Question

Решение уравнения - x^2(x-2)

Answer 1

${x}^{2} (x - 2) = 0 \\ {x}^{2} =0 \\ x = 0 \\ x - 2 = 0 \\ x = 2$

Ответ: 0; 2.

Answer 2

Ответ:

0;2

Объяснение:

-x²(x-2)

-x³ + 2x²

x²( -x +2)

x² =0       -x +2 =0

x = 0       x = 2

Answer 3

To solve the equation $x^2(x-2) = 0$, we need to find the values of $x$ that make the equation true. To do that, we can use the zero-product property, which states that if the product of two factors is equal to zero, then at least one of the factors must be zero.

So, we set each factor equal to zero and solve for $x$:

1. $x^2 = 0$
2. $x - 2 = 0$

Let's solve each equation:

1. $x^2 = 0$

To solve this, we take the square root of both sides:

$x = \sqrt{0} \quad \text{or} \quad x = -\sqrt{0}$

Since the square root of 0 is 0, we have:

$x = 0$

2. $x - 2 = 0$

To solve this, we isolate $x$ by adding 2 to both sides:

$x = 2$

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