Question

решить уравнение!срочно!

Answer 1

х³ - х  = 0
х(х²  - 1) = 0
х(х²  - 1²) = 0
х(х-1)(х+1) = 0
х₁ = 0
х-1=0
х₂=1
х+1=0
х₃= - 1

х⁴ +х² = 0
х²(х² + 1) = 0
х² = 0
х₁ = 0
х² + 1 =0
х² = - 1
х²<0  - нет решений


х⁴ - 8х³ =0
х³(х  - 8) =0
х³ = 0
х₁ = 0
х - 8 =0
х₂ = 8

49х³ +14х² + х = 0
х(49х² + 14х + 1) = 0
х ( (7х)²  + 2*7х*1 + 1²) = 0
х(7х +1)² =0
х₁ = 0
(7х+1)² = 0
7х + 1 =0
7х = -1
х₂ = - ¹/₇

х³ +х² - х  - 1 =0
х²(х +1)  - 1(х + 1) =0
(х² - 1)(х+1) = 0
(х-1)(х+1)(х+1) =0
(х-1)(х+1)² =0
х - 1 =0
х₁ = 1
(х+1)² = 0
х + 1 =0
х₂ = - 1

х³ - 4х² - 25х + 100 = 0
х²(х - 4)  - 25(х - 4)  = 0
(х²  - 25)(х -4) = 0
(х²  - 5²)(х-4) =0
(х - 5)(х + 5)(х-4) =0
х - 5 =0
х₁ = 5
х + 5 = 0
х₂  = -5
х - 4 =0
х₃ = 4