Questions: Correct For the following equation, determine the values of the missing entries. Reduce all fractions to lowest terms. x=y^2 Note: Each column in the table represents an ordered pair. If multiple solutions exist, you only need to identify one. Answer x 0 5 16 100 y 0 sqrt(5) 4

Correct For the following equation, determine the values of the missing entries. Reduce all fractions to lowest terms. x=y^2 Note: Each column in the table represents an ordered pair. If multiple solutions exist, you only need to identify one. Answer x 0 5 16 100 y 0 sqrt(5) 4
Transcript text: Correct For the following equation, determine the values of the missing entries. Reduce all fractions to lowest terms. \[ x=y^{2} \] Note: Each column in the table represents an ordered pair. If multiple solutions exist, you only need to identify one. Answer \begin{tabular}{|l|l|l|l|l|l|} \hline$x$ & 0 & 5 & 16 & 100 & $\square$ \\ \hline$y$ & 0 & $\sqrt{5}$ & 4 & $\square$ & \\ \hline & & & & & \\ \hline \end{tabular}
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Solution

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Solution Steps

To solve the equation \(x = y^{2}\) and fill in the missing entries in the table, we can simply take the square root of the given values of \(x\) to find the corresponding values of \(y\). We will then fill in the missing entries in the table using the same logic.

Step 1: Calculate the values of \( y \) corresponding to the given values of \( x \)

Given:

  • \( x = [0, 5, 16, 100, 400] \)

Calculate:

  • \( y = [0.0, 2.2361, 4.0, 10.0, 20] \)

Final Answer

\(\boxed{20}\)

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