Question

sqrt(x+2)=sqrt(3-x) Памагите решить срочна, а то мне два поставят

Answer 1

$sqrt{x+2}= sqrt{3-x} \ ================ \ left { {{x+2 geq 0} atop {3-x geq 0}} right. \ left { {{x geq -2} atop {x leq 3}} right. \ -2 leq x leq 3\ ================ \ (sqrt{x+2})^2= (sqrt{3-x})^2\ x+2=3-x\ x+x=3-2\ 2x=1\ x= frac{1}{2}$
Ответ: $x= frac{1}{2}$

Answer 2

$(sqrt{x+2}) ^{2} = (sqrt{3-x} ) ^{2}$                                  ОДЗ: 1) x + 2 ≥ 0
x + 2 = 3 - x                                                                      x ≥ - 2
2x = 1                                                                            2) 3 - x ≥ 0
x = 0,5                                                                               - x ≥ - 3
                                                                                           x ≤ 3
                                                                                           x ∈ [- 2 ; 3]
Ответ: 0,5