Question

Решить показательное уравнение

Answer 1

2^(x^2) * 2^( - x/4) = 8^(1/4)
2^(x^2 - x/4) = 2^(3/4)
x^2 - x/4 = 3/4
4x^2 - x - 3 = 0 
D = 1 + 48 = 49
x₁ = ( 1 + 7)/8 = 1;
x₂ = ( 1 - 7 )/8 = - 3/4