Question

2) x^3-13x^2+36x=0;​

Answer 1

Ответ: x₁=0     x₂=4      x₃=9.

Пошаговое объяснение:

x³-13x²+36x=0

x*(x²-13x+36)=0

x₁=0

x²-13x+36=0     D=25     √D=5

x₂=4      x₃=9.

Answer 2

To solve the equation $x^3 - 13x^2 + 36x = 0$, we can factor out an $x$ term:

$x(x^2 - 13x + 36) = 0$

Now we have two possible solutions:

1. $x = 0$

To find the remaining solutions, we can solve the quadratic equation $x^2 - 13x + 36 = 0$. This equation can be factored as:

$(x - 4)(x - 9) = 0$

Therefore, the quadratic equation has two solutions: $x = 4$ and $x = 9$.

In summary, the solutions to the equation $x^3 - 13x^2 + 36x = 0$ are $x = 0$, $x = 4$, and $x = 9$.