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aristarhovkola
@aristarhovkola
July 2022
1
5
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1)x³-x²+x-1=0
2)x³+x²-x-1=0
3)x³+x²+x+1=0
4)x²-7x-8=0
5)x²+9x-10=0
помогите пож
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прр40
Verified answer
1)x³-x²+x-1=0
(x³-x²)+(x-1)=0
x²(x-1)+(x-1)=0
(x-1)(x²+1)=0
x-1=0. ; x²+1=0
x=1. x-не имеет смысла
Ответ: 1
2)x³+x²-x-1=0
(х³+х²)-(х+1)=0
х²(х+1)-(х+1)=0
(х+1)(х²-1)=0
х= -1; х= -1; 1
Ответ:1; -1
3)x³+x²+x+1=0
(х³+х²)+(х+1)=0
х²(х+1)+(х+1)=0
(х+1)(х²+1)=0
х+1=0; х²+1=0
х= -1; х-не имеет смысла
4) x²-7x-8=0
D=49-4*(-8)=49+32=81
x= (7+9)/2=16/2=8
x=(7-9)/2= -2/2= -1
Ответ: 8; -1
5) x²+9x-10=0
D=81-4*(-10)=81+40=121
x=( -9+11)/2=2/2=1
х=(-9-11)/2= -20/2= -10
Ответ: 1; -10
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Answers & Comments
Verified answer
1)x³-x²+x-1=0(x³-x²)+(x-1)=0
x²(x-1)+(x-1)=0
(x-1)(x²+1)=0
x-1=0. ; x²+1=0
x=1. x-не имеет смысла
Ответ: 1
2)x³+x²-x-1=0
(х³+х²)-(х+1)=0
х²(х+1)-(х+1)=0
(х+1)(х²-1)=0
х= -1; х= -1; 1
Ответ:1; -1
3)x³+x²+x+1=0
(х³+х²)+(х+1)=0
х²(х+1)+(х+1)=0
(х+1)(х²+1)=0
х+1=0; х²+1=0
х= -1; х-не имеет смысла
4) x²-7x-8=0
D=49-4*(-8)=49+32=81
x= (7+9)/2=16/2=8
x=(7-9)/2= -2/2= -1
Ответ: 8; -1
5) x²+9x-10=0
D=81-4*(-10)=81+40=121
x=( -9+11)/2=2/2=1
х=(-9-11)/2= -20/2= -10
Ответ: 1; -10