решите уравнение: а) 2z^3-z^2-10z=0. б) 10x^4+3x^3-18x^2=0. в) 3y^4-6y^3+3y^2=0. г) 4u^3-12u^2+9u=0

1)

z (2z^2-z-10) = 0

z1=0

2z^2-z-10=0

d=1^2-4*2*-10=81=9^2

z2=2.5

z3=-2

2)

10x^4+3x^3-18x^2=0

x^2 (10x^2+3x-18) = 0

x1=0

10x^2+3x-18=0

d=3^2-4*10*-18=729=27^2

x2=1.2

x3=-1.5

3)

3y^4-6y^3+3y^2=0

3y^2 (y^2-2y+1) = 0

3y^2 (y-1) ^2=0

y1=0

y2=1

4)

4u^3-12u^2+9u=0

u (4u^2-12u+9) = 0

u (2u-3) ^2=0

u1=0

u2=1.5

1) z (2z²-z-10) = 0⇒z=0 или 2z²-z-10=0, D=81, z=2,5 U z=-2

2) x² (10x²+3x-18) = 0⇒x=0 или 10x²+3x-18=0, D=729, x=1,2 U x=-1,5

3) 3y² (y²-2y+1) = 0, 3y² (y-1) ²=0⇒y=0 U y=1

4) u (4u²-12u+9) = u (2u-3) ²=0⇒u=0, u=1,5