a)
3x² = 0 /:3
x² = 0
x = 0
b)
x² - x = 0
x(x - 1) = 0
x = 0 ∨ x - 1 = 0
x = 0 ∨ x = 1
c)
x² + √2 = 0
x² ≠ -√2
Brak rozwiazania
d)
-1/3 x² = x |·(-3)
x² + 3x = 0
x(x + 3) = 0
x = 0 ∨ x + 3 = 0
x = 0 ∨ x = -3
e)
x² + 10 = 0
x² ≠ -10
Brak rozwiązania
f)
3x² - 3 = 0 /:3
x² - 1 = 0
x² - 1² = 0
(x + 1)(x - 1) = 0
x + 1 = 0 ∨ x - 1 = 0
x = -1 ∨ x = 1
g)
1/3 x² = 5 |·3
x² -15 = 0
(x + √15)(x - √15) = 0
x + √15 = 0 ∨ x + √15 = 0
x = -√15 ∨ x = √15
