Решите неравенство: (21 5)(5x 1,5) amp;gt; 0

21-5=16  а корень из 16 одинаково 4

4(5х-1.5)gt;0

20х-6gt;0

20xgt;6

xgt;20/6

х^(2)-0,5x-5lt;0

 x2 - 0.5x - 5 = 0
D = b2 - 4ac
D = 0.25 + 20 = 20.25 = (20.25)^2

x1,2 = -b D/2a
x1 = 0.5 + 20.25/2
x2 = 0.5 - 20.25/2
Ответ: x1 = 0.5 + 20.25/2 ; x2 = 0.5 - 20.25/2

  x2 - 0.5x - 5 =a(x-x1)(x+x2)=(x-0.5 + 20.25/2)(x+0.5 - 20.25/2)

  (x-0.5 + 20.25/2)(x+0.5 - 20.25/2)lt;0