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.

X=0, Blank, 64, 100, Blank

Y=Blank, Sq root of 6, Blank, Blank, -1

Answer:

To solve for the missing entries, we can substitute the given values into the equation x = y^2 and solve for the missing values.

When x = 0, we have:

0 = y^2

This means y must be 0 as well.

When x = 64, we have:

64 = y^2

Taking the square root of both sides, we get:

8 = y or -8 = y

So the missing values in the table are:

X=0, 8, 64, 100, -8

Y=0, Sq root of 6, 8, -10, -1

Note that we can take the positive or negative square root when solving for y, which is why there are two possible values for y when x = 64.

We can enter the given numbers into the equation x = y2 and solve is for missing values to fill in the missing entries.

When x = 0, we have:

0 = y^2

This means y must be 0 as well.

When x = 64, we have:

64 = y^2

When we square the two sides, we get the following result:

8 = y or -8 = y.

The table's missing values are thus:

X=0, 8, 64, 100, -8

Y=0, Square root of 6, 8, -10, -1

There seem to be two possible answers for y for x = 64 due to the fact that while solving for y, we have the option of taking either the positive or the negative square root.

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