User:Bedelato

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Assume a and b are real numbers.

We start with:

b=-a

From this we can also conclude:

a=-b

Square each side:

(a)^2=(-b)^2

A negative times a negative is a positive:

a^2=b^2

Take the square root:

\sqrt{a^2}=\sqrt{b^2}

We get:

a=b

From our original equation b=-a:

a=-a

This plainly shows that any number is equal to its negative.

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