Question

5х+3/х+5=3х+1/х+2 решите

Answer 1

Ответ:

0,5 ; 1

Объяснение:

Во вложении....

Answer 2

To solve the given equation, we need to find the value of x that makes both sides of the equation equal. Let's proceed with the solution:

Given equation: (5x + 3)/(x + 5) = (3x + 1)/(x + 2)

Step 1: Cross-multiply to eliminate the fractions: (5x + 3)(x + 2) = (3x + 1)(x + 5)

Step 2: Expand both sides of the equation: 5x^2 + 13x + 6 = 3x^2 + 16x + 5

Step 3: Move all terms to one side of the equation to set it to zero: 5x^2 + 13x + 6 - (3x^2 + 16x + 5) = 0

Step 4: Combine like terms: 5x^2 + 13x + 6 - 3x^2 - 16x - 5 = 0

Step 5: Simplify further: (5x^2 - 3x^2) + (13x - 16x) + (6 - 5) = 0

Step 6: Continue to simplify: 2x^2 - 3x + 1 = 0

Step 7: Now, we need to solve this quadratic equation. It can be factored as follows: 2x^2 - 3x + 1 = (2x - 1)(x - 1) = 0

Step 8: Set each factor equal to zero and solve for x:

1. 2x - 1 = 0 2x = 1 x = 1/2

2. x - 1 = 0 x = 1

So the solutions to the given equation are x = 1/2 and x = 1.