1 - ----- - ---- + I*|- ----------- + ----------||*|1 - ----- - ---- + I*|----------- - ----------||*|1 + \/ 2 + ----| \ 2 4 \ 2 4 // \ 2 4 \ 2 4 // \ 2 /
$$\left(- \frac{\sqrt[3]{2}}{2} - \frac{2^{\frac{2}{3}}}{4} + 1 + i \left(- \frac{\sqrt[3]{2} \sqrt{3}}{2} + \frac{2^{\frac{2}{3}} \sqrt{3}}{4}\right)\right) \left(- \frac{\sqrt[3]{2}}{2} - \frac{2^{\frac{2}{3}}}{4} + 1 + i \left(- \frac{2^{\frac{2}{3}} \sqrt{3}}{4} + \frac{\sqrt[3]{2} \sqrt{3}}{2}\right)\right) \left(\frac{2^{\frac{2}{3}}}{2} + 1 + \sqrt[3]{2}\right)$$
=
1/2
$$\frac{1}{2}$$
1/2
Respuesta numérica
[src]
x1 = -14581.927284546
x2 = -21355.5312124423
x3 = -17968.1144702275
x4 = 24451.071303585
x5 = -27285.183572009
x6 = 42242.6516619437
x7 = -38300.1912329797
x8 = -15428.3194919004
x9 = 25298.0083787888
x10 = 37158.5051857092
x11 = 29533.3100101092
x12 = 34616.6049036805
x13 = -25590.8400348274
x14 = -16274.824335423
x15 = -31521.4254256334
x16 = -39147.5849108779
x17 = -37452.8066076174
x18 = 15986.1545368655
x19 = 32922.0880899698
x20 = 26144.9923085109
x21 = -23049.5444819355
x22 = -30674.1401004602
x23 = 12605.182227981
x24 = -34910.7132870974
x25 = 30380.4678158
x26 = -11197.9201535329
x27 = 18524.4299600213
x28 = 17678.1744285452
x29 = 11760.9682684027
x30 = -18814.8768885535
x31 = 3.05362157587897
x32 = 31227.6515174983
x33 = 22757.3606880764
x34 = -19661.7052793052
x35 = 13449.8995355533
x36 = 38005.8339188477
x37 = -39994.9870928874
x38 = 33769.3372695523
x39 = 28686.1805684686
x40 = 41395.267399879
x41 = 10917.4019598231
x42 = -35758.0669545729
x43 = 39700.52854884
x44 = -176963.867976942
x45 = -20508.5921799316
x46 = -13735.6659556478
x47 = -28979.6218460771
x48 = 16832.0732503982
x49 = -32368.7264919947
x50 = -12889.5579107972
x51 = -33216.0421621638
x52 = 19370.8172268498
x53 = -26437.9989014517
x54 = 20217.3178248481
x55 = -12043.630978086
x56 = 23604.1866003007
x57 = 36311.1900646199
x58 = -24743.7094280879
x59 = -36605.4316314079
x60 = -28132.3918671125
x61 = 40547.892811358
x62 = -23896.6098590552
x63 = -29826.8717751108
x64 = -41689.8149884419
x65 = 43090.0449989284
x66 = 15140.453668584
x67 = 27839.0822828511
x68 = 14295.0158085501
x69 = 32074.8589254351
x70 = 21910.6010798782
x71 = -34063.3714057576
x72 = -17121.4268121837
x73 = -40842.3972740065
x74 = 26992.0183241103
x75 = 21063.9166258774
x76 = 38853.1753248106
x77 = 35463.8895899698
x78 = -22202.5168932988
x78 = -22202.5168932988