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karinajjjjj9
@karinajjjjj9
July 2022
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√(x+3)+√(x-2)=√(4x+1) решить уровнение
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777erlan07
Знака из под корнем нет так что буду использовать такой {
и так ;
{(x+3)+{(x-2)={(4x+1)
({(x+3)+{(x+2)=4x+1
x+3+2×{(x+3)×{(x-2)+x-2=4x+1
2 {((x+3)(x-2))=4x+1-x-3-x+2
2 {(x^2-2x+3x-6)=2x
{(x^2+x-6=2x/2
x^2+x-6=x^2
x-6=0
x=6
3 votes
Thanks 9
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Answers & Comments
и так ;
{(x+3)+{(x-2)={(4x+1)
({(x+3)+{(x+2)=4x+1
x+3+2×{(x+3)×{(x-2)+x-2=4x+1
2 {((x+3)(x-2))=4x+1-x-3-x+2
2 {(x^2-2x+3x-6)=2x
{(x^2+x-6=2x/2
x^2+x-6=x^2
x-6=0
x=6