SOLUTION: Please help me solve this equation: {{{ 4x^2-4x+3=0 }}}

Question 227951: Please help me solve this equation:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Start with the given equation.

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.

So the solutions are or

Note: if you have no idea what the 'i' terms are all about, then you probably haven't learned about imaginary numbers yet. If that's the case, then there are no solutions to this problem.
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