Решите уравнение 1) (4-3z)^3 +z(14+27z^2)=10z^2+77 2) (5х+2)^3-25x(5x^2-4)=150x^2+21

Question

Решите уравнение 1) (4-3z)^3 +z(14+27z^2)=10z^2+77 2) (5х+2)^3-25x(5x^2-4)=150x^2+21

Answer 1

1) 64-144z+108z²-27z³+14z+27z³-10z²-77=0

108z²-10z²+14z-144z+64-77=0

98z²-130z-13=0

D=16900+5096= 21996

z1= (130+√21996)/196= (130+2√5499)/196= (65+√5499)/98

z2= (130-√21996)/196= (65-√5499)/98

2) 125x³+150x²+60x+8-125x³+100x-150x²-21=0

160x=13

x= 13/160