Решите уравнение.

х-x^3=0,

4y^3-y=0,

x^4-x^2=0,

9y^2-4y^4=0

1. х-x^3=0

x (1-x^2) = 0

x (1-x) (1+x) = 0

x=0 x=1 x=-1

2. 4y^3-y=0,

y (4y^2-1) = 0

y (2y-1) (2y+1) = 0

y=0 y=0.5 y=-0.5

3. x^4-x^2=0

x^2 (x^2-1) = 0

X^2 (x-1) (x+1) = 0

x=0 x=1 x=-1

4. 9y^2-4y^4=0

y^2 (9-4y^2) = 0

y^2 (3-2y) (3+2y) = 0

y=0 y=1.5 y = - 1.5

1) x-x^3=0

x (1-x^2) = 0

x=0; или 1-x^2=0

x^2=1

x=1; или x=-1;

Ответ:x=0; x=1; x=-1;

2) 4y^3-y=0

y (4y^2-1) = 0

y=0; или 4y^2-1=0;

4y^2=1

y^2=1:4

y=1:16; или y=-1:16;

Ответ:y=0: y=1:16; y=-1:16

3) x^4-x^2=0

x^2 (x^2-1) = 0

x^2=0; или x^2-1=0;

x=0 x^2=1

x=1; или x=-1;

Ответ:x=0; x=1; x=-1;

4) 9y^2-4y^4=0

y^2 (9-4y^2) = 0

y^2=0; или 9-4y^2=0

y=0 4y^2=9

y^2=9:4

y=81:16; или y=-81:16

y=5+1:16 y = - (5+1:16)

Ответ:y=0; y=5+1:16; y = - (5+1:16) ;