Question

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 1

\[x=y^2\]
1.
when x=0
\[y^2=0\]
y=0
(0,0)
2.
\[y=2\sqrt{2}\]
\[x=(2\sqrt{2})^2=8\]
\[(8,2 \sqrt{2})\]
3.
x=64
\[64=y^2\]
\[y=\pm 8\]
(64,8)
4.
x=9
\[9=y^2\]
\[y=\pm3 \]
5.
y=-3
\[x=y^2\]
\[x=(-\sqrt{3})^2=3\]
\[(3,-3)\]