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Автор - saykinalesya98

3+5√x=13
√36+x=2+√x
Помогите решить иррациональное уравнение)

Ответ

Автор - MathVigilante
1)
3+5 sqrt{x} =13 \ 5 sqrt{x} =13-3 \ 5 sqrt{x} =10 \  sqrt{x} =2 \ x=2^2 \ x=4

2)
 sqrt{36+x}=2+ sqrt{x} \  36+x=(2+ sqrt{x})^2 \   36+x=x+ 4sqrt{x} +4 \ x-x - 4 sqrt{x} =-36+4 \ - 4 sqrt{x} =-32 \ 4 sqrt{x} =32 \  sqrt{x} =8 \ x=64

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