Question

Решите уравнение (х^2-2x-3)*√x-2=0 и укажите сумму его решений

Answer 1

$( {x}^{2} - 2x - 3) \times \sqrt{x - 2} = 0 \\ {x}^{2} - 2x - 3 = 0 \\ \sqrt{ x- 2} = 0 \\ x = 3 \\ x = - 1 \\ x = 2 \\ ( {3}^{2} - 2 \times 33) \times \sqrt{3 - 2} = 0 \\ (( - 1)^{2} - 2 \times ( - 1) - 3) \times - \sqrt{ - 1 -2 } = 0 \\ ( {2}^{2} - 2 \times 2 - 3) \times \sqrt{2 - 2} = 0 \\ 0 = 0 \\ 0 \sqrt{ - 3} = 0 \\ 0 = 0$