Question

Решить x(x − 3) = 1

Answer 1

Ответ: x(x − 3) = 1 ⇒х²-3*х-1=0 дискриминант D=9+4=13 корни х1=(3+√13)/2 и х2=(3-√13)/2. Всё просто.

Пошаговое объяснение:

Answer 2

To solve the quadratic equation $x(x - 3) = 1$, we'll first expand the equation and then set it equal to zero to find the roots.

Step 1: Expand the equation: $x(x - 3) = x^2 - 3x = 1$

Step 2: Set the equation equal to zero: $x^2 - 3x - 1 = 0$

Now, we have a quadratic equation in the form $ax^2 + bx + c = 0$ where $a = 1$, $b = -3$, and $c = -1$. To solve this quadratic equation, we can use the quadratic formula:

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

Plugging in the values, we get:

$x = \frac{-(-3) \pm \sqrt{(-3)^2 - 4 \cdot 1 \cdot (-1)}}{2 \cdot 1}$ $x = \frac{3 \pm \sqrt{9 + 4}}{2}$ $x = \frac{3 \pm \sqrt{13}}{2}$

Therefore, the two solutions to the equation are:

$x = \frac{3 + \sqrt{13}}{2}$ and $x = \frac{3 - \sqrt{13}}{2}$