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Pierwszy ciąg:
a1 = 0-2 = -2
a2 = 5*0+10 = 10
a3 = 0-50 = -50
q = 10:(-2) = -5
Drugi ciąg:
a1 = - 6 1/3 -2 = - 8 1/3
a2 = 5* (-6 1/3) +10 = 5 *(- 19/3) +10 = -95/3+30/3 = -65/3 = -21 2/3
a3 =- 6 1/3 - 50 = - 56 1/3
q = -21 2/3 : (-8 1/3) = -65/3 : (-25/3) = -65/3 * (-3/25) = 65/25 = 2,6
(5x + 10) (5x + 10) = (x- 2) (x-50)
25x² + 50x + 50x + 100 = x² -50x -2x +100
24x² + 152x = 0 / : 4
6x² + 38x =0 /:2
3x² + 19x =0
x ( 3x + 19) =0
x =0 lub 3x + 19 = 0
3x= -19 /3
x= -19/3
x = - 6 i 1/3