SOLUTION: solving a polynomial equation 2/9=8n^2

Question 189895: solving a polynomial equation
2/9=8n^2
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation.

Multiply both sides by 9.

Multiply

Subtract 2 from both sides.

Notice we have a quadratic equation in the form of where , , and

Let's use the quadratic formula to solve for n

Start with the quadratic formula

Plug in , , and

Square to get .

Multiply to get

Rewrite as

Add to to get

Multiply and to get .

Take the square root of to get .

or Break up the expression.

or Combine like terms.

or Simplify.

So the answers are or
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