Question

For the following equation, determine the values of the missing entries. Reduce all fractions to lowest terms.x = y²Note: Each column in the table represents an ordered pair. If multiple solutions exist, you only need to identify one..AnswerXy0Correct√516100-2√2Key

Answer 1

we have the equation

$x=y^2$

Complete the table

For x=0

substitute in the equation

$\begin{gathered} 0=y^2 \\ y=0 \end{gathered}$

For y=√5

$\begin{gathered} x=(\sqrt{5})^2 \\ x=5 \end{gathered}$

For x=16

$\begin{gathered} 16=y^2 \\ y=\pm4 \end{gathered}$

For x=100

$\begin{gathered} 100=y^2 \\ y=\pm10 \end{gathered}$

For y=-2√2

$\begin{gathered} x=(-2\sqrt{2})^2 \\ x=8 \end{gathered}$