Question

Solve x³= -29 where x is a real number. Simplify your answer as much.

Answer 1

The equation x³ = -29 is solved by taking the cube root of -29, resulting in x = -3.0723 (rounded to four decimal places). The quadratic formula is not used because it is not a quadratic equation.

Step-by-step explanation:

To solve the given equation x³ = -29 where x is a real number, we need to find the cube root of -29. This equation is not a quadratic equation, so the quadratic formula is not applicable here. Instead, we use the property that for any real number a, the cube root of a³ is a. Thus:

x = ∛(-29)

Since the cube root of a negative number is negative, we have:

x = -∛(29)

Therefore, the solution is x = -3.0723 (rounded to four decimal places).