Question

Решить уравнение x² + 9x = 0

Answer 1

Х(х+9)=0
х=0 или х=-9

Answer 2

To solve the quadratic equation $x^2 + 9x = 0$, we need to find the values of $x$ that make the equation true. The first step is to factor the equation if possible:

$x^2 + 9x = 0$

Now, we notice that both terms have a common factor of $x$:

$x(x + 9) = 0$

Now, we can apply the zero-product property, which states that if the product of two factors is zero, then at least one of the factors must be zero:

$x = 0$ or $x + 9 = 0$

Now, solve for $x$ in each case:

1. $x = 0$
2. $x + 9 = 0$

For the second equation:

$x + 9 = 0$

Subtract 9 from both sides:

$x = -9$

So, the solutions to the equation $x^2 + 9x = 0$ are $x = 0$ and $x = -9$.