Question

Решите уравнение x+3/x-2=2 (заранее спасибо)

Answer 1

Ответ:

$\frac{x + 3}{x - 2} = 2 \\ x + 3 = 2(x - 2) \\ x + 3 = 2x - 4 \\ x - 2x = - 4 - 3 \\ - x = - 7 \\ x = 7$

Answer 2

I can help you solve the equation. Here are the steps:

- First, we need to clear the fraction by multiplying both sides of the equation by $$x-2$$. - This gives us $$x^2+x-2=2x-4$$. - Next, we need to rearrange the equation into a standard quadratic form by subtracting $$2x-4$$ from both sides. - This gives us $$x^2-x+2=0$$. - Now, we can use the quadratic formula to find the values of $$x$$ that satisfy the equation. The formula is $$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$$, where $$a$$, $$b$$, and $$c$$ are the coefficients of the quadratic equation. - In our case, $$a=1$$, $$b=-1$$, and $$c=2$$, so we plug these values into the formula and simplify. - This gives us $$x=\frac{1\pm\sqrt{-7}}{2}$$. - Since we have a negative number under the square root, the equation has no real solutions. However, we can use complex numbers to express the solutions. A complex number has the form $$a+bi$$, where $$a$$ and $$b$$ are real numbers and $$i$$ is the imaginary unit that satisfies $$i^2=-1$$. - Therefore, the solutions of the equation are $$x=\frac{1+\sqrt{7}i}{2}$$ and $$x=\frac{1-\sqrt{7}i}{2}$$.

I hope this helps you understand how to solve the equation. If you have any other questions, feel free to ask me.Ответь+подробно.++Решите+уравнение++x+3/x-2=2+(заранее+спасибо)+