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fulhtq2015машачёртик
@fulhtq2015машачёртик
August 2022
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√(x+2) - √(2x-3) = 1
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AnonimusPro
Verified answer
Кор(x+2)=1+кор(2x-3);
x+2=1+2кор(2x-3)+2x-3;
1-x=2кор(2х-3)-3;
2кор(2х-3)=4-x;
4*(2x-3)=x^2-8x+16, где 4-x>0
8x-12=x^2-8x+16;
x^2-16x+28=0;
D=144;
x1=14; - не подходит;
x2=2
Ответ: x=2
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Answers & Comments
Verified answer
Кор(x+2)=1+кор(2x-3);x+2=1+2кор(2x-3)+2x-3;
1-x=2кор(2х-3)-3;
2кор(2х-3)=4-x;
4*(2x-3)=x^2-8x+16, где 4-x>0
8x-12=x^2-8x+16;
x^2-16x+28=0;
D=144;
x1=14; - не подходит;
x2=2
Ответ: x=2