SOLUTION: решить уравнение 2^(х^2) : 4^х =8

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: решить уравнение 2^(х^2) : 4^х =8      Log On


   

Question 674197: решить уравнение

2^(х^2) : 4^х =8
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
2%5E%28x%5E2%29+%2F+4%5Ex+=8

2%5E%28x%5E2%29+%2F2%5E%282x%29+=2%5E3

2%5E%28x%5E2%29++=2%5E3%2A2%5E%282x%29

2%5E%28x%5E2%29++=2%5E%283%2B2x%29...........Если основание то же самое, то же показателями

x%5E2+=3%2B2x

x%5E2-2x-3=0........заменить %28-2x%29 c x-3x

x%5E2%2B1+-3x-3=0.......кластер

%28x%5E2%2B1x%29+-%283x%2B3%29=0

x%28x%2B1%29+-3%28x%2B1%29=0

%28x-3%29%28x%2B1%29=0

решения

x+=3 and x=-1