(х^2+2х+1)^2 -(x^2-4x-5)^5-12(x-5)^4=0

+ 0 -

Dariyasha

25 янв. 2015 г., 21:57:31 (9 лет назад)

 (х^2+2х+1)^2 -(x^2-4x-5)^5-12(x-5)^4=0

((x+1)^2)^2-(x^2-4x-5)(x^2-4x-5)(x^2-4x-5)(x^2-4x-5)(x^2-4x-5)-12(x^2-10x-25)^2=0

 (х^2+2х+1)(х^2+2х+1)- (x^2-4x-5)(x^2-4x-5)(x^2-4x-5)(x^2-4x-5)(x^2-4x-5)-12*

*(x^2-10x-25) (x^2-10x-25) =0 

теперь лучьше решать по частям

1)  (х^2+2х+1)(х^2+2х+1)=x^4+2x^3+x^2+2x^3+4x^2+2x+x^2+2x+1=x^4+ 4x^3+6x^2+4x+1

2)  (x^2-4x-5)(x^2-4x-5)=x^4-4x^3-5x^2-4x^3+16x^2+20x-5x^2+20x+25=x^4-8x^3+6x^2+40x+25

3)  (x^2-4x-5)(x^2-4x-5)=x^4-4x^3-5x^2-4x^3+16x^2+20x-5x^2+20x+25=x^4-8x^3+6x^2+40x+25

4)  (x^4-8x^3+6x^2+40x+25)^2= ( x^4-8x^3+6x^2+40x+25)(  x^4-8x^3+6x^2+40x+25)= x^8-8x^7+6x^6+40x^5+25x^4-8x^7-64x^6-48x^5-320x^4- 200x^3+6x^6-48^5+36x^4+240x^3+150x^2+40x^5-320x^4+240x^3+1600x^2+1000x+25x^4-200x^3+150x^2+1000x+625=x^8-16x^7-52x^6-16x^5-554x^4+80x^3+1900x^2+2000x+625

5)   (x^2-4x-5) *(x^8-16x^7-52x^6-16x^5-554x^4+80x^3+1900x^2+2000x+625 )=

=x^10-16x^9-52x^8-16x^7-554x^6+80x^5+1900x^4+2000x^3+625x^2-4x^9+ +64x^8+208x^7+64x^6+2216x^5-320x^4-7600x^3-8000x^2-2500x-5x^8+

+80x^7+2770x^4+80x^5+260x^6-10000x-400x^3-9500x^2-3125=

=x^10 -20x^9-7x^8+272x^7-230x^6+2376x^5+4350x^4-6000x^3-16875x^2-

-12500x-3125

6)  (x^2-10x-25) (x^2-10x-25)=x^4-10x^3-25x^2-10x^3+100x^2+250x-25x^2+

+250x+625 =x^4-20x^3+50x^2+450x+625

7)12 ( x^4-20x^3+50x^2+450x+625)=12x^4- 240x^3+600x^2+5400x+7500

состовляем уравнение из полученных результатов

  x^4+ 4x^3+6x^2+4+1-(x^10-20x^9-7x^8+272x^7-230x^6+2376x^5+4350x^4-6000x^3-

-16875x^2-12500x-3125)-( 12x^4- 240x^3+600x^2+5400x+7500)= 0

 x^4+ 4x^3+6x^2+4+1-x^10+20x^9+7x^8-272x^7+230x^6-2376x^5-4350x^4+6000x^3+

+16875x^2+12500+3125- 12x^4+ 240x^3-600x^2-5400x-7500=0

чесно я не знаю как дальше извени