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Histmaris
@Histmaris
July 2022
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Решить уравнение на фотографии. 11 класс
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leliktp
Sqrt(2x+3)+sqrt(2x+5)=4/(sqrt(2x+5))
домножаем на sqrt(2x+5)
sqrt((2x+3)(2x+5))+2x+5=4
sqrt((2x+3)(2x+5))=-1-2x
возводим в квадрат
(2x+3)(2x+5)=(-1-2x)^2
4x^2+16x+15=1+4x+4x^2
12x=-14
x=-14/12
x=-7/6
1 votes
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Answers & Comments
домножаем на sqrt(2x+5)
sqrt((2x+3)(2x+5))+2x+5=4
sqrt((2x+3)(2x+5))=-1-2x
возводим в квадрат
(2x+3)(2x+5)=(-1-2x)^2
4x^2+16x+15=1+4x+4x^2
12x=-14
x=-14/12
x=-7/6