(5^160*2^162)/20*10^160)=50^160*2^162/20
1)5^160*10^160=50^160
T^2 - 9t = z
z^2 + 22z + 112 = 0
D = 36
z1 = ( - 22 + 6)/2 = - 16/2 = - 8
z2 = ( - 22 - 6)/2 = - 28/2 = - 14
1) t^2 - 9t = - 8
2) t^2 - 9t = - 14
(1) t^2 - 9t + 8 = 0
D = 49 = 7^2
t1 = ( 9 + 7)/2 = 8
t2 = 1
(2) t^2 - 9t + 14 = 0
D = 25
t3 = ( 9 + 5)/2 = 7
t4 = 2
Ответ
1; 2; 7; 8
2t² - 12t + 16 > 0
t² - 6t + 8 > 0
(t - 2)(t - 4) > 0
+ - +
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2 4
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Ответ : t < 2 , t > 4