Squares

x has a little 2 above it.

What it looks like

x² = 9

x² is said "x squared". It means x times x. So this puzzle asks: what number times itself makes 9?

Square numbers to know

Number12345678910
Squared149162536496481100

Worked example 1

  1. x² = 9

  2. 3 times 3 is 9.

  3. x = 3

In the game you find this with the square root spell. The next page shows how.

Worked example 2

A number in front of x².

  1. 2x² = 18

  2. Divide both sides by 2

  3. x² = 9

  4. x = 3

2x² means 2 times x². Only the x is squared, not the 2.

Check it: 3 times 3 is 9. Then 2 times 9 is 18.

The most common mistake

Thinking the little 2 means "times 2".

Not this

3² is 3 times 2

6

This

3² is 3 times 3

9

In the game

You meet these puzzles in the Shadow Spire.

Back to the game