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strongbaltaevowj0hz
@strongbaltaevowj0hz
August 2022
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x^3+5x^2-x-5=0
решите уравнения ДАЮ 15 БАЛЛОВ
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JeyZee89ru
X²×(x+5)-(x+5)=0
(x+5)×(x²-1)=0
x+5=0
x²-1=0
x=-5
x=1
x=-1
Ответ: x1=-5, x2=-1, x3=1
2 votes
Thanks 0
GovherSalmanova
X³+5x²-x-5=0
x²(x+5)-(x+5)=0
(x+5)(x²-1)=0
(x+5)(x-1)(x+1)=0
x+5=0 или х-1=0 или х+1=0
х1=-5. или. х2=1. или х3=1
ПРОВЕРКА:
1) x³+5x²-x-5=0
если х= -5
(-5)³+5(-5)²-(-5)-5=0
-125+5*25+5-5=0
-125+125+5-5=0
5-5=0
0=0
2) х³+5х²-х-5=0
если х=1
1³+5*1²-1-5=0
1+5*1-1-5=0
1+5-1-5=0
5-5=0
0=0
3) х³+5х²-х-5=0
если х= -1
(-1)³+5(-1)²-(-1)-5=0
-1+5*1+1-5=0
-1+5+1-5=0
-1+1=0
0=0
0 votes
Thanks 0
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Answers & Comments
(x+5)×(x²-1)=0
x+5=0
x²-1=0
x=-5
x=1
x=-1
Ответ: x1=-5, x2=-1, x3=1
x²(x+5)-(x+5)=0
(x+5)(x²-1)=0
(x+5)(x-1)(x+1)=0
x+5=0 или х-1=0 или х+1=0
х1=-5. или. х2=1. или х3=1
ПРОВЕРКА:
1) x³+5x²-x-5=0
если х= -5
(-5)³+5(-5)²-(-5)-5=0
-125+5*25+5-5=0
-125+125+5-5=0
5-5=0
0=0
2) х³+5х²-х-5=0
если х=1
1³+5*1²-1-5=0
1+5*1-1-5=0
1+5-1-5=0
5-5=0
0=0
3) х³+5х²-х-5=0
если х= -1
(-1)³+5(-1)²-(-1)-5=0
-1+5*1+1-5=0
-1+5+1-5=0
-1+1=0
0=0