Solve for f
f = \frac{5}{2} = 2\frac{1}{2} = 2.5
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\left(\frac{1}{2}\right)^{2}\left(\sqrt{10}\right)^{2}=f
Expand \left(\frac{1}{2}\sqrt{10}\right)^{2}.
\frac{1}{4}\left(\sqrt{10}\right)^{2}=f
Calculate \frac{1}{2} to the power of 2 and get \frac{1}{4}.
\frac{1}{4}\times 10=f
The square of \sqrt{10} is 10.
\frac{5}{2}=f
Multiply \frac{1}{4} and 10 to get \frac{5}{2}.
f=\frac{5}{2}
Swap sides so that all variable terms are on the left hand side.
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