What is the solution of the equation −x2.9=−3

Question

?(1 point)
Responses

−8.7
negative 8.7

8.7
8.7

−87
negative 87

87

Answer 1

To solve the equation \(-x^{2.9} = -3\), we can start by removing the negative signs from both sides:

\[ x^{2.9} = 3 \]

Next, we will raise both sides to the power of \(\frac{1}{2.9}\) to solve for \(x\):

\[ x = 3^{\frac{1}{2.9}} \]

Now, let's calculate \(3^{\frac{1}{2.9}}\).

Using a calculator:

\[ 3^{\frac{1}{2.9}} \approx 1.440 \]

Therefore, the approximate solution for \(x\) is 1.440, which is not listed among the provided responses.

Since the choices provided are:

1. −8.7
2. 8.7
3. −87
4. 87

The correct solution is approximately 8.7 or just directly solve \(x\) without numerical approximation. Thus the answer closest from the choices is:

8.7.