SOLUTION: Please show me the steps to doing this problem...I can't figure this one out Solve equation using the quadratic formula 4x^2 =2x + 1 Thank you very much

Question 169892: Please show me the steps to doing this problem...I can't figure this one out
Solve equation using the quadratic formula
4x^2 =2x + 1
Thank you very much
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Start with the given equation.

Get all terms to the left side.

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

Let's use the quadratic formula to solve for x

Start with the quadratic formula

Plug in , , and

Negate to get .

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 answers are or

which approximate to or

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