Question

Решите уравнение: (5х+3)^3=-8

Answer 1

15х+9=-8-9
15х=-17
х=-1 целая, две пятнадцатых

Answer 2

I can help you solve the equation.

Here are the steps to solve the equation:

- First, we need to find the cube root of both sides of the equation. The cube root of -8 is -2, so we have:

$$\sqrt[3]{(5x+3)^3}=\sqrt[3]{-8}$$

$$5x+3=-2$$

- Next, we need to isolate x by subtracting 3 from both sides of the equation. We have:

$$5x+3-3=-2-3$$

$$5x=-5$$

- Finally, we need to divide both sides by 5 to get the value of x. We have:

$$\frac{5x}{5}=\frac{-5}{5}$$

$$x=-1$$

Therefore, the solution of the equation is x = -1. You can check this by plugging in the value of x into the original equation and verifying that both sides are equal.

For more information on how to solve cubic equations, you can visit this [website](https://ru.symbolab.com/solver/equation-calculator).

I hope this helps. Do you have any other questions?