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## Homework Statement

Solve for a

[tex]7=\frac{a}{2}(e^\frac{4}{a} + e^\frac{-4}{a}) + a[/tex]

## Homework Equations

[tex]7=\frac{a}{2}(e^\frac{4}{a} + e^\frac{-4}{a}) + a[/tex]

## The Attempt at a Solution

[tex]7=\frac{a}{2}(e^\frac{4}{a} + e^\frac{-4}{a}) + a[/tex]

multiply by 2 on both sides

[tex]14=a(e^\frac{4}{a} + e^\frac{-4}{a}) + a[/tex]

this is where i am stuck

is it even possible?

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