Question

Stabiliti soluția intreaga a ecuatiei:
(x+2)² supra 2 -(x-3)•(x+3) supra 3 =2x-1 supra 2 + (x-1)² supra 6​

Answer 1

Răspuns:

(x+2)^2/2 - (x-3)(x+3)/3=(2x-1)/2+

(x-1)^2/6

(x^2+4x+4)/2-(x^2-9)/3=(2x-1)/2+

(x^2-2x+1)/6

3(x^2+4x+4)/6-2(x^2-9)/6=3(2x-1)/6+

(x^2-2x+1)/6

(3x^2+12x+12)/6-(2x^2-18)/6=

(6x-3)/6+(x^2-2x+1)/6

(x^2+12x+30)/6=(x^2+4x-2)/6 /×6

x^2+12x+30=x^2+4x-2

12x-4x= - 2-32

8x= - 32 /:8

x= - 4

Explicație pas cu pas: