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

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.