1)разложи ** множители t^3−t^2−0,4t+0,064 2) решите уравнение 49z+49−z^3−z^2=0 Z1= Z2= Z3=

Question

1)разложи на множители
t^3−t^2−0,4t+0,064
2) решите уравнение
49z+49−z^3−z^2=0
Z1=
Z2=
Z3=

Answer 1

1)
=(t^3+0.064)-(t^2+0.4t)=
=(t+0.4)(t^2-0.4t+0.16)-t(t+0.4)=
=(t+0.4)(t^2-0.4t+0.16-t)=
=(t+0.4)(t^2-1.4t+0.16)

2)
49(z+1)-z^2(z+1)=0
(z+1)(49-z^2)=0
(z+1)(7-z)(7+z)=0
z+1=0
z1=-1
7-z=0
z2=7
7+z=0
z3=-7