Question

A)x+3/x-4=x-4/x+2 /-дробь

Answer 1

Ответ:

(x + 3)(x + 2) = (x - 4)(x - 4)

x(x + 2) + 3(x + 2) = x² - 8x + 16

x² + 2x + 3x + 6 = x² - 8x + 16

x² + 5x + 6 = x² - 8x + 16

x² + 5x + 8x - x² = 16 - 6

13x = 10

x = 10 : 13

x = 10/13

Answer 2

To solve the equation (x + 3)/(x - 4) = (x - 4)/(x + 2), you'll want to find the values of x that satisfy the equation. To do this, you can cross-multiply to get rid of the fractions:

(x + 3)/(x - 4) = (x - 4)/(x + 2)

(x + 3)(x + 2) = (x - 4)(x - 4)

Now, expand both sides of the equation:

x^2 + 2x + 3x + 6 = x^2 - 4x - 4x + 16

Now, simplify the equation by combining like terms:

x^2 + 5x + 6 = x^2 - 8x + 16

Now, subtract x^2 from both sides to cancel out the x^2 terms:

5x + 6 = -8x + 16

Now, add 8x to both sides to gather the x terms on one side of the equation:

5x + 8x + 6 = 16

Combine the x terms:

13x + 6 = 16

Now, subtract 6 from both sides to isolate the x term:

13x = 10

Finally, divide both sides by 13 to solve for x:

x = 10/13

So, the solution to the equation is:

x = 10/13