Question

What is the solution of the equation −x2.9=−3 ?(1 point) Responses 87 87 8.7 8.7 −8.7 negative 8.7 −87

Answer 1

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

1. Multiply both sides by -1:
\[
x^{2.9} = 3
\]

2. Next, we need to take the 2.9th root of both sides:
\[
x = 3^{\frac{1}{2.9}}
\]

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

Using a calculator:
\[
3^{\frac{1}{2.9}} \approx 1.565
\]

So, \(x \approx 1.565\).

Looking at the provided options, they seem to be:

- 87
- 8.7
- -8.7
- -87

None of these options exactly match our calculated result of approximately 1.565. However, it appears there's potentially a miscommunication in the values listed, as none fit the solution derived from the equation.

Given the closest approximated values, the solution suggests:

- The correct numerical answer is approximately \(1.565\)

If you meant for the values to reference possible estimated digits or alternatives, ensure to cross-check with available options, as none appear directly related. `1.565` does not correlate directly to the options provided, yielding possible confusion.

Thus, none of the given options appears correct as the solution to the equation.