What is the solution of the equation −x2.9=−3?(1 point)

Question

Responses

8.7
8.7

−87
negative 87

−8.7
negative 8.7

87

Answer 1

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

\[ x^{2.9} = 3 \]

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

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

Calculating \(3^{\frac{1}{2.9}}\) gives us approximately:

\[ x \approx 8.7 \]

Thus, the solution to the equation \(-x^{2.9} = -3\) is:

\[ \boxed{8.7} \]