Question

X2+5x=0 решить уровнение

Answer 1

Ответ:

0, -5

Объяснение:

x(x+5)=0

x=0  или  x+5=0

x=0    x=-5

Answer 2

I can help you solve quadratic equations. Here is the detailed solution for your equation:

$$x^2+5x=0$$

To solve this equation, we need to find the values of $x$ that make it true. One way to do this is to factor the equation. We can look for two numbers that multiply to give the constant term (0) and add to give the coefficient of $x$ (5). In this case, the numbers are 0 and 5. So we can write the equation as:

$$(x+0)(x+5)=0$$

Now we can use the zero product property, which says that if the product of two factors is zero, then at least one of the factors must be zero. So we can set each factor equal to zero and solve for $x$:

$$x+0=0 \quad \text{or} \quad x+5=0$$ $$x=0 \quad \text{or} \quad x=-5$$

These are the two solutions of the equation. We can check them by plugging them back into the original equation and verifying that they make it true.

Another way to solve this equation is to use the quadratic formula, which says that for any quadratic equation of the form $ax^2+bx+c=0$, the solutions are given by:

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

In this case, we have $a=1$, $b=5$, and $c=0$. Plugging these values into the formula, we get:

$$x=\frac{-5\pm\sqrt{5^2-4(1)(0)}}{2(1)}$$ $$x=\frac{-5\pm\sqrt{25}}{2}$$ $$x=\frac{-5\pm 5}{2}$$

This gives us two possible values for $x$:

$$x=\frac{-5+5}{2}=\frac{0}{2}=0$$ $$x=\frac{-5-5}{2}=\frac{-10}{2}=-5$$

These are the same solutions that we found by factoring. We can also check them by plugging them back into the original equation and verifying that they make it true.

You can learn more about solving quadratic equations from these sources:

- [Калькулятор Уравнений - Symbolab](https://ru.symbolab.com/solver/equation-calculator) - [Алгебраический калькулятор | Microsoft Math Solver](https://mathsolver.microsoft.com/ru/algebra-calculator) - [Онлайн калькулятор. Решение квадратных уравнений](https://ru.onlinemschool.com/math/assistance/equation/quadratic/)