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rezolvati in multimea numerelor reale ecuatiile (×+1) patrat - 9 = 0
(x - 2) patrat = 4
x patrat +2 radical 2x. + 2 = 0
x patrat + 2x. + 1 = 25
x patrat -2 radical 3x. +3 = 27
x patrat + 3x +2 = 0
x patrat + x - 2 = 0
-x patrat + 2x + 5 = 0​


Răspuns :

Răspuns:

Explicație pas cu pas:

(x+1)²-9=0   ⇒(x+1+9)(x+1-9)=0    ⇒x1=-10   ; x2=8

(x-2)²-4=0   ⇒(x-2+2)(x-2-2)=0    ⇒x1=0     ; x2=4

x²+2√2x+2=0     ⇒(x+√2)²=0    ⇒x1,2=-√2

x²+2x+1=25   ⇒(x+1)-25=0    ⇒(x+1+5)(x+1-5)=0   ⇒x1=-6   ;x2=4

(x-√3)²-27=0   ⇒(x-√3+3√3)(x-√3-3√3)=0   ⇒x1=-2√3  ; x2=4√3

x²+3x+2=0    ⇒(x+1)(x+2)=0    ⇒x1=-1    ; x2=-2

x²+x-2=0

x1,2=(-1±√1+8)/2=(-1±3)/2    ⇒x1=-2      x2=1

x²-2x-5=0

x1,2=1±√1+5    ⇒x1=1+√6    ;x2=1-√6