SOLUTION: Solve the following equation for A:2/A=8+4A

Question 202657: Solve the following equation for A:2/A=8+4A
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation.

Multiply both sides by "a".

Distribute

Subtract 2 from both sides.

Rearrange the terms.

Notice that the quadratic is in the form of where , , and

Let's use the quadratic formula to solve for "a":

Start with the quadratic formula

Plug in , , and

Square to get .

Multiply to get

Rewrite as

Add to to get

Multiply and to get .

Simplify the square root (note: If you need help with simplifying square roots, check out this solver)

or Break up the expression.

or Reduce

So the solutions are or

which approximate to or
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