How does squaring both sides of an equation lead to extraneous solutions? – math.stackexchange.com

How does squaring both sides of an equation lead to extraneous solutions? – math.stackexchange.com

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Let’s say I have $x = x + 1$, which is a false statment for real $x$; why can I solve for real $x$ when I square both sides of the equation, giving $x^2=(x+1)^2$?

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