Question

log0,5 (x2 - 3x) = -2.​

Answer 1

Ответ:

$log_{0.5}( {x}^{2} - 3x ) = - 2 \\ {x}^{2} - 3x = {0.5}^{ - 2} \\ {x}^{2} - 3x = 4 \\ {x}^{2} - 3x - 4 = 0 \\ {x}^{2} + x - 4x - 4 = 0 \\ x(x + 1) - 4(x + 1) = 0 \\ (x + 1)(x - 4) = 0 \\ x + 1 = 0 \\ x1 = - 1 \\ \\ x - 4 = 0 \\ x2 = 4$