Question

1.Rezolvati ecuațiile
2x-1=5
6x-2=9
3x²-2x+1=0
6x²-5x-1=0
​

Answer 1

Răspuns:

2x=5+1

2x=6=)

X=6:2

X=3

6x-2=9

6x=9+2

6x=11

X=11:6

X=1,8(3)

9x-2x+1=0

7x+1=0

7x=0-1=0

7x=0

X=0

36x-5x-1=0

31x-1=0

31x = 0+1=1

31x=1

X=31:1=31

Answer 2

2x-1 = 5

2x = 5+1 = 6

x = 6:2

x = 3

6x - 2 = 9

6x = 9+2 = 11

x = 11/6

3x^2 -2x+1 = 0

3x^2 - 3x + x - 1 = 0

3x(x-1) + (x-1) = 0

(x-1)(3x+1) = 0

x1 = 1

3x2+1 =0 => 3x2 = -1 => x2 = -1/3

6x^2 - 5x - 1 = 0

6x^2 - 6x + x - 1 = 0

6x(x-1) + (x-1) = 0

(x-1)(6x + 1) = 0

x1 = 1

6x2 + 1 = 0 => 6x2 = -1 => x2 = -1/6