Question

Решите уравнение корень - 24 -10x=-х . Если уравнение имеет более одного корня, укажите меньший из них. помогите пожалуйста решить очень нужно прям срочно заранее спасибо

Answer 1

$\sqrt{-24-10x} =-x\\\\( \sqrt{-24-10x} ) ^{2}=(-x) ^{2}\\\\-24-10x= x^{2} \\\\ x^{2} +10x+24=0\\\\D = 10 ^{2}-4*1*24=100-96=4=2 ^{2}\\\\ x_{1}= \frac{-10-2}{2}=-6\\\\ x_{2}= \frac{-10+2}{2}=-4\\\\\\ \sqrt{-24-10*(-6)}= -(-6) \\\\ \sqrt{-24+60}=6 \\\\ \sqrt{36}=6\\\\6=6\\\\ \sqrt{-24-10*(-4)}=-(-4)\\\\ \sqrt{-24+40}=4\\\\ \sqrt{16}=4 \\\\4=4$
Ответ : - 6

Answer 2

Solving the Equation

To solve the equation -24 - 10x = -x, we can follow these steps:

1. First, let's combine like terms by adding x to both sides of the equation to get rid of the variable on the right-hand side: - -24 - 10x + x = 0 - x - -24 - 9x = -x

2. Next, let's add 9x to both sides to isolate x on one side of the equation: - -24 - 9x + 9x = -x + 9x - -24 = 8x

3. Finally, we'll solve for x by dividing both sides by 8: - -24 / 8 = x - -3 = x

So, the solution to the equation -24 - 10x = -x is x = -3.

Conclusion

The solution to the given equation is x = -3. If you have any more questions or need further assistance, feel free to ask!