(8х+3)²-х⁴=8х²+16;
64х²+48х+9-х⁴=8х²+16;
х⁴-56х²-48х+7=0;
По схеме Горнера:
α=-1;
(х⁴-56х²-48х+7):(х+1)=х³-х²-55х+7;
α=-7;
(х³-х²-55х+7):(х+7)=х²-8х+1;
х²-8х+1=0;
D=64-4=60; √D=2√15;
x₁=4-√15;
x₂=4+√15.
(x-(4-√15))(x-(4+√15))(x+7)(x+1)=0;
x=4±√15; -7; -1.
(8х+3)²-х⁴=8х²+16;
64х²+48х+9-х⁴=8х²+16;
х⁴-56х²-48х+7=0;
По схеме Горнера:
α=-1;
(х⁴-56х²-48х+7):(х+1)=х³-х²-55х+7;
α=-7;
(х³-х²-55х+7):(х+7)=х²-8х+1;
х²-8х+1=0;
D=64-4=60; √D=2√15;
x₁=4-√15;
x₂=4+√15.
(x-(4-√15))(x-(4+√15))(x+7)(x+1)=0;
x=4±√15; -7; -1.
