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If $\lfloor x \rfloor + x = 4.8$, solve for x.

 Jul 31, 2022
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Note that the floor part of x will always be an integer, so x must end in .8.

 

Now, let \(x = a + 0.8\), where \(a = \lfloor x \rfloor\)

 

We now have the equation \(2a + 0.8 = 4.8\), meaning \(a = 2\), so \(x = 2 + 0.8 = \color{brown}\boxed{2.8}\)

 Jul 31, 2022

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