Suma a doua numere este 24 de intregi 3 pe 8.aflati numerele stiiind ca unul dintre ele este mai mare decat celalalt cu 3 intregi 5 pe 6

Google Translate gave me the following translation:

The sum of two numbers is 24 whole 3 by 8.Lay the numbers knowing that one of them is bigger than the other with 3 whole 5 on 6.

Let the two numbers be x and y.  Then x+y=24 3/8.  Let x be the larger number.  Then x = y+ 3 5/6.

Solve these two equations for x and y.  Solve the first equation for x, obtaining x = (24 3/8) - y.  Subst. this into the 2nd equation, we get 
24 3/8 - y = y + 3 5/6, so 24 3/8 - (3 5/6) = 2y = 20.542, so y = 10.27.  Since x = y + 3 5/6, x = 10.27 + 3 5/6 = 14.104

Solution:  (10.27, 14.10)
 

x(t)=

Step-by-step explanation:

The function x(s) = (2)/(s(s+1)^2) can be expressed as partial fractions:

X(s)=

2=A·(s+1)²+B·s·(s+1)+C·s

2=A·(s²+2s+1)+B·(s²+s)+C·s

2=A·s²+2sA+A+B·s²+Bs+C·s

2=s²(A+B)+s(2A+B+C)+A

So we can find the values of A, B and C by solving these equations:

A+B=0 ⇒ 2+B=0 ⇒ B= -2

2A+B+C=0 ⇒ 2·2+(-2)+C=0 ⇒ C= -2

A=2

So X(s) is expressed as:

X(s)=

Using the inverse laplace transform tables we obtain x(t):

ℒ⁻¹{X(s)}=ℒ⁻¹{}

ℒ⁻¹{X(s)}=ℒ⁻¹{}+ℒ⁻¹{}+ℒ⁻¹{}

x(t)=