Odpowiedź:
a) [tex]3x + 6x - 4 = 14[/tex] // +4
[tex]9x = 18[/tex]
[tex]x = 2[/tex]
b) [tex]\frac{x}{5} - \frac{x}{2} = 3[/tex] // *10
[tex]2x - 5x = 30[/tex]
[tex]-3x = 30[/tex]
[tex]x = -10[/tex]
c) [tex](x-1)(x+2) = x^{2}[/tex]
[tex]x^{2} +2x - x - 2 = x^{2}[/tex]
[tex]x - 2 = 0[/tex]
[tex]x = 2[/tex]
Odpowiedź:
Szczegółowe wyjaśnienie:
a
3x + 2(3x -2) = 14
3x + 6x - 4 = 14
9x = 14 + 4
9x = 18 /:9
x = 2
b
x/5 - x/2 = 3
2x/10 - 5x/10 = 3
-3x/10 = 3 /:(-3/10)
x = -10
c
x-1/x = x/x+2
(x - 1)(x +2) = x * x
x^2 + 2x - x -2 - x^2 = 0
x - 2 = 0
x = 2