Question

решите уравнение |||2х-3|-4|-4|=4​

Answer 1

Пошаговое объяснение:

$| | |2x - 3| - 4| - 4| = 4$

$| |2x - 3| - 4| - 4 = 4$

$| |2x - 3| - 4| - 4 = - 4$

$| |2x - 3| - 4| = 4 + 4$

$| |2x - 3| - 4| = 8$

$|2x - 3| - 4 = 8$

$|2x - 3| - 4 = - 8$

$x = \frac{15}{2}$

$x = - \frac{9}{2}$

х є ∅

$x = \frac{7}{2}$

$x = - \frac{1}{2}$

$x = - \frac{9}{2}$

$x = - \frac{1}{2}$

$x = \frac{7}{2}$

$x = \frac{15}{2}$

Остаточные решения:

$x1 = - \frac{9}{2} = - 4.5$

$x2 = - \frac{1}{2} = - 0.5 \\ x3 = \frac{7}{2} = 3.5 \\ x4 = \frac{15}{2} = 7.5$