Ответ..............................
Х^2-2х+3х-6-(х^2+2х-3х-6)-5=6х-7
х^2-2х+3х-6-х^2-2х+3х+6-5-6х+7=0
-4х+6х-5-6х+7=0
-4х=-2
х=0,5
(-1/3*(-9/4)*(a³*a²)*(b*b³)=3/4*a^5b^4
∛(24 +√x) -∛(5+√x) =1 ;
(∛(24 +√x) -∛(5+√x) ) =1³ ;
24 +√x - 3∛( 24 +√x)*∛(5+√x) ( 3∛( 24 +√x)- ∛(5+√x) -(5+√x) =1 ;
* * * (a-b)³ =a³ -3ab(a-b) -b³ * * *
24 +√x - 3∛( 24 +√x)*∛(5+√x) ( 3∛( 24 +√x)- ∛(5+√x)) -(5+√x) =1 ;
24 +√x - 3∛(( 24 +√x)*(5+√x)) *1 -(5+√x) =1 ;
3∛(( 24 +√x)*(5+√x)) =18 ;
∛(( 24 +√x)*(5+√x)) =6 ;
(24 +√x)*(5+√x) =6³ ;
(√x)²+29√x -96 =0 ; D =29² +4*96 =841+384 =1225 =35² ;√D =35 ,
(√x) = (-29 -35)/2 = - 32 < 0 ,не имеет коней .
(√x) = (-29 +35)/2=3⇒ x =9.
ответ : 9 .
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Проверка : ∛(24 +√9) -∛(5+√9) = ∛(24 +3) -∛(5+3)=∛27 -∛8= 3 -2 =1.