Question

3x+4/x-6=x-2/4x+3 c решением пожалуйста

Answer 1

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Answer 2

Problem Statement

The given equation is: 3x + 4/x - 6 = x - 2/4x + 3 + c.

Solution

To solve the equation, we need to simplify and rearrange the terms to isolate the variable x.

Step 1: Multiply both sides of the equation by the denominators to eliminate the fractions: 3x(x - 2) + 4(4x + 3)(x - 6) = (x - 2)(4x + 3)(x - 6) + c(x - 2)(4x + 3).

Step 2: Expand and simplify both sides of the equation: 3x^2 - 6x + 16x^2 - 48x + 4x + 3 = 4x^3 - 12x^2 - 24x + 8x^2 - 24x + 6x - 12 + 4cx - 6c.

Step 3: Combine like terms on both sides of the equation: 19x^2 - 27x + 3 = 4x^3 - 4x^2 - 18x - 12 + 4cx - 6c.

Step 4: Move all terms to one side of the equation to form a cubic equation: 4x^3 - 4x^2 - 18x - 12 + 4cx - 6c - 19x^2 + 27x - 3 = 0.

Step 5: Simplify the equation: 4x^3 - 23x^2 + 9x - 15 + 4cx - 6c = 0.

The equation 4x^3 - 23x^2 + 9x - 15 + 4cx - 6c = 0 is the simplified form of the given equation.

Please note that the solution to this equation cannot be determined without additional information about the value of c.