Question

Помогите плиз) x^2-9|x|=0

Answer 1

X(x-9)=0
x=0
x=9
x=-9
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Answer 2

I can help you solve this equation. First, we need to consider two cases: when $|x|$ is positive and when $|x|$ is negative.

Case 1: $|x| = x$ (when $x \geq 0$)

Then the equation becomes $x^2 - 9x = 0$. We can factor this as $x(x - 9) = 0$. So the solutions are $x = 0$ or $x = 9$.

Case 2: $|x| = -x$ (when $x < 0$)

Then the equation becomes $x^2 + 9x = 0$. We can factor this as $x(x + 9) = 0$. So the solutions are $x = 0$ or $x = -9$.

Combining both cases, we get four possible solutions: $x = 0, 9, -9$. However, we need to check if they satisfy the original equation. Plugging in $x = 0$, we get $0^2 - 9|0| = 0$, which is true. Plugging in $x = 9$, we get $9^2 - 9|9| = 0$, which is also true. Plugging in $x = -9$, we get $(-9)^2 - 9|-9| = 0$, which is false. Therefore, the final answer is $x = 0$ or $x = 9$.

You can also use a free online calculator to solve equations like this. Here are some links that might be useful:

- [Solve for x Calculator](https://www.mathway.com/Calculator/solve-for-x-calculator) - [Mathway | Решение задач по алгебре](https://www.mathway.com/ru/Algebra) - [Mathway | Algebra Problem Solver](https://www.mathway.com/algebra)

I hope this helps. Have a nice day!