SOLUTION: e^x+e^-x=7 I need to solve the exponential equation please help me get started.

Question 188046: e^x+e^-x=7 I need to solve the exponential equation please help me get started.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation

Rewrite as

Now let

Replace each term with "u"

Multiply EVERY term by the LCD "u" to clear the fractions.

Subtract 7u from both sides.

Now use the quadratic equation to solve for "u". Once you have the solutions in terms of "u", substitute back in to solve for "x".
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