Question

X² - 4/ x + 1 = 3x/x+1​

Answer 1

Ответ: всевсе нана фото

Объяснение:

Answer 2

To solve the equation $x^2 - \frac{4}{x + 1} = \frac{3x}{x + 1}$, we'll follow these steps:

1. Multiply through by $x + 1$ to eliminate the denominators.
2. Rearrange the equation to set it to zero.
3. Factorize if possible.
4. Solve for $x$.

Let's go through each step:

Step 1: Multiply both sides of the equation by $x + 1$:

$(x + 1) \cdot \left(x^2 - \frac{4}{x + 1}\right) = (x + 1) \cdot \frac{3x}{x + 1}$

This simplifies to:

$x(x + 1) - 4 = 3x$

Step 2: Expand and simplify:

$x^2 + x - 4 = 3x$

Step 3: Move all terms to one side of the equation:

$x^2 - 2x - 4 = 0$

Step 4: This is now a quadratic equation. You can try to factorize it or use the quadratic formula:

$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$

In this case, $a = 1$, $b = -2$, and $c = -4$. Plug these values into the quadratic formula:

$x = \frac{-(-2) \pm \sqrt{(-2)^2 - 4(1)(-4)}}{2(1)}$

Simplify further:

$x = 1 \pm \sqrt{5}$

So, the solutions to the equation are $x = 1 + \sqrt{5}$ and $x = 1 - \sqrt{5}$.