Question

4/(x+2)+7/(x+3)=4/(x+2)(x+3) Дробное уравнение Помогите пожалуйста(

Answer 1

4/(x+2)+7/(x+3)=4/(x+2)(x+3)
общий множитель (х+2)(х+3) получается
4(х+3)+7(х+2)=4
4х+12+7х+14=4
4х+7х=4-12-14
11х=-22
х=-2

Answer 2

Solving the Fractional Equation 4/(x+2) + 7/(x+3) = 4/((x+2)(x+3))

To solve the given fractional equation, we can follow these steps:

1. Find a common denominator for the fractions on the left-hand side of the equation. 2. Combine the fractions and simplify the resulting expression. 3. Solve for the variable x.

Let's proceed with these steps.

Step 1: Find a Common Denominator

The common denominator for the fractions 4/(x+2) and 7/(x+3) is (x+2)(x+3).

Step 2: Combine and Simplify

Combining the fractions and simplifying the resulting expression, we get: 4/(x+2) + 7/(x+3) = 4/((x+2)(x+3)) (4(x+3) + 7(x+2))/((x+2)(x+3)) = 4/((x+2)(x+3)) (4x + 12 + 7x + 14)/((x+2)(x+3)) = 4/((x+2)(x+3)) (11x + 26)/((x+2)(x+3)) = 4/((x+2)(x+3))

Step 3: Solve for x

Now, we can solve for x by equating the numerators on both sides of the equation: 11x + 26 = 4

Subtracting 26 from both sides: 11x = -22

Dividing by 11: x = -2

So, the solution to the given fractional equation is x = -2.

This solution is obtained by simplifying the given equation and solving for the variable x.