Question

12. Rezolvaţi în mulțimea numerelor naturale ecuațiile:
a) 4(x + 3) - 3(2x + 3) = 7(x+4) - 15(x + 1) +8;
b) 5(2x - 3) - 3(2x + 1) - 48 = 4(x + 3) - 4(4x + 7) + 30;
c) 5(3x + 14) - 4(5x + 12) - 15 = 2(x + 38) - 4(2x + 13) - 11;
d) 9(4x - 3) - 7(3x + 5) = 5(3x + 10) - 4(2x + 15)-4;
e) 2x(x + 1)-3(x + 4) = 2x(x - 3) + 8.
Dau coroana

Answer 1

Explicație pas cu pas:

a)4(X+3)-3(2X+3)=7(X+4)-15(X+1)+8

4X+12-6X-9=7X+28-15X-15+8

4X-6X-7X+15X=28-15+8-12+9

-2X-7X+15X=13+8-12+9

-9X+15X=21-12+9

6X=9+9

X=18:6

X=3

b)5(2X-3)-3(2X+1)-48=4(X+3)-4(4X+7)+30

10X-15-6X-3-48=4X+12-16X-28+30

10X-6X-4X+16X=12-28+30+15+3+48

4X-4X+16X=80

16X=80

X=80:16

X=5

c)5(3X+14)-4(5X+12)-15=2(X+38)-4(2X+13)-11

15X+70-20X-8-15=2X+76-8X-9-11

15X-20X-2X+8X=76-9-11-70+8+15

X=9

d)9(4X-3)-7(3X+5)=5(3X+10)-4(2X+15)-4

36X-27-21X-35=15X+50-8X-60-4

36X-21X-15X+8X=50-60-4+27+35

8X=48

X=48:8

X=6

e)2X(X+1)-3(X+4)=2X(X-3)+8

2X^2+2X-3X-12=2X^2-6X+8

2X^2+2X-3X-2X^2+6X=8+12

((2X^2 se simplifica)

2X-3X+6X=20

5X=20

X=20:5

X=4