Question

Решить уравнение х^2+3x+2=0​

Answer 1

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Answer 2

To solve the quadratic equation $x^2 + 3x + 2 = 0$, we can use the quadratic formula. The quadratic formula states that for any 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 equation $x^2 + 3x + 2 = 0$, $a = 1$, $b = 3$, and $c = 2$. Now, let's plug these values into the quadratic formula:

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

Simplifying the expression under the square root:

$x = \frac{-3 \pm \sqrt{9 - 8}}{2}$ $x = \frac{-3 \pm \sqrt{1}}{2}$

Now, we have two solutions for $x$:

1. $x = \frac{-3 + 1}{2} = \frac{-2}{2} = -1$
2. $x = \frac{-3 - 1}{2} = \frac{-4}{2} = -2$

So, the solutions to the equation $x^2 + 3x + 2 = 0$ are $x = -1$ and $x = -2$.