Hej!
(4x² - 25)(3x² - 7x + 2) = 0
4x² - 25 = 0
(2x)² - 5² = 0
(2x + 5)(2x - 5) = 0
2x + 5 = 0 → x = -2,5
2x - 5 = 0 → x = 2,5
3x² - 7x + 2 = 0
a = 3, b = -7, c = 2
Δ = (-7)² - 4 · 3 · 2 = 49 - 24 = 25
√Δ = 5
x = (-(-7) - 5)/(2 · 3) = 2/6 = 1/3
x = (-(-7) + 5)/(2 · 3) = 12/6 = 2
Odp. Równanie ma jeden pierwiastek całkowity, x = 2.
