Senezim
5 год назад
Решите уравнение 5²ˣ⁺¹ = 26*5ˣ-5
ОТВЕТЫ
Radievich
Jun 30, 2019
5^(2x)*5 = 26*5^x - 5
5^x = t
5t^2 - 26t + 5 = 0
D = 576 = 24^2
t1 = ( 26 + 24)/10 = 5
t2 = (26 - 24)/10 = 2/10 = 1/5
#1
5^x = 5
x = 1
#2
5^x = 1/5
x = - 1
Ответ
- 1; 1
5^x = t
5t^2 - 26t + 5 = 0
D = 576 = 24^2
t1 = ( 26 + 24)/10 = 5
t2 = (26 - 24)/10 = 2/10 = 1/5
#1
5^x = 5
x = 1
#2
5^x = 1/5
x = - 1
Ответ
- 1; 1
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