Question

(x+2)/(x-8)-(x-1)/(x-8)=3/2 помогите решить

Answer 1

Найдём общий знаменатель 2*(х-8) и дополнительные множители к каждой дроби
2(х+2)-2(х-1)=3(х-8)
2х+4-2х+2=3х-24
3х=24+4+2
3х=30
х=10 проверка 
2*(10-8)=4≠0, значит х=10 корень

Answer 2

Problem Analysis

We are given the equation: (x+2)/(x-8) - (x-1)/(x-8) = 3/2 and we need to solve for x.

Solution

To solve the equation, we can start by simplifying the left side of the equation. Since both fractions have the same denominator, we can combine them into a single fraction:

((x+2) - (x-1))/(x-8) = 3/2

Simplifying the numerator:

(x+2 - x + 1)/(x-8) = 3/2

Simplifying further:

(3)/(x-8) = 3/2

Now, we can cross-multiply to solve for x:

2 * 3 = 3 * (x-8)

6 = 3x - 24

Adding 24 to both sides:

6 + 24 = 3x

30 = 3x

Dividing both sides by 3:

x = 10

Therefore, the solution to the equation is x = 10.

Answer

The solution to the equation (x+2)/(x-8) - (x-1)/(x-8) = 3/2 is x = 10.