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(x-1)²+x-7>0 va rog frumos repede



Răspuns :

(x-1)2 + x > 7
x=0 sau x-1=0
x=0 sau x=1
(x-1)² +x -7>0
x² -2x +1 +x -7>0
x² -x -6 >0

a=1
b=-1
c=-6

Δ=b² -4ac=1-4(-6)=1+24 =25
Δ>0
a>0

x1= (-b+√Δ)/2a = (1+√25)/2 = (1+5)/2 = 3
x2= (-b-√Δ) /2a = (1-√25)/2 = (1-5)/2 = -2

S= (-∞,-2) U (3,+∞)