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Анжелика1804
@Анжелика1804
July 2022
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Помогите с алгеброй (х^2+10х+16)^2+(х^2+11х+24)^2
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nafanya2014
Verified answer
(х²+10х+16)²+(х²+11х+24)²=0
((х+2)(х+8))²+((х+3)(х+8))²=0
(х+8)²·((х+2)²+(х+3)²)=0
(х+8)²·(х²+4х+4+х²+6х+9)=0
(х+8)²·(2х²+10х+13)=0
х+8=0 или 2х²+10х+13=0
х=-8 D=10²-4·2·13=-4<0
корней нет
Ответ. х=-8
1 votes
Thanks 1
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Answers & Comments
Verified answer
(х²+10х+16)²+(х²+11х+24)²=0((х+2)(х+8))²+((х+3)(х+8))²=0
(х+8)²·((х+2)²+(х+3)²)=0
(х+8)²·(х²+4х+4+х²+6х+9)=0
(х+8)²·(2х²+10х+13)=0
х+8=0 или 2х²+10х+13=0
х=-8 D=10²-4·2·13=-4<0
корней нет
Ответ. х=-8