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could you explain me what's the right way to solve these equations. i've never solved it before.

[tex]f(x+y)+f(x-y)=2f(x)f(y)\,\;\;\forall x,y\in\mathbb{R}[/tex]

[tex]f(x)+\left(x+\frac{1}{2}\right)f(1-x)=1\,\;\;\forall x\in\mathbb{R}[/tex]

thank you............

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# Functional equations

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