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Equal sign

In mathematics, at the left and right of the equal sign (=) the same is stated.


Example 1

Some simple calculations are

If left and right are not identical you have a mathematical error.


Example 2

The equation

x2 = 2x

can be solved, because for x = 2 you get

22 = 22     ⇒     4 = 4

and that's right. That you could see quickly. But there are more solutions. By careful thinking and trying you can figure them out.


Example 3

In Euler's formula, you can fill in the definitions of the sine and the cosine, and then you find


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