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Ответ

Ответ дан
Katie004

Замена √х=а, тогда х=а².

а²+а=12

По т. Виета:

а= -4 => √х= -4 => х Є Ø.

a= 3 => √x= 3 => x=9.

Ответ: 9.

Ответ

Ответ дан
rs19990809

Ответ:

x=9

Пошаговое объяснение:

x +  sqrt{x}  = 12 \  sqrt{x}  = y \  {y}^{2}  + y - 12 = 0 \ d = 1 + 48 = 49 \ y1 =  frac{ - 1 + 7}{2}  =  3 \ y2 =  frac{ - 1  - 7}{2}  =  - 4 \  sqrt{x1}  = 3 \  sqrt{x2} =  - 4  \ x = 9

Второй корень не рассматриваем(√x=-4), т.к. корень четной степени всегда неотрицателен

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