SOLUTION: solve the equation for x and express the roots in simplest a+ bi form: 3x^2=2x-1

Question 585882: solve the equation for x and express the roots in simplest a+ bi form: 3x^2=2x-1

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Start with the given equation.

Get every term to the left side.

Notice that the quadratic is 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

Subtract from 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

or Break up the fraction and rearrange terms.

So the solutions are or

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