Question

Решите уравнение x^2 - 5x + 3 = 0

Answer 1

Через дискриминант: 25-4x(3x2)=25-24=1

Первый корень=5-1/2=2

Второй корень =5+1/2=3

Answer 2

To solve the quadratic equation $x^2 - 5x + 3 = 0$, we can use the quadratic formula:

The quadratic formula states that for an equation of the form $ax^2 + bx + c = 0$, the solutions for $x$ are given by:

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

In the case of $x^2 - 5x + 3 = 0$, $a = 1$, $b = -5$, and $c = 3$. Now, we can plug these values into the quadratic formula to find the solutions for $x$:

$x = \frac{-(-5) \pm \sqrt{(-5)^2 - 4 \cdot 1 \cdot 3}}{2 \cdot 1}$

$x = \frac{5 \pm \sqrt{25 - 12}}{2}$

$x = \frac{5 \pm \sqrt{13}}{2}$

Therefore, the solutions for $x$ are:

$x = \frac{5 + \sqrt{13}}{2} \approx 3.30$

$x = \frac{5 - \sqrt{13}}{2} \approx 1.69$

So the two solutions to the equation $x^2 - 5x + 3 = 0$ are approximately $x \approx 3.30$ and $x \approx 1.69$.