Determine whether each value of x in the table is a solution to the equation x² = 71, the equation x³ = 71, or neither

To determine if the values of ( x ) in your table are solutions to the equations ( x^2 = 71 ), ( x^3 = 71 ), or neither, you should follow these steps:

1. For ( x^2 = 71 ):

– Solve for ( x ): ( x = sqrt{71} ) or ( x = -sqrt{71} ).

– Approximate ( sqrt{71} ) to find the numerical answers.

2. For ( x^3 = 71 ):

– Solve for ( x ): ( x = sqrt[3]{71} ).

– You can use a calculator for the cube root to find the numerical answer.

3. Compare each value of ( x ) from the table with the results from each equation. If the value matches ( sqrt{71} ) or ( -sqrt{71} ), it’s a solution for ( x^2 ). If it matches ( sqrt[3]{71} ), it’s a solution for ( x^3 ).

If you provide specific values of ( x ) from your table, I can help you categorize them as solutions or not.