Question

Розв'язати рівняння:х³-4х=0​

Answer 1

Ответ:

$x³-4x=0 \\ x( {x}^{2} - 4) =0 \\ {x}^{2} - 4 = 0 \\ {x}^{2} = 4 \\ x \times x = 4 \\ x = 2 \\ \\ \sqrt{x} = 4 \\ \sqrt{4} = 2$

Answer 2

х³-4х=0​
x·(x²-4)=0
x=0
x=0
x²-4
x=-2
x=2
x₁=-2
x₂=0
x₃=2

Answer 3

I can help you solve the equation $x^3-4x=0$. First, we need to factor out the common factor of $x$ from both terms. We get:

$$x^3-4x=0$$ $$x(x^2-4)=0$$

Next, we can use the difference of squares formula to factor the second term. We get:

$$x(x^2-4)=0$$ $$x(x+2)(x-2)=0$$

Now, we can use the zero product property to find the values of $x$ that make the equation true. We get:

$$x(x+2)(x-2)=0$$ $$x=0 \text{ or } x+2=0 \text{ or } x-2=0$$ $$x=0 \text{ or } x=-2 \text{ or } x=2$$

Therefore, the equation has three solutions: $x=0$, $x=-2$, and $x=2$. You can check these solutions by plugging them back into the original equation.

If you need more help with solving equations, you can use some online calculators that show you the steps and explanations. For example, you can try [this one](https://mathdf.com/equ/uk/) or [this one](https://ua.onlinemschool.com/math/assistance/equation/quadratic/).