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PPakhomova13
@PPakhomova13
July 2022
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решите уравнение (x^2+2x)^2-149x^2+2x)-15=0
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MaxikMK
(х²+2х)²-14(х²+2х)-15=0;
x⁴+4x³-10x²-28x-15=0;
(x+1)²(x²+2x-15)=0;
(x+1)²(x-3)(x+5)=0.
(x+1)²=0; x-3=0; x+5=0.
x=-1; x=3; x=-5.
Ответ: -1; 3; -5.
1 votes
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Answers & Comments
x⁴+4x³-10x²-28x-15=0;
(x+1)²(x²+2x-15)=0;
(x+1)²(x-3)(x+5)=0.
(x+1)²=0; x-3=0; x+5=0.
x=-1; x=3; x=-5.
Ответ: -1; 3; -5.