Odpowiedź:
Szczegółowe wyjaśnienie:
a) 100x² - 81=0
100x² = 81 /:100
x² = 81/100
x1 = 9/10 = 0,9
x2 = - 0,9
b) 1/4 x² - 1/9 = 0
1/4 x² = 1/9 / *4
x² = 4/9
x1 = 2/3
x2 = - 2/3
c) x² + 10x + 25= 0
Δ = 100 - 100 = 0
x1=x2=-10/2 = -5
d) x² + 64 = 16x
x² - 16x + 64 = 0
Δ = 256 - 256= 0
x1=x2= -(-16)/2 = 8
e) 24x - x² = 144
x² - 24x + 144 = 0
Δ = 576 - 576 = 0
x1=x2= 24/2 = 12
f) 1 + 9x²+ 6x = 0
9x² + 6x + 1 = 0
Δ = 36 - 36 = 0
x1=x2= -6/18 = - 1/3